charges. electrons p+ n nucleus e- source of electrons(force)

ChargesCharges

Electrons Electrons

P+n

nucleus

e-

Source of Electrons(Force) Source of Electrons(Force)

Matter Weight - SpaceMatter Weight - Space

Solid Liquid Gas Plasma

AtomsAtoms

Pn

nucleus

e-

valenceshell

AtomsAtoms

Atomic Number ndash Number of Protons

Atomic Weight ndash Number of Protons plus Neutrons

Number of Protons EQUALS Electrons in a neutral atom

IonizationIonization

The process where an atom gains or loses an electron

NaNa++ClCl--Na ndash Positive IonCl ndash Negative Ion

Charges (q) Charges (q)

Like Charges (++ - -)Like Charges (++ - -)

q- q-

q+ q+Repel


Un-Like Charges (+ -)Un-Like Charges (+ -)

q+ q-Attract

Coulombrsquos LawCoulombrsquos Law

Coulomb (C)Coulomb (C)

The quantity of charge The quantity of charge on an abjecton an abject

1C = 625 x 101C = 625 x 101818 e e--

q-


q1 q2


What does the force What does the force depend ondepend on

q1 q2


1The charge on q1The charge on q11 and q and q22

2The distance (d)2The distance (d)

d

q-

d d2

q1 q2

Mathematical Model for Mathematical Model for Coulombrsquos Law Force (F)Coulombrsquos Law Force (F)

d

F infinF infin q1q2 q1q2

F infinF infin 1d 1d22

q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm

d = 3cm = 3x10d = 3cm = 3x10-2-2mmK = 90 X 10K = 90 X 1099 N Nmm22CC22

qq11= +6= +6μμC = +6x10C = +6x10-6-6CCqq22= +3= +3μμC = +6x10C = +6x10-6-6C C

What is the force on qWhat is the force on q22

F =F =

(3X10(3X10-2-2m)m)22

9X109X1099NNmm22CC22(6X10(6X10-6-6C)(6X10C)(6X10-6-6C)C)

qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2

Electric FieldsElectric Fields

Think of gravity or Think of gravity or gravitational field to gravitational field to

understand electric fieldsunderstand electric fields

Electric Fields Electric Fields vs vs GravityGravity

gg

Electric Electric FieldsFields

EE

neutralneutral neutralneutral

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -

ElectricElectric Fields Fields

EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


A force field due to electric A force field due to electric chargescharges

EE

A force on a charge due to A force on a charge due to another chageanother chage

Electric Field Point ChargeElectric Field Point Charge

qq

E =E = kqkqrr22

rr

Force on a charge lsquoqrsquo in an Force on a charge lsquoqrsquo in an Electric FieldElectric Field

QQqq

E =E = FFqq

E =E = FFqq

E =E = NewtonNewtonCoulombCoulomb

E =E = NNCC

Energy and WorkEnergy and Work


++ --

It takes work to move It takes work to move the ldquo-rdquo chargethe ldquo-rdquo charge

Electric Potential (Energy)Electric Potential (Energy)VoltageVoltage

++

qrsquoqrsquo

ΔΔV =V =

Work on Work on qrsquoqrsquo

qrsquoqrsquo

JoulJouleeCoulomCoulom

bb=== volt= volt


++

qrsquoqrsquo

ΔΔV = VV = VBB - V - VAA

VVAA VVBB

ldquoldquoPotential DifferencerdquoPotential DifferencerdquoVoltageVoltage


ΔΔV V = = Fd Fd

q q ΔΔV V = = Eqd Eqd

q q

E = E = F F q q


ΔΔV V = = Ed Ed

Example Example Two parallel plates are given Two parallel plates are given opposite charges A opposite charges A

voltmeter measures the voltmeter measures the electric potental differnece electric potental differnece to be 60V The plates are to be 60V The plates are 3ocm apart What is the 3ocm apart What is the magnitude of the electric magnitude of the electric

field between them field between them

- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m

20002000J(mJ(mmiddotC)= E middotC)= E

2000 2000 NNC = E C = E

CurrentCurrent

Flow of chargeFlow of charge

Charge - Coulomb(C) Charge - Coulomb(C) 624 X 10624 X 101818 electrons electrons

e ee e ee e e e e e eeee e

Leyden JarLeyden Jar

ConductorsConductors


++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor

A capacitor is a passive electronic component that stores energy in the form of an electrostatic field

CapacitorCapacitor

Metal Plates

Insulating MaterialDielectric

CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++

CopperCopperZincZinc

--

CurrentCurrent


Number of electrons Number of electrons passing a point in a passing a point in a secondsecond

CurrentCurrent

Symbol - Symbol - II

Unit ndash Unit ndash Ampere (Amps)Ampere (Amps)

Amperes - Amperes - AA

ForceForce


VoltageVoltage

Potential DifferencePotential Difference

Electromotive Force (EMF)Electromotive Force (EMF)

VoltageVoltage

Symbol - Symbol - VV

Unit ndash Unit ndash VoltVolt

Volt - Volt - VV

ResistanceResistance

Opposition to Current FlowOpposition to Current Flow

High ResistanceHigh ResistanceInsulatorInsulator



Low ResistanceLow ResistanceConductorConductor



High and Low ResistanceHigh and Low ResistanceSemiConductorSemiConductor


Symbol - Symbol - RR

Unit ndash Unit ndash OhmOhm

Ohm - Ohm - ΩΩ

Putting it all TogetherPutting it all Together

LoadSource

Path

Homework 1-1Homework 1-1

WorksheetWorksheetDue 9902Due 9902Test 9902Test 9902

Electric Fields vs Gravity

Electric Fields

Slide 22

Slide 23

Electric Field Point Charge

Force on a charge lsquoqrsquo in an Electric Field

Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

Electrons Electrons

P+n

nucleus

e-




AtomsAtoms

Pn

nucleus

e-

valenceshell

AtomsAtoms









q- q-

q+ q+Repel



q+ q-Attract




1C = 625 x 101C = 625 x 101818 e e--

q-


q1 q2



q1 q2




d

q-

d d2

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper




AtomsAtoms

Pn

nucleus

e-

valenceshell

AtomsAtoms









q- q-

q+ q+Repel



q+ q-Attract




1C = 625 x 101C = 625 x 101818 e e--

q-


q1 q2



q1 q2




d

q-

d d2

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

AtomsAtoms









q- q-

q+ q+Repel



q+ q-Attract




1C = 625 x 101C = 625 x 101818 e e--

q-


q1 q2



q1 q2




d

q-

d d2

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper






q- q-

q+ q+Repel



q+ q-Attract




1C = 625 x 101C = 625 x 101818 e e--

q-


q1 q2



q1 q2




d

q-

d d2

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper



q+ q-Attract




1C = 625 x 101C = 625 x 101818 e e--

q-


q1 q2



q1 q2




d

q-

d d2

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper




1C = 625 x 101C = 625 x 101818 e e--

q-


q1 q2



q1 q2




d

q-

d d2

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

q-


q1 q2



q1 q2




d

q-

d d2

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

q1 q2



q1 q2




d

q-

d d2

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

q1 q2




d

q-

d d2

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

q-

d d2

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

q1 q2


d



q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

q1 q2d

F =F =

qq11qq22

dd22KK

K = 90 X 10K = 90 X 1099 N Nmm22CC22

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

q1 q2d=3cm




F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

F =F =

(3X10(3X10-2-2m)m)22


qq11qq22

dd22

KK

F =F = 18X1018X1022NN

q1 q2





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper





gg


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


EE


++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


EE

++

++

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


EE

--

--

++++++++++++++++++++

- - - - - - - - - - - - - - - - - - - -



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper



EE



qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


qq

E =E = kqkqrr22

rr


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


QQqq

E =E = FFqq

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

E =E = FFqq


E =E = NNCC



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper



++ --



++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


++

qrsquoqrsquo

ΔΔV =V =


qrsquoqrsquo


bb=== volt= volt


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


++

qrsquoqrsquo


VVAA VVBB



ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


ΔΔV V = = Fd Fd


q q

E = E = F F q q


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


ΔΔV V = = Ed Ed




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper




- - - - - - - - - - - - - - - - - - - -

++++++++ ++++++++++++

EΔV

d

ΔV=600V D=0030m

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

ΔΔV V = = Ed Ed

= E = E ΔΔVVd d

= E = E

60V60V003003m m


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


2000 2000 NNC = E C = E

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

CurrentCurrent







++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper




++++

++++

++++------------ ----

--------

++++ ++++++++

------

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

CapacitorCapacitor


CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

CapacitorCapacitor

Metal Plates


CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

CapacitorCapacitor

-+e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

e-

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

CapacitorCapacitor

-- ---- -- -- ---- --

++++++++ ++++++++


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


--

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

CurrentCurrent



CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

CurrentCurrent




ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

ForceForce


VoltageVoltage



VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

VoltageVoltage



Volt - Volt - VV













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper













Ohm - Ohm - ΩΩ


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper


LoadSource

Path




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper




Electric Fields

Slide 22

Slide 23



Slide 27

Slide 28

Example

Slide 38

Slide 39

Slide 40

Slide 43

Capacitor

Slide 45

Slide 46

Slide 47

Copper

charges. electrons p+ n nucleus e- source of electrons(force)

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