physics 212 electricity and magnetism
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PHYSICS 212 Electricity and Magnetism. 1. Electric Fields. Fundamental properties of electric charge Charging by induction and conduction Coulombs law and the electric force Electric fields Electric field lines Problems / Vectors. Charge Conservation. Experiments show that. - PowerPoint PPT PresentationTRANSCRIPT
PHYSICS 212 PHYSICS 212 Electricity and Electricity and MagnetismMagnetism
1. Electric Fields1. Electric Fields
Fundamental properties of electric chargeCharging by induction and conductionCoulombs law and the electric forceElectric fieldsElectric field linesProblems / Vectors
Experiments show thatExperiments show that
Electric charge cannot be created nor destroyed #CONSERVATION OF CHARGE
Total charge of an object is always an integer multiple of a basic charge “e”#CHARGE QUANTIZATION
Charge Conservation
Two types of charge #Named + and -#Like charges repel #Unlike charges attract
Repulsion and attraction are
FORCES
Types of Charge
Forces on Charges
Coulombs LawThe force between charges is given byCOULOMBS LAW
F k 2Q1Q
2rˆ r
Meaning of Symbols
Coulombs constant
Unit vector pointing from charge 1 to
charge 2
The distance between the charges
The force exerted on charge 2 by charge 1
k 9
9 102Nm
2C
r
r
F
Atoms = #Nucleus
is very small less than 10-15 m in diameter, but heavy Contains protons and neutrons
plus #Electrons
Diameter approx. 10-10 mare very light but make up the volume of the atom
Atomic Structure
MaterialsMaterials are atoms bound together by electronsElectrons are on the outside
#Produce the quality of
“Solidness”
Different materials hold their electrons with different forcesRubbing one material on the other displaces electronsone material becomes positive the other negative
Charging by Induction
Charging by induction
Charging by ConductionCharging by conduction
+ + + + + ++ + + + + +- - - + + + - - - + + +
+ - + + + + - + - + + +
+ - + + - + + - +
++
F k 2Q1Q
2rˆ r
Coulombs Law
Force due to Many Sources
at a point r The electric Force due to many point charge sources on a charge q
is the vector sum of all forces due to source charges
Diagram of Many SourcesF
r
F1
F2
F3
Q1
Q2
Q3
q
F r iF
i r
Vector Sum
Force Due to Continuous Source
The Electric Force due to a continuous distribution of point charge sources: #A charged solid
at a point r on a charge qis the vector integral of all forces due to the source charges
Diagram of Continuous Source
r dFQ
F
q
F(r) dF(r)solid
Vector Integral
The Electric Field is the
Force per unit charge
The Electric Field is the
Force per unit charge
Electric Field
Q1E ˆ r F Q2
E ˆ r kQ1
2rˆ r
Mathematical Expression
at a point r The Electric Field Electric Field due to many point charge sources is the vector sum of all fields due to source charges
Meaning of Symbols
E1
E2
E3 r
E Q1
Q2
Q3
Diagram of Field due to Point Sources
E r iEi r
Vector Sum of Fields
Diagram of Field Due to Continuous Source
r dEQ
E
E(r) dE(r)solid
Vector Integral
Electric FieldElectric Field lines are lines that have
Electric Field vectors as tangent lines at each point.
Electric Field Lines
Picture of Field Lines
Picture of Field Lines
Picture of Field Lines
Picture of Field Lines