20150227080251chp 4 magnetism
TRANSCRIPT
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Magnetism
By
ROSZAIRI HARONM.Sc. (Mal), B.Sc. (Hons.) (Mal)
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Magnetic Fields
The needle of a compass is permanent magnet that has a northmagnetic pole (N) at one end and a south magnetic pole (S) at
the other.
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The behavior of magnetic
poles is similar to that of
like and unlike electric charges.
Magnetic Fields
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Surrounding a magnet there is a magnetic f ie ld . The direction
of the magnetic field at any point in space is the direction indicated
by the north pole of a small compass needle placed at that point.
Magnetic Fields
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The magnetic field lines and pattern of iron filings in the vicinity of a
bar magnet and the magnetic field lines in the gap of a horseshoemagnet.
Magnetic Fields
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Magnetic Fields
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When a charge is placed in an electric field, it experiences a
force, according to
EF
q
The Forc e That a Magnetic Field Exerts on a Charge
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The following conditions must be met for a charge to experience
a magnetic force when placed in a magnetic field:
1. The charge must be moving.
2. The velocity of the charge must have a component that is
perpendicular to the direction of the magnetic field.
The Forc e That a Magnetic Field Exerts on a Charge
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Righ t Hand Rule No. 1 . Extend the right hand so the fingers point
along the direction of the magnetic field and the thumb points along
the velocity of the charge. The palm of the hand then faces in the
direction of the magnetic force that acts on a positive charge.
If the moving charge is negative,
the direction of the force is oppositeto that predicted by RHR-1.
The Forc e That a Magnetic Field Exerts on a Charge
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DEFINITION OF THE MAGNETIC FIELD
The magnitude of the magnetic field at any point in space is defined
as
sinvq F
Bo
where the angle (0
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Example 1 Magnetic Forces on Charged Particles
A proton in a particle accelerator has a speed of 5.0x106 m/s. The proton
encounters a magnetic field whose magnitude is 0.40 T and whose direction
makes and angle of 30.0 degrees with respect to the proton’s velocity
(see part (c) of the figure). Find (a) the magnitude and direction of the
force on the proton and (b) the acceleration of the proton. (c) What wouldbe the force and acceleration of the particle were an electron?
The Forc e That a Magnetic Field Exerts on a Charge
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N106.1
0.30sinT40.0sm100.5C1060.1sin
13
619
vBq F o(a)
(b)
(c)
213
27
13
p
sm106.9kg1067.1
N106.1
m
F a
Magnitude is the same, but direction is opposite.
217
31
13
e
sm108.1kg1011.9
N106.1
m
F a
The Forc e That a Magnetic Field Exerts on a Charge
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The magnetic force on the
moving charges pushes the
wire to the right.
The Forc e on a Current in a Magnetic Field
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sinqvB F
sin Bt vt
q F
L
I
sin ILB F
The Forc e on a Current in a Magnetic Field
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Example 5 The Force and Acceleration in a Loudspeaker
The voice coil of a speaker has a diameter of 0.0025 m, contains 55 turns of
wire, and is placed in a 0.10 T magnetic field. The current in the voice coil is
2.0 A. (a) Determine the magnetic force that acts on the coil and the
cone. (b) The voice coil and cone have a combined mass of 0.0200 kg. Find
their acceleration.
The Forc e on a Current in a Magnetic Field
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(a)
N86.0
90sinT10.0m0025.055A0.2
sin
ILB F
(b)2sm43
kg020.0
N86.0
m
F a
The Forc e on a Current in a Magnetic Field
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The Forc e on a Current in a Magnetic Field
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Righ t-Hand Ru le No. 2 . Curl the fingers of the
right hand into the shape of a half-circle. Pointthe thumb in the direction of the conventional
current, and the tips of the fingers will point
in the direction of the magnetic field.
Magnet ic Fields Prod uced by Currents
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A LONG, STRAIGHT WIRE
r
I B
o
2
AmT104 7 o
permeability of
free space
Magnet ic Fields Prod uced by Currents
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Example 7 A Current Exerts a Magnetic Force on a Moving Charge
The long straight wire carries a current
of 3.0 A. A particle has a charge of
+6.5x10-6 C and is moving parallel to
the wire at a distance of 0.050 m. The
speed of the particle is 280 m/s.
Determine the magnitude and direction
of the magnetic force on the particle.
Magnet ic Fields Prod uced by Currents
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sin2
sin
r
I qvqvB F o
r
I B
o
2
Magnet ic Fields Prod uced by Currents
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Current carrying wires can exert forces on each other.
Magnet ic Fields Prod uced by Currents
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Conceptual Examp le 9 The Net Force That a Current-Carrying Wire
Exerts on a Current Carrying Coil
Is the coil attracted to, or repelled by the wire?
Magnet ic Fields Prod uced by Currents
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A LOOP OF WIRE
center of circular loop
R
I B o
2
Magnet ic Fields Prod uced by Currents
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Example 10 Finding the Net Magnetic Field
A long straight wire carries a current of 8.0 A and a circular loop of
wire carries a current of 2.0 A and has a radius of 0.030 m. Find the
magnitude and direction of the magnetic field at the center of the loop.
Magnet ic Fields Prod uced by Currents
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R
I
r
I
R
I
r
I
B
ooo 2121
222
T101.1m030.0
A0.2
m030.0
A0.8
2
AmT104 57
B
Magnet ic Fields Prod uced by Currents
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The field lines around the bar magnet resemble those around the loop.
Magnet ic Fields Prod uced by Currents
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Magnet ic Fields Prod uced by Currents
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A SOLENOID
Inter ior of a solenoid nI B o
number of turns per
unit length
Magnet ic Fields Prod uced by Currents