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## Electromagnetic Induction

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### Electromagnetic Induction Phys 133 -- Chapter 33 * * * * * * * * * * * Phys 133 -- Chapter 33 * Maxwell s equations Phys 133 -- Chapter 33 * +math Light is an E&M ... – PowerPoint PPT presentation

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Title: Electromagnetic Induction

1
Chapter 33
• Electromagnetic Induction

2
Demo Faraday
3
Some experiments
4
Motional emf
5
Motional emf (cont.)
Reach equilibrium
6
Problem 33.1
A potential difference of 0.050 V is developed
across a 10-cm long wire as it moves through a
magnetic field at 5.0 m/s. The magnetic field is
perpendicular to the wire axis. What are
strength and direction of field?
7
Problem 33.1 (ans)
At equilibrium
Out of page
8
Induced current
--moving charges in B field, force --gt
current --current-carrying wire in field, force
9
Do workbook 33.1
10
Eddy currents
11
Do workbook 33.2 4
12
Eddy currents (cont.)
13
Demo eddy currents
14
Do workbook 33.5 7
33.5 7
15
Magnetic flux
16
Do workbook 33.9 11
17
Lenzs law
There is an induced current in a closed,
conducting loop if and only if the magnetic flux
through the loop is changing. The induced
current creates an induced magnetic field which
opposes the change in flux. --changing flux
produces induced current --induced current
creates induced field --induced field opposes the
change
18
Do workbook 33.12, 13 19
19
Problem 33.9
The current in the solenoid is decreasing. The
solenoid is surrounded by a conducting loop. Is
there a current in the loop? If so, is the
current in the loop cw or ccw?
20
Problem 33.9 (ans)
• Find change in flux

Initially
Change in flux to left
• Find induced field

later
Induced field points to right
• Find induced current

Induced current is clockwise from behind
21
Induced fields
field is there independent of wire
22
Faradays law
--law of nature --usually helpful
-field can change -area can change -both can
change
23
Do workbook 33.21
24
Problem 33.12b
The loop is being pushed out of the 0.20 T
magnetic field at 50 m/s. The resistance of the
loop is 0.20 ?. What are the direction and
magnitude of current in the loop?
25
Problem 33.12b (ans)
Counter-clockwise
26
Problem 33.35
Two 20-turn coils are tightly wrapped on the same
2.0-cm-diameter cylinder with 1.0-mm-diameter
wire. The current through coil 1 is shown. A
positive current is into the page at the top of
the loop. Determine the current in coil 2 as
current vs. time t 0 s to 0.4 s. (Assume field
of coil 1 passes completely through coil 2.
27
Problem 33.35 (ans)
28
Problem 33.35 (ans)
Right to left through resistor
29
Generator
30
Transformer
31
Coulomb and non-Coulomb electric fields
32
Maxwell and induced magnetic field
-symmetric in E and B
33
E M equations
34
Maxwells equations
35
Maxwell-no charges or current
math
Light is an EM wave!!!
36
EM waves
37
Problem 33.49
• A U-shaped conducting rail that is oriented
vertically in a horizontal magnetic field. The
rail has no electrical resistance and does not
move. A slide wire with mass m and resistance R
can slide up and down without friction while
maintaining electrical contact with the rail. The
slide wire is release from rest.
1. Describe the motion of the slide wire.
2. Find the terminal velocity of the slide wire
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