Phys 133 -- Chapter 33 1

Chapter 33

Electromagnetic Induction

Phys 133 -- Chapter 33 2

Demo Faraday

Phys 133 -- Chapter 33 3

Some experiments

Phys 133 -- Chapter 33 4

Motional emf

Phys 133 -- Chapter 33 5

Motional emf (cont.)Reach equilibrium

Phys 133 -- Chapter 33 6

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?

Problem 33.1

Phys 133 -- Chapter 33 7

Problem 33.1 (ans)At equilibrium

FeFm

Out of page

Phys 133 -- Chapter 33 8

--moving charges in B field, force --> current

--current-carrying wire in field, force

Induced current

Phys 133 -- Chapter 33 9

Do workbook 33.1

Phys 133 -- Chapter 33 10

Eddy currents

Phys 133 -- Chapter 33 11

Do workbook 33.2 & 4

Phys 133 -- Chapter 33 12

Eddy currents (cont.)

Phys 133 -- Chapter 33 13

Demo eddy currents

Phys 133 -- Chapter 33 14

Do workbook 33.5 & 7

33.5 & 7

Phys 133 -- Chapter 33 15

Magnetic flux

Phys 133 -- Chapter 33 16

Do workbook 33.9 & 11

Phys 133 -- Chapter 33 17

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

Lenz’s law

Phys 133 -- Chapter 33 18

Do workbook 33.12, 13 & 19

Phys 133 -- Chapter 33 19

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?

Problem 33.9

Phys 133 -- Chapter 33 20

Problem 33.9 (ans)

B1

Initially

later

B2

∆Change in flux to left

• Find change in flux

• Find induced field

Induced field points to right

• Find induced currentInduced current is clockwise from behind

Phys 133 -- Chapter 33 21

field is there independent of wireInduced fields

Phys 133 -- Chapter 33 22

--law of nature

--usually helpful

Faraday’s law

-field can change

-area can change

-both can change

Phys 133 -- Chapter 33 23

Do workbook 33.21

Phys 133 -- Chapter 33 24

Problem 33.12bThe 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?

Phys 133 -- Chapter 33 25

Problem 33.12b (ans)

L

w

Counter-clockwise

Phys 133 -- Chapter 33 26

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.

0.1 0.3

Problem 33.35

Phys 133 -- Chapter 33 27

Problem 33.35 (ans)

B1

(+)

2

I1

d2/dt

2

I2

Phys 133 -- Chapter 33 28

Problem 33.35 (ans)

(+)

I1

I2

Right to left through resistor

Phys 133 -- Chapter 33 29

Generator

Phys 133 -- Chapter 33 30

Transformer

Phys 133 -- Chapter 33 31

Coulomb and non-Coulomb electric fields

Phys 133 -- Chapter 33 32

-symmetric in E and B

Maxwell and induced magnetic field

Phys 133 -- Chapter 33 33

E & M equations

Phys 133 -- Chapter 33 34

Maxwell’s equations

Phys 133 -- Chapter 33 35

+math

Light is an E&M wave!!!

Maxwell-no charges or current

Phys 133 -- Chapter 33 36

EM waves

Phys 133 -- Chapter 33 37

Problem 33.49A 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.

a) Describe the motion of the slide wire.b) Find the terminal velocity of the slide wire