Transcript Slide 1

Today’s agenda:
Induced emf.
You must understand how changing magnetic flux can induce an emf, and be able to
determine the direction of the induced emf.
Faraday’s Law.
You must be able to use Faraday’s Law to calculate the emf induced in a circuit.
Lenz’s Law.
You must be able to use Lenz’s Law to determine the direction induced current, and
therefore induced emf.
Generators.
You must understand how generators work, and use Faraday’s Law to calculate numerical
values of parameters associated with generators.
Back emf.
You must be able to use Lenz’s law to explain back emf.
Motional emf: an overview
An emf is induced in a conductor moving in a magnetic field.
Your text introduces four ways of producing motional emf.
1. Flux change through a conducting loop produces an emf:
rotating loop.
A
B
= -
d B

dt
start with this
ε = N B A  sin   t 
side view
I=
NBA
R
sin   t 
P = IN B A  s in   t 
derive these
2. Flux change through a conducting loop produces an emf:
expanding loop.
B 









v







 ℓ


dA
x=vdt
= -
d B
dt
start with these
FM = I  B
ε = B
I =
ε
R
=
v
B
v
R
P = FP  v = I B v
derive these
3. Conductor moving in a magnetic field experiences an emf:
magnetic force on charged particles.
B
–




+





v





start with these











F = q E+ v B
ℓ
=E

(M r. E d )
derive this
ε=B v
You could also solve this using Faraday’s Law by constructing a “virtual” circuit using “virtual” conductors.
4. Flux change through a conducting loop produces an emf:
moving loop.
start with this
         
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= -
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d B
dt
derive these
ε=B v
I =
B
v
R
P = I Bv