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Transcribed Image Text:2. A square copper frame has sides of length b. A very long thin solenoid goes through
the frame as shown. The solenoid has N turns in a total length H and radius a.
Assume that b> 2a so the solenoid goes through the frame. The solenoid has an
AC current given by I(t) = I, sin(wt) with ccw counted as positive. The angular
frequency w is constant.
C.
a.
b. Determine the EMF induced in the frame as a function of time. Please use
Faraday's Law with the minus sign.
d.
Write an expression for the magnetic flux through the square frame as a
function of time. Hint: what is the magnetic field inside and outside a long
solenoid?
ON
2a
head on view
b
What is the amplitude of the induced EMF? The amplitude of a sinusoidal function is the maximum deviation of
the function from the average value. Hint: what is the largest value that cosine or sine can have during a cycle?
What is the induced EMF as a function of time if the square frame was small enough to fit entirely inside the
solenoid (b<2a) as shown? You should be able to figure this out from without redoing all the work.
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