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The rod in the figure below has length L and its position is x at some instant.

ID: 2235471 • Letter: T

Question

The rod in the figure below has length L and its position is x at some instant. Express your answers in terms of x, L, v, B (the magnetic field strength), and R, as needed.



(a) What is the area enclosed by the conducting loop at this instant?
A = _____________


(b) What is the magnetic flux through the loop at this instant?
?B= ____________


(c) The rod moves to the right at speedv. At what rate is the flux changing?


(d) According to Faraday's law, what is the induced emf in the loop?


(e) What is the induced currentI?
I= _______________


(f) Explain why the induced current flows counterclockwise around the loop.


any help would be much appreciated.

Explanation / Answer

a) Area = L * x

b flux = B * area = B L X

c) dflux /dt = B L dx/dt = B L v

d)

emf = dflux /dt = B L v

e) emf = I R

I = B L V/r

f) since the flux is getting bigger into the page the loop wants to oppose it so it puts its B out of the page which means ccw current

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