Show all your work and include units in your answers for full credit. A square c

Question

Show all your work and include units in your answers for full credit. A square coil with 20 loops of wire and side length o 12.0 cm lies in a magnetic field directed out of the page. O O OO OGO (a) Which of the following actions will result in a clockwise induced EMF in the loop? Circle all that apply. A. decreasing the area of the loop B. increasing the area of the loop C. decreasing the magnitude of B D. increasing the magnitude of B E. rotating the loop one quarter turn about the x-axis F. rotating the loop one quarter turn about the y-axis (b) Which of the following actions will result in a counter-clockwise induced EMF in the loop? Circle all that apply. A. decreasing the area of the loop C. decreasing the magnitude of B E. rotating the loop ¼ turn about the x-axis B. increasing the area of the loop D. increasing the magnitude of B F. rotating the loop ¼ turn about the y-axis (c) If the magnitude of the (uniform) magnetic field is increased from 0.25 T to 0.75 T in 0.03 s, what is the average magnitude of the EMF induced in the loop?

Explanation / Answer

We know that by lenz law, EMF is induced in such a way that it will counter the effect of changing flux in the loop.

A)

Clockwise EMF means inside flux will increase, that can be a counter to increasing outward flux.

That can be done either by increasing the area or increasing the magnitude of the magnetic field.

B)

For counter clockwise induced EMF, area should be dcreased, magnitude could also be decreased, or the loop could also be rotated any of the way.

C)

EMF is

EMF =- (change in flux)/( total time taken)

=(0.5*20*.12*.12)/0.03

=4.8V

- sign is just an indication of polarity.

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