Five loops are formed of copper wire of the same gauge (cross-sectional area) Lo

Question

Five loops are formed of copper wire of the same gauge (cross-sectional area) Loops 1-4 are identical; loop 5 has the same height as the others but is longer. At the instant shown, all the loops are moving at the same speed in the directions indicated.

There is a uniform magnetic field pointing out of the page in region I; in region II there is no magnetic field. Ignore any interactions between the loops.

a. For any loop that has induced current, indicate the direction of that current.

b. Rank the magnitudes of the emfs around the loops. Explain your reasoning.

c. Rank the magnitudes of the currents in the loops. Explain your reasoning.

Five loops are formed of copper wire of the same gauge (cross-sectional area) Loops 1-4 are identical; loop 5 has the same height as the others but is longer. At the instant shown, all the loops are moving at the same speed in the directions indicated. There is a uniform magnetic field pointing out of the page in region I; in region II there is no magnetic field. Ignore any interactions between the loops.

Explanation / Answer

a)

I2=I3

I1-counterclockwise

I4,I5 -clockwise

b

E2=E3=0<E1=E4=E5

flux through 2 and 3 is not changing.

flux through 1,4 and 5 is changing at same rate.

c)

I2=I3=0<I5<I4=I1

since I=E/R

same emf E for 1,4 and 5 but 5 has higher resistance R due to longer length.thus the resistance is higher I5<I4=I1

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