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A circular loop of wire with area 0.025m2 lies in the x-y plane. Initially there

ID: 1303132 • Letter: A

Question

A circular loop of wire with area 0.025m2 lies in the x-y plane. Initially there's a magnetic field of 4.4T in the -z-direction. The field remains constant for 7s , then decreases gradually to zero in 7s , and then remains zero for 7s .

Part A

Find the magnitude of the induced emf in the loop for the first 7s interval.

Express your answer to two significant figures and include the appropriate units.

Part B

Find the direction of the induced emf in the loop for the first 7s interval.

Part C

Find the magnitude of the induced emf in the loop for the second 7s interval.

Express your answer to two significant figures and include the appropriate units.

Part D

Find the direction of the induced emf in the loop for the second 7s interval.

Part E

Find the magnitude of the induced emf in the loop for the third 7s interval.

Express your answer to two significant figures and include the appropriate units.

Part F

Find the direction of the induced emf in the loop for the third 7s interval.

clockwise around the z-axis in the xy-plane counterclockwise around the z-axis in the xy-plane no direction

Explanation / Answer


A) dB/dt= 0

emf = A*dB/dt = 0.025*0 = 0


B) no direction


C) dB/dt = -4.4/7

emf = A*dB/dt = 0.025*(4.4/7) = 0.0157 V = 15.7 mV

D) clockwise around the z-axis in the xy-plane


E) dB/dt = 0

emf = A*dB/dt = 0.025*0 = 0


F) no direction

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