A loop with a resistance of 2.0 ? is pushed to the left at a constant speed of 4

Question

A loop with a resistance of 2.0 ? is pushed to the left at a constant speed of 4.0 m/s by an external force. At the instant shown in the figure, the loop is partially in and partially out of a uniform magnetic field B = 4.0 T which is perpendicular to the loop. An induced current flows from left to right through the resistor. The length and width of the loop are 2.0 m and 1.0 m, respectively.

Determine the magnitude of the induced current through the resistor.

A) 2.0A B) 4.0A C) 8.0A D) 16A E) 32A

Explanation / Answer

Given Data

Resistance R = 2.0

speed v = 4.0 m/s

uniform magnetic field B = 4.0 T

length L = 2.0 m and width = 1.0 m

Induced current through the resistor is

           i = BLv / R

           i = 4*2*4 / 2

           i = 16 A (option D)

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