a 0.4m by 0.15m rectangular loop of wire of resistance, R, is being pulled into

Question

a 0.4m by 0.15m rectangular loop of wire of resistance, R, is being pulled into a region of uniform magnetic field B that is directec into the plane of the paper. An external force Fext = 0.3 N must be applied to the loop to maintain a costant speed of 8.0m/s. The current induced in the loop is 0.5 A. Ignore the weight of the loop

A. what is the magnitude of the magnetic field B? (the correct answer is 4 T, i just need to see the work of how it is done)

B. what is the magnitude of the emf induced in the loop? (the correct anser is 4.8 V, i just need to see the work of how it is done)

Explanation / Answer

part a )

F = BILsintheta

theta = 90 ; sin90 = 1

F = BIL

B = F/IL

F = 0.3 N ; I = 0.5 A ; L = 0.15 m

B = 0.3 / (0.5 * 0.15 ) = 4 T

part b )

induced emf = vBL

v = 8 m/s ; B = 4T ; L = 0.15 m

e = 8 * 4 * 0.15 = 4.8 V

part c )

resistance = induced emf / current

R = e / I

R = 4.8/0.5 = 9.6 ohm

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