Question

A conducting bar (negligible resistance) moves along frictionless conducting rails (negligible resistance) connected to a 4.00-12 resistor as shown in the figure. The length of the bar is 1.60 m and a uniform magnetic field of 3.20 T is applied perpendicular to the paper pointing outward, as shown. The bar moves to the right with a constant speed of 6.00 m/s.

Use 3 Sig Figs in this Problem

Part A - What is the EMF induced across the ends of the bar?

Part B

What is the current flowing in the loop?

Part C

What is the applied force required to move the bar to the right with a constant speed of
6.00 m/s?

Part D

At what rate is energy dissipated in the 4.00 Ω resistor?

Answer 1

a)

e = BLv = 3.2* 1.6* 6 = 30.72 V

b)

i = e/R = 7.68 A

c)

F = BiL = 3.2* 7.68* 1.6 = 39.32 N

d)

P = Fv = 39.32* 6 = 235.93 W

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