Two circuits contain an emf produced by a moving metal rod, like that shown in t

Question

Two circuits contain an emf produced by a moving metal rod, like that shown in the drawing. The speed of the rod is the same in each circuit, but the bulb in circuit 1 has one-half the resistance of the bulb in circuit 2. The circuits are otherwise identical. The resistance of the light bulb in circuit 1 is 44 , and that in circuit 2 is 88 . Determine (a) the ratio 1/2 of the emfs and (b) the ratio I1/I2 of the currents in the circuits. (c) If the speed of the rod in circuit 1 were twice that in circuit 2, what would be the ratio P1/P2 of the powers in the circuits?

Explanation / Answer

. Determine
(a) the ratio 1/2 of the emfs
k1 = 1/2 = 1.00 ,The circuits are identical.
(b) the ratio I1/I2 of the currents in the circuits
k2 = (1/44)/(1/88) = 88/44 = 2.00
(c) If the speed of the rod in circuit 1 were twice that in circuit 2, what would be the ratio P1/P2 of the powers in the circuits?
speed V
k3 = ((2)^2/R)/(^2/2R) = 4*2 = 8.00

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