Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

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

ID: 1436344 • Letter: 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 52 ?, and that in circuit 2 is 104 ?. 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?

(a) ?1/?2 = (b) I1/I2 = (c) P1/P2 = Conducting rail

Explanation / Answer

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 52, and that in circuit 2 is104 .

Determine

(a) the ratio 1/2 of the emfs

k1 = 1/2 = 1.00

(b)

the ratio I1/I2 of the currents in the circuits

k2 = (1/52)/(1/104) = 104/52 = 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

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote