Question

Suppose that the light bulb in the figure is a 63.0-W bulb with a resistance of...

Suppose that the light bulb in the figure is a 63.0-W bulb with a resistance of 232 Ω. The magnetic field has a magnitude of 0.36 T, and the length of the rod is 0.57 m. The only resistance in the circuit is that due to the bulb. What is the shortest distance along the rails that the rod would have to slide for the bulb to remain lit for one-half second?

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Answer #1

Power, P = V^2/R

63 = V^2/232

Voltage, V = 120.90 V

Emf, E = BLv

120.9 = 0.36 x 0.57 v

Velocity, v = 589.16 m/s

Distance, d = 589.16 x 0.5 = 294.58 m

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