A 20-cm-long, zero-resistance slide wire moves outward, onzero-resistance rails,

Question

A 20-cm-long, zero-resistance slide wire moves outward, onzero-resistance rails, at a steady speed of 10 m/s in a 0.11 Tmagnetic field. On the opposite side, a 0.8 carbon resistorcompletes the circuit by connecting the two rails. The mass of theresistor is 50 mg. (a) What is the induced current in the circuit? Answer =________________ A (b) How much force is needed to pull the wire at thisspeed? Answer = _______________ N (c) If the wire is pulled for 10 s, what is the temperatureincrease of the carbon? The specific heat of carbon is 710 J/kg· C°. Answer = ___________________ °C

Explanation / Answer

(a) What is the induced current in the circuit?
I = BLv/R = 0.275 A

(b) How much force is needed to pull the wire at thisspeed?
F = IBL = 0.00605 N

(c) If the wire is pulled for 10 s, what is the temperatureincrease of the carbon
Power = I2R = mc*T
T = 0.0017 C°

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