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. The induced current is .275A. The force neededto pull the wire at the speed listed is .00605 N. (a)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 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 ohm carbon resistorcompletes the circuit by connecting the two rails. The mass of theresistor is 50 mg. The induced current is .275A. The force neededto pull the wire at the speed listed is .00605 N. (a)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^degree. Answer= ^degreeC

Explanation / Answer

W = F x = .00605 * 100 = .605 J    the workdone against the magnetic field Or E = / t = B L x / t = B Lv Power P = E I = B L v I W = Power * time = B L v I t = .11 * .2 * 10 * .275 * 10 =.605 J Q = c m T where c is the specific heat ofcarbon and is given here in terms of Joules not calories T = .605 / (710 * .05) = .017 deg C

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