A 22-cm-long, zero-resistance wire is pulled outward, on zero-resistance rails,

Question

A 22-cm-long, zero-resistance wire is pulled outward, on zero-resistance rails, at a steady speed of 1.0m/s in a 0.10T magnetic field (See the figure). On the opposite side, a 1.0? carbon resistor completes the circuit by connecting the two rails. The mass of the resistor is 53mg .(Figure 1)

What is the induced current in the circuit?

How much force is needed to pull the wire at this speed?

How much does the temperature of the carbon increase if the wire is pulled for 10 s? The specific heat of carbon is 710J/kg??C. (In C please)

Explanation / Answer

Part A)
Apply EMF = Blv and also EMF = IR

IR = Blv

(I)(1) = (.10)(.22)(1)

I = .022 Amps

Part B)

F = BIL

F = (.1)(.022)(.22)

F = 4.84 X 10-4 N

Part C)

P = I2R

P = .0222(1) = 4.84 X 10-4 W

P = Energy/time

4.84 X 10-4 = E/10

E = 4.84 X 10-3 J

Then apply Q = mc(delta T)

4.84 X 10-3 = (5.3 X 10-5)(710)(delta T)

delta T = .129 C

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