A 7.0-cm -long wire is pulled along a U-shaped conducting rail in a perpendicula

Question

A 7.0-cm -long wire is pulled along a U-shaped conducting rail in a perpendicular magnetic field. The total resistance of the wire and rail is 0.33 . Pulling the wire with a force of 1.0 N causes 4.2 W of power to be dissipated in the circuit.

Part A

What is the speed of the wire when pulled with 1.0 N ?

4.2

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Correct

Part B

What is the strength of the magnetic field?

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A 7.0-cm -long wire is pulled along a U-shaped conducting rail in a perpendicular magnetic field. The total resistance of the wire and rail is 0.33 . Pulling the wire with a force of 1.0 N causes 4.2 W of power to be dissipated in the circuit.

Part A

What is the speed of the wire when pulled with 1.0 N ?

4.2

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Correct

Part B

What is the strength of the magnetic field?

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Explanation / Answer

As already solved in part A, the speed was found .

Part B

we know that
P = ²/R

= -/t
= -B(A/t)
= -BLv

P = (BLv)²/R
B = sqrt(PR) / (Lv)
B = sqrt[(4.2 W)(0.33)] / [(0.070 m)(4.2 m/s)]
B = 2.1712 T………Ans.

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