Magnetic Field Produced by Straight Currents Video Lessons

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Problem: A 9.0-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 Ohms. Pulling the wire with a force of 1.2 N causes 3.9 W of power to be dissipated in the circuit. What is the speed of the wire when pulled with 1.2 N?

FREE Expert Solution

Power in circuits:

P=Vi=i2R=V2R

Also,

P=Fv

Force:

F=iLB

Given that 3.9 W of power is to be dissipated, we'll consider the equation:

P = V2/R

V = sqrt(PR) = sqrt[(3.9)(0.33)] = 1.134V

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Problem Details

A 9.0-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 Ohms. Pulling the wire with a force of 1.2 N causes 3.9 W of power to be dissipated in the circuit. What is the speed of the wire when pulled with 1.2 N?

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