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The wires in a household lamp cord are typically 2.5 mm apart center to center a

ID: 1865849 • Letter: T

Question



The wires in a household lamp cord are typically 2.5 mm apart center to center and carry equal currents in opposite directions Part A If the cord carries current to a 100-W light bulb connected across a 120-V potential difference, what force per meter does each wire of the cord exert on the other? (Model the lamp cord as a very long straight wire.) Express your answer using two significant figures. F/L N/m Submit Request Answer Part B Is the force attractive or repulsive? attractive repulsive Submit Request Answer

Explanation / Answer

A) Current, I = 100/120 = 0.8333 A

Current will be in opposite directions in the two wires

Force per unit length, F = ?o ib ia /2?d

where ia is the current in one wire and ib in the other. In this case they are equal:

F = (1.2566 * 10^-6)(0.8333)2/(2?)(2.5 * 10^-3 m)

F = 5.55 x 10-5 N/m

B) It is repulsive (opposite directions)

C) No, it is negligible

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