   Chapter 19, Problem 55P

Chapter
Section
Textbook Problem

Two long, parallel wires separated by 2.50 cm carry currents in opposite directions. The current in one wire is 1.25 A, and the current in the other is 3.50 A. (a) Find the magnitude of the force per unit length that one wire exerts on the other. (b) Is the force attractive or repulsive?

a)

To determine
The magnitude of the force per unit length that one wire exert on the other.

Explanation

Given info: The separation between the two wires is 2.50cm . The wires carry current in opposite direction. Current in one wire is 1.25A and in the other is 3.50A .

Explanation:

If the system of the two wires has to be in equilibrium, the repulsive force per unit length on the top wire due to the bottom wire has to be equal to the weight per unit length of the top wire.

Fl=μ0I1I22πd

• Fl is the weight per unit length
• I1 is the current in the one wire
• I2 is the current in the second wire
• d is the distance between the wires
• μ0 is the permeability of free space

Substitute 4π×107TmA-1 for μ0 , 2.50cm for d , 1.25A for I1 , 3

b)

To determine
Whether the force between the wires is attractive or repulsive.

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