Two long, straight parallel wires 8.2 cm apart carry currents of equal magnitude I. The parallel wires repel each other with a force per unit length of 3.2 nN/m. The permeability of free space is 4 π * 10-7 T · m/A. Find I. Answer in units of mA.

Question

Justice Meza

Physics

15 December, 07:58

Two long, straight parallel wires 8.2 cm apart carry currents of equal magnitude I. The parallel wires repel each other with a force per unit length of 3.2 nN/m. The permeability of free space is 4 π * 10-7 T · m/A. Find I. Answer in units of mA.

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Answers (1)

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Jocelyn Arnold · Answer 1

36.22 mA

Explanation:

i1 = I, i2 = I, d = 8.2 cm = 0.082 m

Force per unit length = 3.2 nN/m = 3.2 x 10^-9 N/m

μo = 4 π * 10^-7 Tm/A

The formula for the force per unit length between the two wires is given by

F = μo / 4π x (2 i1 x i2) / d

3.2 x 10^-9 = 10^-7 x 2 x I^2 / 0.082

I = 0.0362 A = 36.22 mA