Two long, parallel conductors, separated by 13.0 cm, carry currents in the same

Question

Two long, parallel conductors, separated by 13.0 cm, carry currents in the same direction. The first wire carries current I1 = 7.00 A, and the second carries I2 = 8.00 A (See figure below. Assume the conductors lie in the plane of the page.)

(a) What is the magnitude of the magnetic field created by I1 at the location of I2? T

(b) What is the force per unit length exerted on I2 by I1? N/m

(c) What is the magnitude of the magnetic field created by I2 at the location of I1? T

(d) What is the force per length exerted by I2 on I1? N/m

Explanation / Answer

a. B1 due to I1 at I2 = 2kI/a = 2*10^-7*7/0.13 = 107.69*10^-7 T
b. F1 per unit length due to I1 at I2 = BI = 107.69*10^-7 * 8 = 861.5 * 10^-7 N/m
c. B2 due to I2 at I1 = 2kI/a = 2*10^-7*8/0.13 = 123.07*10^-7 T
b. F2 per unit length due to I2 at I1 = BI = 123.07*10^-7 * 7 = 861.5 * 10^-7 N/m

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