Two long, parallel conductors separated by 11.5 cm carry currents in the same di

Question

Two long, parallel conductors separated by 11.5 cm carry currents in the same direction. The first wire carries a current I1 = 2.50 A, and the second carries I2 = 8.00 A. (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 by I1 on I2?

(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?

Explanation / Answer

a) magnetic field at d = (uo/ 2pi) *( I / d)

= (4pi x 10^-7 / 2pi ) ( 2.50 / 0.115) = 4.35 x 10^-6 T

b) force per unit length = (u0 / 2pi )(I1*I2 / d)   or I2 * B

= 8 x 4.35 x 10^-6 = 3.48 x 10^-5 N

c) magnetic field at distance d = (uo/ 2pi) *( I / d)

= (4pi x 10^-7 / 2pi ) ( 8 / 0.115) = 13.92 x 10^-6 T

d) force per unit length = (u0 / 2pi )(I1*I2 / d)   or I1 * B

= 2.50 x 13.92x 10^-6 = 3.48 x 10^-5 N

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