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The options for direction are: towards wire 1/ towards wire 2 Two long, parallel

ID: 1555123 • Letter: T

Question

The options for direction are: towards wire 1/ towards wire 2

Two long, parallel conductors separated by 12.0 cm carry currents in the same direction. The first wire carries a current I_1 = 7.00 A, and the second carries I_2 = 8.00 A. (Assume the conductors lie in the plane of the page.) (a) What is the magnitude of the magnetic field created by I_1 at the location of I_2? (b) What is the force per unit length exerted by I_1 on I_2? (c) What is the magnitude of the magnetic field created by I_2 at the location of I_1? d) What is the force per length exerted by 1_2 on I_1?

Explanation / Answer

a)

B = u i1/2pi d

B = 1.167 x 10^-5 T

b)

b)

F/L = B i2

F/L = 9.33 x 10^-5 N/m ( towards wire 1)

c)

B = ui2/2pid

B = 1.33 x 10^-5 T

d)

F/L = B i1

F/L = 9.33 x 10^-5 N/m ( towards wire 2)