1) Three long straight wires are all in the xy-plane and directed parallel to th

Question

1) Three long straight wires are all in the xy-plane and directed parallel to the y-axis. The first wire is at x =-2 m and has a current of 0.3 A flowing through it in the negatve y-direction. The second wire is at x-4m and there is a current flowing through it. The third wire is at x = 1.5 m and has a current of 1.2 A flowing through it in the negative y-direction. There are no other sources of magnetic field and the magnetic force of the third wire is zero. What is the current flowing through the second wire? A) 0.24 A B) 0.18 A C) 0.21 A D) 0.24 A E) 0.42 A

Explanation / Answer

let

I1 = 0.3 A

I3 = 1.2 A

d13 = 3.5 m

D23 = 2.5 m

I2 = ?

Apply, F13 = F23

mue*I1*I3*L/(2*pi*d13) = mue*I2*I3*L/(2*pi*d23)

I1/d13 = I2/d23

I2 = I1*(d23/d13)

= 0.3*(2.5/3.5)

= 0.214 A

so, Option C is the correct answer.

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