Answer to Question #324158 in Electricity and Magnetism for Justin

Question

Two parallel wires are separated by a distance of 0.05 m. Wire 1 carries a

carries current of 12.0 A. Wire 2 carries a current of 6.0 A flowing in the

opposite direction as shown in the illustration.

Find the

(a) magnitude and

direction of the magnetic field created by wire 1 at wire 2,

(b) force exerted

by wire 1 on the 2.0 m long section of wire 2, and

(c) force exerted by wire 2

on wire 1.

Answer 1

a)

$B_1=\frac{\mu_0I_1}{2\pi d}=48~\mu T,$

b)

$F_{12}=\frac{\mu_0I_1I_2 l}{2\pi d}=0.58~mA,$

c)

$F_{21}=\frac{\mu_0I_2I_1 l}{2\pi d}=0.58~mA.$