Two parallel wires, separated by the distance of 2 cm, carry the currents I1 = 1 A and I2 = 2 A in the same direction. How far from the wire carrying the current I1 is the magnetic field zero?

I am wondering if the answer might be that it can never equal 0. Since the current is traveling in the same direction B2-B1=0 in between the wires.

1 answer

between wires
field is down from one of them and up from the other

The B from a wire times 2 pi * distance from the wire is proportional to the current through
so
1/2pir = 2/ 2pi(2 -r)

2 r = 2 - r

3 r = 2

r = .66666666667 cm

:)