Two very long straight wires carry currents perpendicular to the page. Wire 1, which carries a current I1 into the page, passes through the x-axis at x=+a. Wire 2, located at x=-2a, carries an unknown current.
The net field at the origin (x=0), due to the current-carrying wires has a magnitude of B= (2*uo*I1)/(2*pi*a)
a) What is the magnitude and direction of the current in wire 2? Find all possible solutions.
b) For your solution to part (a) for which I2 has the largest magnitude, determine the location of all points on the x-axis, a finite distance from the wires, at which the net magnetic field is zero.
The Attempt at a Solution
I'm really not sure how to go about doing this problem. I started by doing (uo*I)/(2*pi*a) + B = (2*uo*I1)/(2*pi*a) but then I really don't know where I"m going with it. Please help me work through this. Thanks!