Please help! What is the magnitude of the magnetic field halfway between thewire

Question

Please help!

What is the magnitude of the magnetic field halfway between thewires if the two wires are separated by a distance of 22 cm andcarry currents in the same direction? The current in one wireis 3 A and the current in the other wire is 9 A.

          B =________________________

Explanation / Answer

Given that     Ia = 3A     Ib = 9A     d = 22cm = => d/2 = 11 cm = 0.11m We know that         B1 = o Ia / 2(d/2)            = 4 x 10-7 * 3 / 2 * 0.11            = 5.454 x 10-6 T       B2 = o Ib / 2(d/2)            = 4 x 10-7 * 9 / 2 * 0.11            = 16.36 x 10-6 T Therefore B = B2 - B1 = 10.90 x 10-6 T =10.90T

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