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Two infinitely long parallel wires carry...

Two infinitely long parallel wires carry currents of magnitude`I_(1)` and `I_(2)` and are at a distance 4 cm apart. The magnitude of the net magnetic field is found to reach a non-zero minimum values between the two wires and 1 cm away from the first wire. The ratio of the two currents and their mutual direction is

A

`(I_(2))/(I_(1))` = 9 , anti-parallel

B

`(I_(2))/(I_(1))= 9` , parallel

C

`(I_(2))/(I_(1)) = 3` , anti-parallel

D

`(I_(2))/(I_(1)) = 3` , parallel

Text Solution

Verified by Experts

The correct Answer is:
A
`B = (mu_(0) I_(1))/(2pi x) + (mu_(0) I_(2))/(2pi (4 - x)) implies (dB)/(dx) = 0 implies (I_(1))/(x^(2)) = (I_(2))/((4 - x)^(2))`
So , `x = 1 implies (I_(2))/(I_(1)) = 9`
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