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Two very long straight parallel wires, p...

Two very long straight parallel wires, parallel to y-axis, carry currents 41 and I, along+y direction and-y direaction respectively. The wires are passes through the x-axis at the points `(d, 0,0)` and `(d, 0,0)` respectively. The graph of magnetic field z-component as one moves along the x-axis from `x = - d` to `x = +d`, is best given by

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C
`B=[(mu_(0))/(4pi)(2I)/(x) + (mu_(0))/(4pi)(2(4I))/(4pi (2d -x)]]o.`
`=(mu_(0))/(4pi) 2I[(1)/(x) + (4)/((2d -x))]`
For `B` to be minimum `(dB)/(dx) = 0 implies x = (2d)/(3)`
.
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