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Three infinitely long thin wires, each c...

Three infinitely long thin wires, each carrying current i in the same dieretion, are the xy plane of a gravity free space. The central wire is along the y-axis while the other two are along `x=+-d`
i find the locus of the points for which the magnetic field `B` is zero.
ii If the central wire is displaced along the `z`-direction by a small amount and released, show that it will execute simple harmonic motion. If the linear mass density of the wires is `lamda`, find the frequency of oscillation.

A

`(i)/(2pid)sqrt((mu_(0))/(pilambda))`

B

`(i)/(2pid)sqrt((pi lambda)/(mu_(0)))`

C

`(2mud)/(i)sqrt((pilambda)/(mu_(0)))`

D

Not an oscillation

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The correct Answer is:
A
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