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Find the magnetic field at P due to the ...

Find the magnetic field at P due to the arrangement shown.:

A

`(mu_(0)i)/(sqrt(2)pid)(1-1/(sqrt(2)))ox`

B

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

C

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

D

`(mu_(0)i)/(sqrt(2)pid)(1+1/(sqrt(2)))ox`

Text Solution

Verified by Experts

The correct Answer is:
A
Field due to wire 1 `B_(1)=(mu_(0)i)/(4pi d/(sqrt(2)))[sin 90 -sin 45]`
Field due to wire 2 `B_(2)=(mu_(0)i)/(4 pi d/(sqrt(2)))[sin 90-sin 45]`
Field due to both wire into the plane.
`B_("Net")=2xxsqrt(2)(mu_(0)i)/(4pid)[1-1/(sqrt(2))]=[(mu_(0)i)/(sqrt(2)pid)]1-1/(sqrt(2))ox`
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