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Two parallel wire carrying equal current...

Two parallel wire carrying equal currents in opposite directions are placed at `x=+-a` parralel to y-axis with `z=0`. Magnetic field at origin O is `B_1` and at `P(2a,0,0) is B_2`. Then, the ratio `B_1//B_2` is

A

`3`

B

`1//2`

C

`1//3`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) As shown in Fig.
`vecB_1=-2((mu_0)/(2pi) i/a)hatk=-(mu_0i)/(pia)hatk`=magnetic field at O
`vecB_2=(mu_0)/(2pi) i/ahatk-(mu_0)/(2pi) i/(3a) hatk=(mu_0)/(3pi) i/a hatk`
=magnetic field at P

`:. B_1//B_2=3`
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