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Two parallel wires carrying equal currents in opposite direaction are palced at `x = pm ` a parallel to y-axis with z= 0. Magnetic field at origin O is equal `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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