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Three very long straight thin wires are ...

Three very long straight thin wires are connected parallel to each other through a battary of negligible internal resistance. The resistance of the wired are `2Omega,3 Omega` and `4 Omega`. The ratio of distance of middle wire from the first and thrid wires if resusltant magnetic force on the middle wire is zero is `:`

A

`2:1`

B

`3:4`

C

`2:3`

D

`3:5`

Text Solution

Verified by Experts

The correct Answer is:
A
As the wires are parallel
`I_1 : I_2 : I_3 = 1/2 : 1/3 : 1/4 = 6:4:3`
Force between first second and third wires are equal
`F/l = (mu_0 I_1 I_2)/(2pi r)`
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