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Two very long, straight , parallel wires...

Two very long, straight , parallel wires carry steady currents ` I &-I` respectively . The distance between the wires is `d`. At a certain instant of time, a point charge `q` is at a point equidistant from the wires , in the plane of the wires. Its instantaneous vel,ocity ` v` is perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is

A

`(mu_(0)Iqv)/(2 pid)`

B

`(mu_(0)Iqv)/(pid)`

C

`( 2mu_(0)Iqv)/( pid)`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
D

Net magnetic field due to the wires will be downward as shown below in the figure . Since angle between ` vec(v) and vec(B)` is ` 180@`,
Therefore , magnetic force ` vec(F)_(m) = q( vec(v) xx vec(B)) = 0 `

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