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Q.

Two very long straight parallel wires carry steady currents i and 2i in opposite directions. The distance between the wires is d. At a certain instant of time, a point charge q is at a point equidistant from the two wires in the plane of the wires. Its instantaneous velocity is perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is

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a

μ0iqv2πd

b

μ0iqvπd

c

3μ0iqv2πd

d

zero

answer is D.

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Detailed Solution

Magnetic field PP is perpendicular to paper inwards due to both the wires. Charged particle is also projected in the same direction. So force on charged particle is zerov→∣∣B→ so Fm=0
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Two very long straight parallel wires carry steady currents i and 2i in opposite directions. The distance between the wires is d. At a certain instant of time, a point charge q is at a point equidistant from the two wires in the plane of the wires. Its instantaneous velocity is perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is