Two very long straight parallel wires carry currents i and 2i in opposite directions. The distance between the wires is r. 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 v 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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The magnetic field induction at P due to currents through both the wires,


It is acting perpendicular to plane of wire inwards. Now, B and v are acting in the same direction, i.e.
.
Force on charged particle is

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