Two very long, straight, parallel wires carry steady currents I and -I. 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 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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Solution

Dear Student ,
Since the current in the wires are flowing in the opposite direction ,the magnetic fields due to wires at a point equidistant from two wires will be equal and opposite .The net magnetic field at this point is zero .Resultantly hence the force on the charge is also zero .
Regards

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Q. Two very long, straight and parallel wires carry steady currents I and 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 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

Two very long straight parallel wires carry currents of same magnitude and in the same direction. 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 $\to v$ is perpendicular to this plane. The magnitude of the force due to magnetic field acting on the charge at this instant is

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Dear Student , Since the current in the wires are flowing in the opposite direction ,the magnetic fields due to wires at a point equidistant from two wires will be equal and opposite .The net magnetic field at this point is zero .Resultantly hence the force on the charge is also zero . Regards

Dear Student ,
Since the current in the wires are flowing in the opposite direction ,the magnetic fields due to wires at a point equidistant from two wires will be equal and opposite .The net magnetic field at this point is zero .Resultantly hence the force on the charge is also zero .
Regards