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Show that the work done by a magnetic field on a moving charge particle is always zero.?
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The magnetic force acts in such a way that the direction of the magnetic force and velocity are always perpendicular to each other. If force and velocity are perpendicular force and displacement are also perpendicular, thus W= FS cos q, if q = 90, work done will be zero.
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Now a force perpendicular to velocity can change the direction of velocity but can not change the magnitude of velocity. ... Since the force F due to the magnetic field is perpendicular to v the force will alter the path of the particle, but the work done by this force on the particle will be zero.
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