equation for energy gained by charge or potential or potential difference in external field
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P=ev ..................
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when a charge is placed in an external electric field it will experience a force , F = qE , now by work energy theorem , the work done by this force on the charge particle will appear as the kinetic energy of the charge particle.. the same argument can be made if we take the equation. V = W/Q... even here the work done will appear as the kinetic energy of the charge particle in accordance with work energy theorem..
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