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the formulas for calculating electrical energy is

E (dissipated in a resistor R)=(I^2)*R*t=VI=(V^2)/R

where V is voltage across resistor ,I is current,t is time.

or if there is a function of time the equation becomes

E= integral from 0 to t (i(t)^2*R) dt

it is the integral of the power dissipated for the time in question.

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Power dissipation in a conductor is given by the formula ( P = I^2 R ), where ( P ) is power, ( I ) is the electric current, and ( R ) is the resistance. If the electric current is doubled, the new current becomes ( 2I ). Substituting this into the power formula results in ( P' = (2I)^2 R = 4I^2 R ), which shows that the power dissipation increases by a factor of four. Therefore, doubling the current through a constant resistance results in a fourfold increase in power dissipation.


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