Derive an expression for electric energy consumed in a device in terms of V,I and t, where V is the potential difference applied to it, I is the current drawn by it and t is the time for which current flows ?

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1 Answers

We know that work done = W = QV

P =W/t
Now, P =QV/t
         V = IR 
         P =Q/t*IR =I2R
    Energy = P × t
               = I2R × t
              =V2/R2*R*t=V2/R *t

Energy = V2/R
Where V = voltage, R = resistance, t = time

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