A current that varies with time according to (in ampere

PHYSICS · Subjective · CBSE · Physics · Current Electricity · Current Electricity

Problem

A current that varies with time according to I(t)=2.0+0.50tI(t)=2.0+0.50t (in ampere, with tt in second) flows through a fixed 4 Ω4\,\Omega resistor for 5 s5\,\text{s}. (a) Derive an expression for the instantaneous power dissipated in the resistor as a function of time. (b) Hence calculate the total electrical energy converted into heat in the resistor during the 5 s5\,\text{s} interval. (c) Compare this energy with that which would have been produced if the current had remained steady at its initial value of 2.0 A2.0\,\text{A} for the same duration, and comment briefly on the difference.

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