The current through a resistor connected across a constant supply varies with time…

MATHEMATICS · Subjective · ISC · Mathematics · Physics · Calculus

Problem

The current through a resistor connected across a constant 10 V10\,\text{V} supply varies with time according to I(t)=2+0.5tI(t) = 2 + 0.5t, where II is in amperes and tt is in hours. Find the electrical energy dissipated in the resistor during the first 4 h4\,\text{h}, expressing your answer in kWh.

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