Initially, an electric heating element was consuming 300 W power working on a 110 V line. If the voltage of the line is changed to 220 V, then calculate the new power that will be consumed.

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1120 W

1200 W

1160 W

1080 W

answer is D.

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Detailed Solution

Power consumed

$\begin{array}{l} P = \frac{V^{2}}{R} and P^{'} = \frac{V_{1}^{2}}{R} \\ ∴ \frac{P^{'}}{P} = {[\frac{V_{1}}{V}]}^{2} \\ ∴ P^{'} = {[\frac{V_{1}}{V}]}^{2} \times P \\ = {(\frac{220}{110})}^{2} \times 300 \\ = 4 \times 300 = 1200 W \end{array}$

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