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Question

A resistance 'R' draws power 'P' when connected to an AC source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes 'Z', the power drawn will be


A
P(RZ)
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B
P
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C
P(RZ)2
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D
PRZ
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Solution

The correct option is B $$P\left (\frac {R}{Z}\right )^2$$
Power $$P = i_{rms} ^2 R=( \frac{V_{rms}}{R})^2R$$
Power  when inductor is put in series with R: $$P' = ( \frac{V_{rms}}{Z})^2R$$
$$ \frac{P'}{P} =\frac{ \frac{R}{Z^2}}{\frac{R}{R^2}}=(\frac{R}{Z})^2$$
$$ P' = P (\frac{R}{Z})^2$$

Physics

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