A standard filament lamp consumes 100 W when connected to a 200 V AC mains supply. The peak current through th

Question

A standard filament lamp consumes 100 W when connected to a 200 V AC mains supply. The peak current through the bulb will be:

Accepted Answer

To find the peak current, we first calculate the RMS current ($I$). According to the sources, the power consumed by a resistive element like a filament lamp is $P = V I$, where $V$ and $I$ are RMS values . Thus, $I = P / V = 100 	ext{ W} / 200 	ext{ V} = 0.5$ A. The relationship between the peak current ($i_m$) and the RMS current ($I$) is $i_m = I\sqrt{2}$ . Substituting the values, $i_m = 0.5 	imes 1.414 = 0.707$ A.

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