A coil and a capacitor are connected separately to the same (rms) AC source

PHYSICS · Single correct · CBSE · Physics · Alternating Current · Alternating Current

Problem

A 100 mH100\,\text{mH} coil and a 10 μF10\,\mu\text{F} capacitor are connected separately to the same 220 V220\,\text{V} (rms) AC source. The coil draws 7.0 A7.0\,\text{A} at 50 Hz50\,\text{Hz}. At approximately what frequency should the capacitor be operated so that it draws the same rms current as the coil? (a) 160 Hz160\,\text{Hz} (b) 3.2×103 Hz3.2\times10^{3}\,\text{Hz} (c) 510 Hz510\,\text{Hz} (d) 720 Hz720\,\text{Hz}

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