AC Circuits

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Question

A series LCR circuit is designed to resonate at an angular frequency $ω_{0} = 10^{5} r a d / s$ . The circuit draws 16 W power from 120 V source at resonance. The value of resistance ‘R’ in the circuit is …… $Ω$ .

Moderate

Solution

$A t r e s o n a n c e, p o w e r i s c o n s u m e d o n l y b y r e s i s t o r . P = \frac{V^{2}}{R} \Rightarrow R = \frac{120^{2}}{16} = 900 Ω$

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