A series RLC circuit consists of a resistor

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

Problem

R=40\,\Omega

, an inductor

L=150\,\text{mH}

and a capacitor

C=10\,\mu\text{F}

. It is connected to a

220\,\text{V}

(rms) alternating source whose frequency can be varied. (i) Calculate the rms current in the circuit when the supply frequency is

400\,\text{Hz}

. (ii) Determine the power factor of the circuit at

400\,\text{Hz}

and state whether the current leads or lags the voltage. (iii) Find the frequency (in Hz) at which the power factor becomes unity and compute the corresponding rms current.

Related theory

Power in AC Circuits
AC Circuit Analysis
Alternating current
Series LCR circuit
AC applied to a series LCR circuit

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