A student investigates the behaviour of a series RLC circuit having ,

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

Problem

A student investigates the behaviour of a series RLC circuit having

R=20\,\Omega

L=200\,\text{mH}

, and

C=5.0\,\mu\text{F}

. Measurements are to be made at two supply frequencies:

f_{1}=50\,\text{Hz}

and

f_{2}=1000\,\text{Hz}

. (a) Calculate the inductive reactance and the capacitive reactance at

f_{1}=50\,\text{Hz}

. (b) Repeat the calculations for

f_{2}=1000\,\text{Hz}

. (c) Using your results, determine the impedance of the circuit at each frequency. (d) On the basis of your numerical answers, state which of the two frequencies is closer to the resonance frequency of the circuit, and justify your choice.

Related theory

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

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