A laboratory wishes to design a series RLC circuit that is exactly resonant at a…

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A laboratory wishes to design a series RLC circuit that is exactly resonant at a frequency of

10\,\text{kHz}

. The available components are a resistor of

20\,\Omega

and an inductor of

2.5\,\text{mH}

. The supply provides

12\,\text{V}

rms at

10\,\text{kHz}

. (i) Calculate the value of the capacitor that must be connected in series to obtain resonance. (ii) When the circuit is resonant, determine the rms current drawn from the source. (iii) At resonance, find the rms voltage across the inductor.

Related theory

AC Circuit Analysis
Series LCR circuit
AC applied to a series LCR circuit
Alternating Current

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