A series LCR circuit is connected to a sinusoidal ac source

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A series LCR circuit is connected to a sinusoidal ac source. (i) Define electrical resonance for such a circuit. (ii) Explain qualitatively how the circuit’s impedance varies with angular frequency and hence state the condition under which the current amplitude becomes maximum. (iii) Draw a neat, labelled sketch showing the variation of current amplitude with angular frequency. Mark on the graph the resonant angular frequency, the half-power points and the bandwidth. (iv) What is meant by the quality factor of a series resonant circuit? Explain how it is related to the sharpness of the resonance curve.

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