Three series LCR circuits P, Q and R have the following parameter sets: P: Q: R:

PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current

Problem

Three series LCR circuits P, Q and R have the following parameter sets: P: L=0.40 H,  C=40 μF,  R=25 ΩL=0.40\,\text{H},\;C=40\,\mu\text{F},\;R=25\,\Omega Q: L=0.40 H,  C=40 μF,  R=15 ΩL=0.40\,\text{H},\;C=40\,\mu\text{F},\;R=15\,\Omega R: L=0.20 H,  C=80 μF,  R=15 ΩL=0.20\,\text{H},\;C=80\,\mu\text{F},\;R=15\,\Omega (i) Without performing any detailed numerical calculation, arrange the three circuits in the increasing order of their quality factor. (ii) Hence arrange them in the increasing order of the bandwidth of the current–frequency curve. (iii) Give clear qualitative reasons in each step of your ordering, referring only to the given parameter values.

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