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Obtain the condition at resonance draw a plot showing the variation of current with the frequency of a.c. source for two resistances and R_(1)and R_(2)(R_(1) gt R_(2)). Hence define the quality factor Q and write its role in the tuning of the circuit. |
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Answer» Solution :At resonance, `I_(m)` is maximum `rArr X_(L) = X_(C.)` [ALTERNATIVELY : `omega_(0) = (1)/(sqrt(LC))`]  Quality FACTOR of LCR circuit is defined as `(omega_(0))/(2 Delta omega)` `= (omega_(0)L)/(R )` A largr value of quality factor CORRESPONDS to a sharper resonance. |
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