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 In a series LCR circuit, the plot of I_{max} v s \: \omega is shown in Fig 7.3. Find the bandwidth and mark in the figure.

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Explanation:-

The bandwidth of the series LCR circuit is defined as the difference between the frequencies at which the impedance (or voltage) drops to its maximum value (the peak value at resonance

I=\frac{E_0}{\sqrt{2}}= \frac{1}{\sqrt{2}}= 0.707\: Amp
From the graph we get

\omega _1=0.8\frac{rad}{s}\: and\:\omega _2=1.2\frac{rad}{s}
Bandwidth =1.2-0.8=0.4\: rad/sec

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