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What should be the nature of the graph o...

What should be the nature of the graph of the impedance Z with respect to frequency in an alternating LCR circuit?

Text Solution

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IF f be the frequency, `omega=2pif`
Impedance, `Z=sqrt(R^2+(omegaL-1/(omegaC))^2)`

If frequency, `f_0=1/(2pisqrt(LC))`
then, `omega_0=2pif_0=1/sqrt(LC)`or,`omega_0L=1/(omega_0C)`
Under the condition Z is minimum i.e., Z=R
If the frequency increases or decreases with respect to this resonant frequency `f_0,Z` will vary accordingly, as shown in Fig.233.
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