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  • How does the sign of the phase angle \theta, by which the supply voltage leads the current in an LCR series circuit, change as the supply frequency is gradually increased from very low to very high values.

How does the sign of the phase angle \theta, by which the supply voltage leads the current in an LCR series circuit, change as the supply frequency is gradually increased from very low to very high values.

Answers (1)

Phase angle \theta by which Voltage leads current is given by,

\tan \theta= \frac{X_L-X_C}{R}=\frac{\omega L-\frac{1}{\omega C}}{R}
For low frequencies, X_L<X_C\Rightarrow \tan\theta <0
For resonance

X_L<X_C\Rightarrow \tan\theta =0\left (\nu =\nu _0=\frac{1}{2\pi\sqrt{2C}} \right )

 

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infoexpert21

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