In the series LCR circuit, the impedance is: | vedclass

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(B) Given: Inductance $L = 1 	ext{ H}$, Capacitance $C = 20 \mu 	ext{F} = 20 	imes 10^{-6} 	ext{ F}$, Resistance $R = 300 \Omega$, Frequency $f =

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$500$

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(B) Given: Inductance $L = 1 	ext{ H}$, Capacitance $C = 20 \mu 	ext{F} = 20 	imes 10^{-6} 	ext{ F}$, Resistance $R = 300 \Omega$, Frequency $f = \frac{50}{\pi} 	ext{ Hz}$.Angular frequency $\omega = 2\pi f = 2\pi 	imes \frac{50}{\pi} = 100 	ext{ rad/s}$.Inductive reactance $X_L = \omega L = 100 	imes 1 = 100 \Omega$.Capacitive reactance $X_C = \frac{1}{\omega C} = \frac{1}{100 	imes 20 	imes 10^{-6}} = \frac{10^6}{2000} = 500 \Omega$.Impedance $Z = \sqrt{R^2 + (X_C - X_L)^2}$.$Z = \sqrt{300^2 + (500 - 100)^2} = \sqrt{300^2 + 400^2} = \sqrt{90000 + 160000} = \sqrt{250000} = 500 \Omega$.

In the series $LCR$ circuit, the impedance is: (in $\Omega$)

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