In a series LCR circuit,the inductance,capaci | vedclass

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(D) Given: $L = 100 \, mH = 0.1 \, H$,$C = 100 \, \mu F = 10^{-4} \, F$,$R = 10 \, \Omega$,$V = 220 \, V$,$f = 50 \, Hz$.Angular frequency $\omega = 2

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$22$

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(D) Given: $L = 100 \, mH = 0.1 \, H$,$C = 100 \, \mu F = 10^{-4} \, F$,$R = 10 \, \Omega$,$V = 220 \, V$,$f = 50 \, Hz$.Angular frequency $\omega = 2 \pi f = 2 \pi 	imes 50 = 100 \pi \, rad/s$.Inductive reactance $X_L = \omega L = 100 \pi 	imes 0.1 = 10 \pi \approx 31.4 \, \Omega$.Capacitive reactance $X_C = \frac{1}{\omega C} = \frac{1}{100 \pi 	imes 10^{-4}} = \frac{100}{\pi} \approx 31.8 \, \Omega$.Impedance $Z = \sqrt{R^2 + (X_L - X_C)^2} = \sqrt{10^2 + (31.4 - 31.8)^2} = \sqrt{100 + (-0.4)^2} = \sqrt{100 + 0.16} \approx \sqrt{100} = 10 \, \Omega$.Current $I = \frac{V}{Z} = \frac{220}{10} = 22 \, A$.

In a series $LCR$ circuit,the inductance,capacitance,and resistance are $L = 100 \, mH$,$C = 100 \, \mu F$,and $R = 10 \, \Omega$ respectively. They are connected to an $AC$ source of voltage $220 \, V$ and frequency $50 \, Hz$. The approximate value of current in the circuit will be.....$A$.

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