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

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Angular frequency, ω = 2 π f = 100 π rad s - 1 Here, inductive reactance X L = ω L = 100 π 100 × 10 - 3 = 10 π Ω And capacitive reactance X C = 1 ω C = 1 100 π × 100 × 10 - 6 = 100 π Ω = 10 π Ω Now, impedance of the series circuit is Z = R 2 + X L - X C 2 = R = 10 Ω Therefore, I RMS = V RMS Z , = 220 10 = 22 A

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