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 .

Step-by-step solution

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