Question

In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 μF 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.

Answer 1

$Z=\sqrt{R^2+(X_L-X_C)^2}$

$=\sqrt{10^2+[10\pi-\frac{100}{\pi}]^2} Ω$

≃10 Ω

⇒ Current

$=\frac{220}{10}A=22\,A$