Question

A coil of reactance $100\Omega$ and resistance $100\Omega$ is connected to a 240 V, 50 Hz a.c. supply. Find the impedance of the circuit.

Answer 1

Reactance of coil, $X=100\Omega$

Resistance of circuit, $R=100\Omega$

So impedance of circuit $Z=\sqrt{R^2+X^2}$

$⟹Z=\sqrt{{100}^2+{100}^2}=100\sqrt{2}\Omega =141.4\Omega$