Answer to Question #272026 in Electrical Engineering for Salia

Question

An RL circuit is connected to a 230 V, 50 Hz supply with a rating of 500 VA. If the resistor is 20 Ω, calculate the value of the inductive reactance

Answer 1

The impedance:

$$Z^2={X^2+R^2},\\\space\\ X^2=Z^2-R^2.$$

By Ohm's law:

$$Z=V^2/P,\\\space\\ X=\sqrt{(V^2/P)^2-R^2}=104\Omega.$$