Answer to Question #110048 in Electric Circuits for Jonah Godwin

Question

A 44mH inductor is connected to 220v, 50Hz ac supply. Determine the rms value of the current in the circuit

Answer 1

The inductive reactance

$$X_L=2\pi f L=2\pi \times 50\times 44\times 10^{-3}=13.8\:\rm \Omega$$

The rms value of the current

$$I_{rms}=\frac{V_{rms}}{X_L}=\frac{220}{13.8}=15.9\:\rm A.$$