Question:
A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.
Solution:
Inductance of inductor, L = 44 mH = 44 × 10−3 H
Supply voltage, V = 220 V
Frequency, ν = 50 Hz
Angular frequency, $\omega=2 \pi v$
Inductive reactance, $X_{\mathrm{L}}=\omega L=2 \pi v L=2 \pi \times 50 \times 44 \times 10^{-3} \Omega$
Rms value of current is given as:
$I=\frac{v}{X_{\mathrm{L}}}$
$=\frac{220}{2 \pi \times 50 \times 44 \times 10^{-3}}=15.92 \mathrm{~A}$
Hence, the rms value of current in the circuit is 15.92 A.