A 44 mH inductor is connected to 220 V, 50 Hz ac supply.

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, = 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.

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Karri Saranealis
Feb. 24, 2023, 7:28 p.m.
Dear esaral.com administrator, Your posts are always insightful and valuable.
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