A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.
Solution and Explanation
Inductance of inductor, L = 44 mH = 44 × 10−3 H
Supply voltage, V=220 V
Frequency, ν=50 Hz
Angular frequency, ω=2πν
Inductive reactance, XL = ωL = 2πνL = 2π×50 × 44 × 10-3 Ω
rms value of current is given as:
\(I=\frac{V}{XL}=\frac{220}{2πX50X44X10^{-3}}=15.92 A\)
Hence, the rms value of current in the circuit is 15.92 A.
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Concepts Used:
AC Voltage
When voltage changes its direction after every half cycle is known as alternating voltage. The current flows in the circuit at that time are known as alternating current. The alternating current(AC) follows the sine function which changes its polarity concerning time. Most of the electrical devices are operating on the ac voltage.
