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Question
A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.
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Solution
Inductance of inductor, L = 44 mH = 44 × 10−3 H
Supply voltage, V = 220 V
Frequency, v = 50 Hz
Angular frequency, ω = 2πv
Inductive reactance, XL = ω L = 2πvL
= 2π × 50 × 44 × 10−3 Ω
The rms value of current is given as:
`"I" = "V"/"X"_"L"`
= `220/(2pi xx 50 xx 44 xx 10^-3)`
= 15.92 A
Hence, the rms value of the current in the circuit is 15.92 A.
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