Question

A 55 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.​

Answer 1

Answer:

Inductance of inductor, L = 44 mH = 44 × 10-3 H

Supply voltage, V = 220V

Frequency, ν = 50Hz

Angular frequency,

ω=2πv

Inductive reactance,

XL=ωL=2πvL=2π×50×44×10−3Ω

Rms value of current is given as:

I=vXL

=2202π×50×44×10−3=15.92A

Hence, the rms value of current in the circuit is 15.92 A.

Answer 2

Answer:

We know that X L =ωL=2πfL=2×3.14×50×44×10 −3

=13.82Ω

Therefore, I rms = E/XL

=220/13.82

=15.92A