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A 44 mH inductor is connected to a 220 V, 50 Hz ac supply. The rms value of the current in the circuit is ______.

Asked in GSEB Board July 2023 · Reactance and frequency

• (1) 18.26 A
• (2) 13.27 A
• (3) 9.18 A
• (4) 15.9 A

Step-by-step solution

Why the other options are wrong

• (1) No single slip produces 18.26 A. Sanity check: X_L=2π×50×0.044=13.8 Ω and (220)/(13.8)=15.9 A.
• (2) Comes from using 60 Hz mains instead of 50 Hz: X_L=2π×60×0.044=16.6 Ω and (220)/(16.6)=13.27 A.
• (3) No single slip produces 9.18 A. Sanity check: with X_L=13.8 Ω the current is (220)/(13.8)=15.9 A.

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