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A pure inductor of 25 mH is connected to a source of 220 V. If the frequency of the source is 50 Hz, the inductive reactance would be _____.

Asked in GSEB Board July 2022 · Reactance and frequency

• (1) 5.75 Ω
• (2) 8.75 Ω
• (3) 7.85 Ω
• (4) 9.85 Ω

Step-by-step solution

Why the other options are wrong

• (1) No single slip produces 5.75 Ω. Sanity check: X_L=2π fL=2π×50×0.025=7.85 Ω; reaching 5.75 Ω would need L≈18 mH.
• (2) No physics slip gives 8.75 Ω; it is 7.85 with the first two digits swapped. X_L=2π×50×0.025=7.85 Ω.
• (4) No single slip produces 9.85 Ω. Sanity check: X_L=2π×50×0.025=2.5π≈7.85 Ω.

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