A 2H inductor has negligible resistance and is connected to a \( \frac{50}{\pi} \) Hz A.C supply. The reactance of the inductor is?

Assessment: JAMB UTME - Physics - 2021 Subject: Physics

Question 1 Report

A 2H inductor has negligible resistance and is connected to a \( \frac{50}{\pi} \) Hz A.C supply. The reactance of the inductor is?

Answer Details

Given: Inductance (𝐿L) = 2 H Frequency (𝑓f) = 50Ο€ Hz

The reactance of the inductor (𝑋𝐿XL​) can be calculated using the formula:

𝑋𝐿=2πœ‹π‘“πΏXL​=2Ο€fL

Substituting the given values:

𝑋𝐿=2πœ‹Γ—50πœ‹Γ—2XL​=2π×50π×2

𝑋𝐿=200πœ‹2XL​=200Ο€2







So, the reactance of the inductor is 200πœ‹2200Ο€2 ohms.

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