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JAMB UTME - Physics - 2000

Question 1 Report

A 2H inductor has negligible resistance and is connected to a 50/π Hz A.C. Supply. The reactance of the inductor is
Answer Details
The reactance of the inductor is 100/π Ω. Reactance is the opposition that an inductor or a capacitor offers to the flow of alternating current. The reactance of an inductor is given by the equation: XL = 2πfL where XL is the inductive reactance, f is the frequency of the AC supply, and L is the inductance of the inductor. In this case, we are given that the inductance of the inductor is 2H and the frequency of the AC supply is 50/π Hz. Substituting the given values into the equation for inductive reactance, we get: XL = 2πfL = 2π(50/π)(2) = 200 Ω Therefore, the reactance of the inductor is 200 Ω. Note that in the given options, 200 Ω is one of the answer choices.