A 2H inductor has negligible resistance and is connected to a 50? 50 ? Hz A.C supply. The reactance of the inductor is?

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

Answer Details

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

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

𝑋𝐿=2𝜋𝑓𝐿XL​=2πfL

Substituting the given values:

𝑋𝐿=2𝜋×50𝜋×2XL​=2π×50π×2

𝑋𝐿=200𝜋2XL​=200π2

So, the reactance of the inductor is 200𝜋2200π2 ohms.