Question

What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?

• A. Both, including reactance and current will be doubled
• B. Both, including reactance and current will be halved
• C. Inductive reactance will be halved and current will be doubled
• D. Inductive reactance will be doubled and current will be halved

Answer 1

The correct option is D Inductive reactance will be doubled and current will be halved

Inductive reactance, $X_L=\omega L$
If frequency is halved, $X_L^{{}^{\prime }}=\left(\frac{X_L}{2}\right)$
[inductive reactance is halved]
$\because I=\frac{V}{X_L}$
So, $I^{\prime }=\frac{2V}{X_L}=2I$ [current will be doubled]