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Q. What is the ratio of inductive and capacitive reactance in AC circuit ?

Gujarat CETGujarat CET 2006Alternating Current

Solution:

Inductive reactance, $ X_L = \omega L $
Capacitrve reactance, $ X_C = \frac{ 1}{ \omega C} $
Therefore, $ \frac{ X_L}{ X_C} = \frac{ \omega L}{ 1 / \omega C} $
= $ \omega^2 \, L C $