In a tuned radio receiver R, L, C series circuit for resonance, the inductive and capacitive reactance XL and XC respectively are related as

In a tuned radio receiver R, L, C series circuit for resonance, the inductive and capacitive reactance XL and XC respectively are related as

Answer Details

In a tuned radio receiver R, L, C series circuit for resonance, the inductive and capacitive reactance X_L and X_C respectively are related as X_L = 1/(2πfC) and X_C = 1/(2πfL), where f is the frequency of the applied voltage. Therefore, substituting X_C into X_L, we get X_L = X_C. Hence, the correct answer is X_L = X_C.