Resonant Frequency — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Resonant Frequency Applies to series and parallel LCR circuits where the inductive reactance and capacitive reactance are equal in magnitude. Equate inductive reactance (X L = 2 pi f L) and capacitive reactance (X C = 1/(2 pi f C)) Rearrange the equation to solve for f 2: f 2 = 1 / (4 pi 2 L C) Take the square root of both sides to obtain f r = 1 / (2 pi sqrt(LC)) Circuit must contain both inductive and capacitive components Assumes pure L and C for the ideal frequency calculation Frequency is independent of resistance in a series circuit Thinking resonant frequency depends on the circuit's resistance Confusing angular resonant frequency (omega) with linear frequency (f) Assuming impedance is maximum at resonance for series circuits (it is actually minimum)