Quality Factor Q Factor For Series Rlc Circuit — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Quality Factor (Q-factor) for Series RLC Circuit Used in AC series RLC circuits at resonance to measure the sharpness of the resonance curve and energy efficiency. Define Q as the ratio of resonance frequency to bandwidth: Q = omega r / delta omega Use the relation Q = (omega r L) / R Substitute the resonance frequency formula omega r = 1 / sqrt(L C) Simplify the expression to Q = (1/R) sqrt(L/C) Only applicable to series RLC circuits Assumes pure components with no stray parasitic elements Parameters R, L, and C must be positive Thinking Q has units of frequency; it is actually a dimensionless ratio. Assuming increasing resistance improves the selectivity of the circuit; higher R actually decreases Q and broadens resonance.