Quality Factor
Quality Factor Quality Factor describes the energy storage capability of and Capacitor in RLC circuit. It's also called Q factor. Series RLC Resonance circuit: Q[L] = 2π * {(Energy stored by an Inductor)/(Energy dissipated by R per cycle)} Q[C] = 2π * {( Energy stored by capacitor)/(Energy dissipated by R per cycle)} Energy stored by inductor = 1/2 LIo^2 Energy stored by capacitor= 1/2 CVo^2 Where, Vo and Io = peak value) Energy dissipated by R per cycle = {1/2 (Io^2 * R)}*To Now, Q[L] = 2π * {(1/2 LIo^2) / (1/2 Io^2*R)*To} or, Q[L] = 2π /To * (L/R) or, Q[L] = Wo*(L/R) = XL/R = IXL/IR V=VL/VR Q[L] = VL /V = WoL/ R = 1/R * √(L/C) ------(1) And, Q[C] = 2π * {(1/2 CVo^2) / (1/2 Io^2*R)*To} or, Q[C] = 2π /To * (CVo^2/Io^2R) or, Q[C] = Wo * {( C * Io^2 * Xc)/(Io^2*R) or, Q[C] = 1/(WoRC) = Xc/R = Vc/VR Q[C] = Vc/V = 1/(WoRC) = 1/ R *√(L/C) -----(2) From eqn(1) and eqn(2); we can says that, Q[L] = Q[C] = 1/ R * √(L/C) = Q[S] Where, Q[S] = Q- factor in series RLC Resonan...