Practical Electronics/Series RLC

From Wikibooks, open books for an open world
< Practical Electronics
Jump to: navigation, search

Summary[edit]

Network Symbol Series RLC
Network
RLC series circuit.png
Impedance Z Z = (j\omega)^2  + (j\omega)\frac{R}{L} + \frac{1}{LC}
Roots λ \lambda = 0 . I = e^-\alpha t
\lambda > 0 . I = e^-\alpha t[e^\omega t + e^\omega t
I = e^-alpha t [e^j \omega t + e^-j \omega t
I(t) I Aeλ1t + Beλ2t
Damping Factor \zeta
Resonant Frequency \omega_o
Band Width  \Delta \omega  =  2 \zeta
Quality factor Q =   {\omega_o \over \Delta \omega } = {\omega_o \over 2\zeta } Q =  {L \over R \sqrt{LC}} = {1 \over R} \sqrt{L \over C}