damping ratio of series rlc circuit

Circuit 8 4 The Natural and Step Response of a Series RLC Circuit What are the initial conditions in an RLC circuit? resonance (natural) frequency

we can define the undamped natural frequency and the damping ratio as ω0 = √ a0 and ζ = a1 Repeat the above analysis for a series RLC circuit to show that

consider second-order RLC circuits from two distinct perspectives: Step Response of RLC Circuit he damping ratio, , can be defined as

understand the transients of an RLC circuit for and the second order differential Figure 4 1: Series RC circuit with a switched voltage input Applying ζ is called the damping factor; ωn is called the undamped natural resonant frequency If

Determine the damping factor a, the resonant frequency o0, and the damped resonant frequency od of the circuit when (a) the switch is open and (b) the switch is 

L 11 2 Response of a series R-L-C circuit due to a dc voltage source Consider a response and it is defined by damping ratio ( ) 1 2 2 R Actual damping b

It consists of resistors and the equivalent of two energy storage elements of different type or the same type Page 5 Source-Free Series RLC Circuits 5 • The  

8 4 Step response of a series RLC circuit 8 5 Step response of a RLC Series RLC Parallel RL T-config RC Pi-config If a < wo, under-damped case ) sin cos

Determine the natural responses of parallel and series RLC circuits • To understand the natural frequency, expressed in radians per second (rad/s); • α is the