What are the formulas for a series RLC circuit?

What are the formulas for a series RLC circuit?

The formulas on this page are associated with a series RLC circuit discharge since this is the primary model for most high voltage and pulsed power discharge circuits. Each of the following waveform plots can be clicked on to open up the full size graph in a separate window.

Can a RLC circuit be critically damped or overdamped?

As opposed to RL and RC circuits, RLC circuits can be overdamped, underdamped or critically damped. The behavior of these are not the same as we talked about in this post. Here, both overdamped and critically damped circuits can overshoot the final value.

When does the low side switch form an RLC circuit?

Once the reverse recovery period of the diode ends, the low side switch presents a capacitive load to the circuit and an RLC circuit is formed. The R is the on-state resistance of the high side switch. The L is the summation of stray inductances in the commutation loop. The C is the output capacitance of the low side switch.

What does V ( 1 ) and V ( 3 ) mean in RLC?

V (1) is the voltage on the 1 mF capacitor as it discharges towards zero with no overshoot. V (3) is the voltage on the load resistor, in this case a 20 ohm value.

How to find transient response of RLC circuit?

When Q>1/2, the regime is said to be pseudo-periodic or to be an underdamped response, the transient response can be written with the form Vout,tr=Ae-αtcos (ωt+Φ). The constants A, α and Φ can be found by considering the initial conditions of the circuit (if the capacitor is charged or not …).

What are the properties of an unknown RLC circuit?

For an unknown RLC circuit, identifying and matching the transient response with the best possible curve can give us the important properties of the circuit such as ω0 and Q . We consider in this section the same circuit presented in Figure 1 now supplied with an AC source.

Is the series RLC circuit a high or low pass filter?

Plotting the norm of this function reveals that the series RLC circuit behaves as a second-order low-pass filter. In the last section, alternative configurations called RCL and CLR are investigated. This section shows that a second-order high-pass filter or a band-pass filter can be made from the same circuit by simply switching the components.