The RLC filter is described as a second-order circuit, meaning that any voltage or current in the circuit can be described by a second-order differential equation in circuit analysis. The three circuit elements, R, L and C, can be combined in a number of different topologies.

What will be the response of a series RLC circuit if the roots of its characteristic equation are complex conjugate?

Explanation: If the roots of an equation are complex conjugate, then the response will be under damped response. Explanation: If the roots of an equation are real and equal, then the response will be critically damped response.

How do you find the characteristic equation of an RLC circuit?

The characteristics equation of the series RLC circuit is:

1. s 2 + ( L C ) s + R L = 0.
2. s 2 + ( 1 L C ) s + R L = 0.
3. s 2 + ( R L ) s + L C = 0.
4. s 2 + ( R L ) s + 1 L C = 0.

What is step response of series RLC circuit?

The step response of series RLC circuit In series RLC circuit, there are two energy storing element which are L and C, such a circuit give rise to second order differential equation and hence called second order circuit. Details about the step response of series RLC circuit

What is the form for S1 and S2 in parallel RLC circuit?

For a parallel RLC circuit with specific values of R, L and C, the form for s 1 and s 2 depends on Natural Response –Overdamped Example Given V 0 = 12 V and I 0 = 30 mA, find v(t) for t ≥ 0.

How do you solve the characteristic equation for parallel RLC?

The two solutions to the characteristic equation can be calculated using the quadratic formula: So far, we know that the parallel RLC natural response is given by A. The value of  B. The value of  0 C. The value of (22-  0) where and 0 RC LC s v t A e A es t 1 2 1 ( )