The article next gives the analysis for the series RLC circuit in detail.

An RLC circuit can be used as a low-pass filter.

For the case of the series RLC circuit these two parameters are given by:

Using complex numbers is a way to simplify calculating certain components in RLC circuits.

Other analogous systems include electrical harmonic oscillators such as RLC circuits.

The RLC circuit is the simplest three-element-kind network.

For a circuit model incorporating resistance, see RLC circuit.

Compare this result with the theory section on resonance, as well as the "magnitude part" of the RLC circuit.

The mathematics used to describe its behavior is identical to other simple harmonic oscillators such as the RLC circuit.

This approach was later generalised to RLC circuits, replacing resistances with impedances.

Maxwell explained resonance mathematically, with a set of differential equations, in much the same terms that an RLC circuit is described today.

Such resonant circuits are also called RLC circuits after the circuit symbols for the components.

See RLC circuit.

For a parallel RLC circuit, the Q factor is the inverse of the series case:

An example of an analogue electronic band-pass filter is an RLC circuit (a resistor-inductor-capacitor circuit).

A high Q RLC circuit is tuned to the second harmonic to detect the second derivative.

In wideband detection, the impedance usually comprises a low Q parallel-resonant RLC circuit.

The primary coil forms a series RLC circuit, and the Q factor for such a coil is:

In either case, the RLC circuit becomes a good approximation to an ideal LC circuit.

From an RF perspective, the components behave like a series RLC circuit with negligible resistance and inductance.

The first practical use for RLC circuits was in the 1890s in spark-gap radio transmitters to allow the receiver to be tuned to the transmitter.

I shall here discuss only series simple RLC circuits(only one R,L,C).

Examples of such systems are electrical circuits made up of resistors, inductors, and capacitors (RLC circuits).

The magnetic pulse welding system is a high frequency capacitor discharge circuit (RLC circuit) often with extreme energy and power characteristics.

Ideal spring-mass-damper systems are also LTI systems, and are mathematically equivalent to RLC circuits.