# Documentation

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# Shunt RLC

Model shunt RLC network

## Library

Ladders Filters sublibrary of the Physical library

## Description

The Shunt RLC block models the shunt RLC network described in the block dialog box, in terms of its frequency-dependent S-parameters.

For the given resistance, inductance, and capacitance, the block first calculates the ABCD-parameters at each frequency contained in the vector of modeling frequencies, and then converts the ABCD-parameters to S-parameters using the RF Toolbox™ `abcd2s` function. See the Output Port block reference page for information about determining the modeling frequencies.

For this circuit, A = 1, B = 0, C = Y, and D = 1, where

`$Y=\frac{-LC{\omega }^{2}+j\left(L/R\right)\omega +1}{jL\omega }$`

and $\omega =2\pi f$.

The shunt RLC object is a two-port network as shown in the following circuit diagram.

## Parameters

### Main Tab

Resistance (ohms)

Scalar value for the resistance. The value must be nonnegative.

Inductance (H)

Scalar value for the inductance. The value must be nonnegative.

Capacitance (F)

Scalar value for the capacitance. The value must be nonnegative.

### Visualization Tab

For information about plotting, see Create Plots.