**S Domain Analysis:**

**Driving Point Function**** :** For a given network, the ratio of Laplace transform of the source voltage and source current is called driving point function. If it is a ratio of source voltage to source current, it is called driving point impedance function denoted as Z(s) while if it is a ratio of source current to source …

**Evaluation of Residue Using Pole-zero Plot**** :** The behavior of a network can be predicted only by looking at the pole-zero plot. The poles are the complex frequencies explaining the time responses. Also zeros are useful in finding partial fraction expansion. In this section, we will discuss graphical methods for obtaining the residue i.e. partial-fraction expansion coefficients directly from the …

**Pole Zero Plot**** :** Pole Zero Plot – The variable s is a complex variable. Hence a complex plane is required to indicate the values of s graphically. A complex plane is a plane with X-axis as real axis and Y-axis as imaginary axis. The real axis is denoted as σ axis while imaginary axis is denoted as jω axis. …

**Poles and Zeros of Network Function**** :** All the Poles and Zeros of Network Function have the form of a ratio of two polynomials in s as, The P(s) is the numerator polynomial in s having degree m while the Q(s) is the denominator polynomial in s having degree n. Hence network function can be expressed as, Now the equation P(s) = …

**s domain**** :** To Understand the concept of s domain network, let us see the below three points Single Resistor in s Domain Single Inductor in s Domain Single Capacitor in s Domain Single Resistor in s Domain: Consider a single resistor, carrying a current i(t) shown in the Fig. 3.1. The voltage across it is v(t). According to Ohm’s Law, Taking Laplace transform of the equation, The equivalent …

**Time Domain Response From Pole Zero Plot**** :** From the locations of poles and zeros of the network function in the s-plane, the time response of the network can be perfectly identified. Let us study the various types of poles and their locations and the related time Time Domain Response From Pole Zero Plot. As stated earlier, poles mainly decide …

**Transfer Function or Network Function**** :** Every network is designed to produce a particular output, when input is applied to it. The network performance is judged by studying its output for the applied input. The output is the effect of network parameters on the applied input. Thus once the network is designed, the effect of network parameters remains same, on …