Transfer Function of Two Port Network: For a one-port network, the driving point impedance or impedance of the network is defined as The reciprocal of the impedance function is the driving point admittance function, and…
Gate Function in Network Function: Gate Function in Network Function - By the use of step functions, any pulse of unit height can be realized. The pulse of width a can be generated by combining…
Unit Step Function | Unit Ramp Function | Unit Impulse Function | Unit Doublet Function: a) Unit step function: This function has already been discussed in the preceding It is defined as one that has…
Application of Laplace Transform: Application of Laplace Transform methods are used to find out transient currents in circuits containing energy storage elements. To find these currents, first the differential equations are formed by applying Kirchhoff's…
Laplace Transform Partial Fraction: Most transform methods depend on the partial fraction of a given transform function. Given any solution of the form N(s) = P(s)/Q(s), the inverse Laplace transform can be determined by expanding…
Inverse Transformation: We already discussed Laplace transforms of a functions f(t). If the function in frequency domain F(s) is given, the Inverse Transformation can be determined by taking the partial fraction expansion which will be…
Laplace Theorem: The Laplace theorem is given by Differentiation Theorem Integration Theorem Differentiation of Transforms Integration of transforms First Shifting Theorem Second Shifting Theorem Initial Value Theorem Final Value Theorem (a) Differentiation Theorem: If a…
Laplace Properties: Laplace transforms have the following Laplace Properties. (a) Superposition Property: The first Laplace Properties is Superposition Property. The Laplace transform of the sum of the two or more functions is equal to the…
Definition of Laplace Transform: The Definition of Laplace Transform is used to solve differential equations and corresponding initial and final value problems. Laplace transforms are widely used in engineering, particularly when the driving function has…
Sinusoidal Response of RLC Circuit: Consider a Sinusoidal Response of RLC Circuit consisting of resistance, inductance and capacitance in series as shown in Fig. 12.20. Switch S is closed at t = 0. At t=…
