## Inverse Transformation

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…

## Laplace Theorem

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…

## Laplace Properties

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…

## Definition of Laplace Transform

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…

## Sinusoidal Response of RLC Circuit

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…

## Sinusoidal Response of RC Circuit

Sinusoidal Response of RC Circuit: Consider a Sinusoidal Response of RC Circuit consisting of resistance and capacitance in series as shown in Fig. 12.18. The, switch, S, is closed at…

## Sinusoidal Response of RL Circuit

Sinusoidal Response of RL Circuit: Consider a Sinusoidal Response of RL Circuit consisting of resistance and inductance as shown in Fig. 12.16. The switch, S, is closed at t =…

## Transient Response of RLC Circuit

Transient Response of RLC Circuit: Consider a Transient Response of RLC Circuit consisting of resistance, inductance and capacitance as shown in Fig. 12.11. The capacitor and inductor are initially uncharged,…

## Transient Response of RC Circuit

Transient Response of RC Circuit: Consider a Transient Response of RC Circuit consisting of resistance and capacitance as shown in Fig. 12.6. The capacitor in the circuit is initially uncharged,…

## Transient Response of RL Circuit

Transient Response of RL Circuit: Considers a Transient Response of RL Circuit consisting of a resistance and inductance as shown in Fig. 12.1. The inductor in the circuit is initially…