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=…
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 t = 0. At t…
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 = 0. At t = 0,…
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, and are in series with…
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, and is in series with…
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 uncharged and is in series…
