# Laplace Transform Examples Part 1

Published on 24/2/2012 and last updated on Saturday 14th of July 2018 at 07:19:03 PM

Let us solve the Laplace Transform Examples for clearing our concept,
1) Where, F(s) is the Laplace form of a time domain function f(t). Find the expiration of f(t). Answer Now, Inverse Laplace Transformation of F(s), is

2) Find Inverse Laplace Transformation function of Answer

Now, Hence,

3) Solve the differential equation Answer As we know that, Laplace transformation of

4) Solve the differential equation, Answer As we know that,

5) For circuit below, calculate the initial charging current of capacitor using Laplace Transform technique.

Answer The above figure can be redrawn in Laplace form, Now, initial charging current,

6) Solve the electric circuit by using Laplace transformation for final steady-state current

Answer The above circuit can be analyzed by using Kirchhoff Voltage Law and then we get Final value of steady-state current is

7) A system is represented by the relation Where, R(s) is the Laplace form of unit step function. Find the value of x(t) at t → ∞. As R(s) is the Laplace form of unit step function, it can be written as

8) Find f(t), f'(t) and f"(t) for a time domain function f(t). The Laplace Transformation form of the function is given as By applying initial value theorem, we get, Applying Initial Value Theorem, we get, More Examples on Laplace Transform

##### Related pages
Laplace Transform Examples Part 1
5
⚑ 2 total
5
4
3
2
1

New Articles
Articles on Laplace
State Space AnalysisResponse of Second-Order Control SystemResponse of Control SystemTransfer FunctionsTime Domain AnalysisFinal Value TheoremInitial Value TheoremTransfer FunctionNetwork SynthesisRouth Hurwitz Stability CriterionRoot Low PlotNyquist PlotModelling of Control SystemBode PlotLaplace TransformsLaplace Transform ExamplesLaplace Transform
More Articles on Control System
Control EngineeringFourier
Articles Categories
Home
Basic Electrical
Electric Transformer
Electric Generator
Electric Motor
Electrical MCQ
Engineering Calculators
Video Lectures
Electrical Generation
Electric Transmission
Switchgear
Electric Protection
Electrical Measurement
Electronics Devices
Power Electronics
Digital Electronics