Unit Ramp Function

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 magnitude of one for time greater than zero, and has zero magnitude for time less than zero. A unit step …

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Application of Laplace Transform

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 laws to the circuit, then these differential equations can be easily solved by using Laplace transformation methods. Consider a series …

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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 fraction expansion which will be recognizable as the transform of known functions. Laplace Transform of Periodic Functions: Periodic functions appear in many practical problems. Let …

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