Circuits and Networks

Routh Criterion

Routh Criterion: Routh Criterion – The locations of the poles gives us an idea about stability of the active network. Consider the denominator polynomial To get a stable system, all the roots must have negative real parts. There should not be any positive or zero real parts. This condition is not sufficient. Let us consider […]

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Poles and Zeros of Transfer Function

Poles and Zeros of Transfer Function: Poles and Zeros of Transfer Function defines that, in general, the network function N(s) may be written as where a0,a1,…a2 and b0,b1,…bm are the coefficients of the polynomials P(s) and Q(s); they are real and positive for a passive network. If the numerator and denominator of polynomial N(s) are factorized, the

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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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Laplace Transform Partial Fraction

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 it into partial fractions. The Laplace Transform Partial Fraction depend on the type of factor. It is to be assumed

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