Electric Circuit Analysis: Unit III: Transient Response Analysis
Transient Response Analysis
Introduction
The V - i relationships across the inductors and capacitors involve integral and differential relationship. By applying KCL and KVL to circuits containing L and C we get equations called integro differential equations.
Unit - III
TRANSIENT RESPONSE ANALYSIS
INTRODUCTION
The
V - i relationships across the inductors and capacitors involve integral and
differential relationship. By applying KCL and KVL to circuits containing L and
C we get equations called integro differential equations. Differential
equations contain functions and their derivatives. Integral equations contain functions
and their integrals.
Consider
the differential equation,
This
equation involves a relationship between two variables i.e., x (t) and t. t is
independent variable whereas x (t) is dependent variable.
f
(t) is called forcing function.
The
order of a differential equation represents the highest derivative present in
the equation. In the d2x(t) / dt2 equation (1), second
derivation is the highest derivative. Hence equation (1) is the second-order
differential equation. The coefficients of the terms (ɑ0, ɑ1,
ɑ2) on the left hand side of the equation (1) are constants. So it
is considered as time-invariant.
A
linear differential equation is one in which the dependent variable and its
derivatives appear in first power only. For example, equation (1) is a linear
differential equation.
If
f (t) is zero, then it is homogeneous differential equations, otherwise it is
non-homogeneous.
Electric Circuit Analysis: Unit III: Transient Response Analysis : Tag: : Introduction - Transient Response Analysis
Electric Circuit Analysis: Unit III: Transient Response Analysis
Under Subject
Electric Circuit Analysis
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