Transient Response in Series RLC circuit with Sinusoidal Excitation

In the article Transient Response in Series RLC circuit with Sinusoidal Excitation or Second Order Circuit we will drive the equation and also solve some example. Let’s start with derivation: Derivation of Transient Response in Series RLC circuit with Sinusoidal Excitation Let the applied voltage be           As soon as the switch is closed, the mesh equation becomes                                  …(1) Differentiation leads                                   …(2) The particular solution can be obtained as follows: Let                               Substituting of values of i’p and i”p in equation (2).          …

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Transient Response in Series RC circuit with Sinusoidal Excitation

In the tutorial “Transient Response in Series RC circuit with Sinusoidal Excitation” we will discuss about transient response in series RC circuit with sinusoidal excitation, its derivation and example. This is also also called as first order sinusoidal excitation. Derivation of Transient Response in Series RC circuit with Sinusoidal Excitation Let the applied voltage to the series RC circuit be           Application of KVL in the series R-C circuit of figure 1 yields                               …(1) Differentiation of equation (1) gives,                              …(2) The complementary function being iC,…

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Transient Response in RLC Circuit with D.C. Excitation

In the article Transient Response in RLC Circuit with D.C. Excitation you will learn about transient response of RLC it is also called Second Order Circuit. Derivation of Transient Response in RLC Circuit with D.C. Excitation Application of KVL in the series RLC circuit (figure 1) t = 0+ after the switch is closed, leads to the following differential equation         By differentiation,         or,                                    …(1) Equation (1) is a second order, linear, homogenous differential equation. The characteristic equation then becomes         where the co-efficient are constant. The roots…

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Transient Response in Series R-L Circuit with Sinusoidal Excitation

Transient Response in Series R-L Circuit with Sinusoidal Excitation also called First Order Circuit with sinusoidal excitation. In previous article we had already posted various first order circuit with different mode of excitation.  Transient Response in Series RC circuit having D.C. Excitation (First Order circuit),  Transient Response of Passive Circuits (Differential Equation Approach), Examples of Transient Response of Series R-L Circuit having D.C. Excitation, Derivation of Transient Response in Series R-L Circuit with Sinusoidal Excitation Let v = Vm sin (ɷt + ϕ) where ϕ varies from 0-2p depending on…

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Examples of Transient Response of Series RC Circuit

In the article Examples of Transient Response of Series RC Circuit having D.C. Excitation we will solve 10 different example of Transient Response of Series RC Circuit having D.C. Excitation. While solving these example we are assuming that you have knowledge of  Transient Response in Series RC circuit having D.C. Excitation (First Order circuit). So let’s get started: Example 1: Calculate the time taken by a capacitor of 1 µF and in series with a 1 MF resistance to be charged upto 80% of the final value. Solution: The time…

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Transient Response in Series RC circuit having D.C. Excitation (First Order circuit)

Transient Response in Series RC circuit having D.C. Excitation is also called First Order circuit. In this article you will learn derivation of transient response of first order circuit with example. Derivation of Transient Response in Series RC circuit having D.C. Excitation Let a d.c. voltage V be applied (at t=0) by closing a switch S in series R-C circuit (figure 1). The current at t > 0 being i, application of KVL leads to                                                                            …(1) Differentiation of equation (1) results,            …

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Examples of Transient Response of Series R-L Circuit having D.C. Excitation

In the article Examples of Transient Response of Series R-L Circuit having D.C. Excitation we will solve 10 different example of Transient Response of Series R-L Circuit having D.C. Excitation. While solving these example we are assuming that you have knowledge of Transient Response of Series R-L Circuit having D.C. Excitation So let’s get started: Example: 1 In a series R-L circuit, the application of a direct voltage results a steady state current of 0.632I in 1 second. I being the final steady state value of the current. However, after…

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Transient Response of Series R-L Circuit having D.C. Excitation

Transient Response of Series RL Circuit having DC Excitation is also called as First order circuit. In this article we discuss about transient response of first order circuit i.e. series R-L circuit, its derivation with example. Previously, we had discussed about Transient Response of Passive Circuit | Differential equation Approach. Derivation of Transient Response of Series RL Circuit having DC Excitation Let a d.c. voltage V be applied suddenly (i.e., at t=0) by closing a switch K in a series R-L circuit as shown in figure 1. Applying KVL yields,…

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Transient Response of Passive Circuits (Differential Equation Approach)

Analysis of behavior of electric circuit reveals that as soon as a circuit is switched from one condition to another either by change of source or by alteration of circuit elements, branch currents and voltages drops changes from initial values to new values. These changes take a short spell of time to settle to permanent values (steady state) till further switching or circuit alteration is attempted. This brief spell of time is called transient time and the value of the variables (current and voltage drop) during this period is called…

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Reciprocity Theorem Example with Solution

In the article Reciprocity Theorem Example with Solution we had solved various kind of problem regarding Reciprocity Theorem Example. While solving these example we are assuming that you have knowledge of Reciprocity Theorem. Check the article on Reciprocity Theorem. Example 1: Show the application of reciprocity theorem in the network of figure 1. Solution: With the reference to figure 1, the equivalent resistance across x-y is given by                                         with reference to figure 2,                     This gives           Hence we observe that when the sources was in…

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