## Sinusoidal Response of RL Circuit

Sinusoidal Response of RL Circuit: Consider a Sinusoidal Response of RL Circuit consisting of resistance and inductance as shown in Fig. 12.16. The switch, S, is closed at t = 0. At t = 0, a sinusoidal voltage V cos (ωt + θ) is applied to the series R-L circuit, where V is the amplitude […]

## Transient Response of RLC Circuit

Transient Response of RLC Circuit: Consider a Transient Response of RLC Circuit consisting of resistance, inductance and capacitance as shown in Fig. 12.11. The capacitor and inductor are initially uncharged, and are in series with a resistor. When switch S is closed at t = 0, we can determine the complete solution for the current. […]

## Transient Response of RC Circuit

Transient Response of RC Circuit: Consider a Transient Response of RC Circuit consisting of resistance and capacitance as shown in Fig. 12.6. The capacitor in the circuit is initially uncharged, and is in series with a resistor. When the switch S is closed at t = 0, we can determine. the complete solution for the […]

## Transient Response of RL Circuit

Transient Response of RL Circuit: Considers a Transient Response of RL Circuit consisting of a resistance and inductance as shown in Fig. 12.1. The inductor in the circuit is initially uncharged and is in series with the resistor. When the switch S is closed, we an find the complete solution for the current. Application of […]

## Application of LCR Circuit

Application of LCR Circuit: Here, we consider the Application of LCR Circuit containing a source, resistors, inductors and capacitors. Before discussing the formation of differential equation for the circuits, let us discuss the υ-i relationships for basic network elements. Resistor: The resistor shown in Fig. 11.1(a) has the following relation between voltage and current. where […]

## Non Homogeneous Differential Equation

Non Homogeneous Differential Equation: Now let us consider the following Non Homogeneous Differential Equation, where the coefficients a0, a1, … an are constants, and f(t) is a function of me. The general solution may be written where xc is the complementary function, and xp is the particular integral. Since xc is the general solution of […]

## Homogeneous Linear Differential Equations

Homogeneous Linear Differential Equations: Consider an nth order homogeneous linear differential equations with constant coefficients, where a0, a1 … an are real constants. Now we shall find the solution of Eq. 11.11 of the form x = emt. By assuming that x = emt is a solution for certain m, we have Substituting in Eq. 11.11, […]

## Differential Equations Solutions and Basic Concepts

Differential Equations Solutions and Basic Concepts: Differential Equations Solutions and Basic Concepts which denote rates of change, occur in various branches of science and engineering. We make use of differential equations, for example, to determine the motion of a rocket or a satellite, to determine the charge or current in an electric circuit, or to […]

## Parallel Magnetic Circuit

Parallel Magnetic Circuit: We have seen that a series magnetic circuit carries the same flux and the total mmf required to produce a given quantity of flux is the sum of the mmf’ s for the separate parts. In a Parallel Magnetic Circuit, different parts of the circuit are in parallel. For such circuits the […]

## Magnetic Leakage and Fringing

Magnetic Leakage and Fringing: Magnetic Leakage and Fringing – Figure 10.28 shows a magnetized iron ring with a narrow air gap, and the flux which crosses the gap can be regarded as useful flux. Some of the total flux produced by the ring does not cross the air gap, but instead takes a shorter route […]