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# Electrical Circuits

## First Order System Transient Response

First-order systems are important in all engineering disciplines and occur frequently in nature. Such systems are characterized by a single state variable, where the system energy is proportional to the square of the state variable. That energy is dissipated by the system such that the rate of change of the …

## Maximum Power Transfer Theorem

Maximum Power Transfer Theorem Definition Maximum power transfer theorem states that maximum power output is obtained when the load resistance Ro is equal to Thevenin resistance RT as seen from load Terminals. The reduction of any linear resistive circuit to its Thevenin or Norton equivalent form is a very convenient conceptualization, …

## Superposition Theorem

The principle of superposition is a valid and frequently used, analytic tool for any linear circuit. It is also a powerful conceptual aid for understanding the behavior of circuits with multiple sources. For any linear circuit, the principle of superposition states that each independent source contributes to each voltage and …

## Node Voltage Method

Node voltage analysis is the most general method for the analysis of electric circuits. Its application to linear resistive circuits is illustrated in this article. The node voltage method is based on defining the voltage at each node as an independent variable. One of the nodes is freely chosen as …

## Mesh Current Analysis

Another method of circuit analysis employs mesh currents. The objective, similar to that of node analysis, is to generate one independent equation for each independent variable in a circuit. In this method, each mesh in a circuit is assigned a mesh current variable and Kirchhoff’s voltage law (KVL) is applied …

## Characteristics of Network and Electric Circuit

The Oxford online dictionary defines a network as “a group or system of interconnected people or things”. In an electric network, elements, such as resistors, are connected by wires. The same dictionary defines a circuit as “a complete and closed path around which a circulating electric current can flow” or …

## Difference Between Diamagnetism, Paramagnetism, and Ferromagnetism

In order to classify materials as magnetic or non-magnetic, it must be determined whether or not forces act on the material when a material is placed in a magnetic field. If a bar of any given material is suspended in a magnetic field, it will either turn at a right …

## Difference between Conductor Semiconductor and Insulator

This article covers the key differences between Conductor, Semiconductor, and Insulator on the basis of Conductivity, Resistivity, Forbidden Gap, Conduction, Band Structure, Current Flow, Band Overlap, 0 Kelvin Behavior, and Examples. The following table covers the key Differences between Conductor Semiconductor and Insulator. You May Also Read: Difference between Electric and …

## Thevenin’s Theorem | Thevenin Equivalent Circuit | Solved Examples

Suppose that the circuit of Figure 1(a) is sealed in a black box (represented by the thick line) with only the terminals A and B exposed. A high-resistance voltmeter connected across these terminals shows that the open-circuit output voltage of the circuit is 80 V. Similarly, connecting a very low …

## Nodal Analysis with Solved Examples

Nodal analysis is a circuit-analysis format that combines Kirchhoff’s current- law equations with the source transformation. Converting all voltage sources to equivalent constant-current sources allows us to standardize the way we write the Kirchhoff’s current-law equations. For nodal analysis, we consider source currents to flow into a node. If the …

## Mesh Current Analysis with Solved Problems

Mesh Current Analysis is a technique that simplifies and speeds up writing the simultaneous equations for solving various resistance networks. The format for mesh equations is straightforward, but it cannot handle some of the networks that we can solve with the loop procedure. A mesh is a closed loop that …

## Source Transformation Example Problems with Solutions

Source transformation is a circuit analysis technique in which we convert voltage source in series with resistor into a current source in parallel with the resistor and vice versa. For a given constant-voltage source, Rint in the equivalent constant-current source has the same value but appears in parallel with the ideal current source, …

## Series-Parallel Circuit: Definition & Examples | Series-Parallel Resistors

Considered as a whole, the circuit in Figure 1 is neither a series nor a parallel circuit. However, R2 and R3 are connected between the same two points in the circuit and must have the same voltage drop. Therefore these two resistors are in parallel, and we can calculate a …

## Parallel Circuit: Definition & Examples | Resistors in Parallel

Figure 1 shows two different ways of drawing a circuit diagram for the same simple parallel circuit. Circuit diagrams usually show interconnecting conductors as either horizontal or vertical lines, as in Figure 1(a). However, to illustrate the nature of a parallel circuit, we redraw the circuit diagram by combining the …

## Series Circuit: Definition & Examples | Resistors in Series

Series Circuit Definition A series circuit can be identified by the connection between components or by the current through them. For example, in the circuit of Figure 1, R1 and R2 are connected in series because no other component or branch is connected to the junction of R1 and R2. …

## Power & Efficiency: Definition, Unit, Formula, Examples

Power is the rate of doing work. The letter symbol for power is P. The watt (W) is the Si unit of power. One watt is equal to one joule per second: 1 W = 1 J/s Equation 1 shows the relationship between power and work: \[\begin{matrix}   P=\frac{W}{t} & {} …

## Linear & Nonlinear Resistor | Definition | Characteristic Curve

For most conductors, a graph of current versus voltage is a straight line, indicating a constant resistance (see Figure 1). The smaller the resistance, the steeper the slope of the graph. Definition: A resistor that maintains a constant V/I ratio is a linear resistor. As the current through a resistor …

## Parallel RLC Circuit: Analysis & Example Problems

In parallel RLC circuits the three basic components are in parallel with each other, and, therefore, all are subject to the same voltage. The current for each branch, however, depends on the impedance of the branch and can be individually determined by employing Ohm’s law. For a parallel RLC circuit, the voltage is common …