 A resistive circuit is a circuit containing only resistors, ideal current sources, and ideal voltage sources. This means that relationships between current and voltage are linear. If the sources are constant (DC) sources, the result is a DC circuit. The analysis of a circuit refers to the process of solving for the voltages and currents present in the circuit. The solution principles outlined here also apply to phasor analysis of AC circuits. Wikipedia does not have an article with this exact name. ...
An electrical network or electrical circuit is an interconnection of analog electrical elements such as resistors, inductors, capacitors, diodes, switches and transistors. ...
Image File history File links Download high resolution version (1748x2225, 18 KB) Circuit diagram used by w:Analysis of resistive circuits. ...
A resistive circuit is an electrical circuit designed to use resistance as a means of controlling the behavior of the electrical current in the circuit. ...
An ideal resistor is a component with an electrical resistance that remains constant regardless of the applied voltage or current flowing through the device. ...
It has been suggested that this article or section be merged with Voltage source. ...
It has been suggested that this article or section be merged with Current source. ...
Direct current (DC or continuous current) is the continuous flow of electricity through a conductor such as a wire from high to low potential. ...
Within electrical engineering, a DC circuit is an electrical circuit that consists of any combination of constant voltage sources, constant current sources, and resistors. ...
See wikibooks book on Phasors A phasor is a constant complex number representing the complex amplitude (magnitude and phase) of a sinusoidal function of time. ...
Two resistive circuits are said to be equivalent with respect to a pair of terminals if the voltages across the terminals and currents through the terminals are identical for both networks. International safety symbol Caution, risk of electric shock (ISO 3864), colloquially known as high voltage symbol. ...
In electricity, current refers to electric current, which is the flow of electric charge. ...
If V2 = V1 implies I2 = I1 for all (real) values of V1, then with respect to terminals ab and xy, circuit 1 and circuit 2 are equivalent.
Resistors in series and in parallel
Resistors in series:  This article or section does not adequately cite its references or sources. ...
Resistors in parallel:  This article or section does not adequately cite its references or sources. ...
- The above simplified for only two resistors in parallel:
Delta-wye transformation -
Main article: Y-Δ transform The transformation is used to establish equivalence for networks with 3 terminals. The Y-Δ transform (also written Y-delta or Wye-delta), Kennellys delta-star transformation, star-mesh transformation or T-Î (or T-pi) transform is a mathematical technique to simplify analysis of an electrical network. ...
Image File history File links Delta-Star_Transformation. ...
For equivalence, the resistance between any pair of terminals must be the same for both networks.
Delta-to-star transformation equations   
Star-to-delta transformation equations   
Voltage and current division Voltage division: Consider n resistors that are connected in series. The voltage Vi across any resistor Ri is In electronics, a voltage divider or resistor divider is a design technique used to create a voltage (Vout) which is proportional to another voltage (Vin). ...
 Current division: Consider n resistors that are connected in parallel. The current Ii through any resistor Ri is Circuits Left: Series | Right: Parallel Arrows indicate direction of current flow. ...
 for i = 1,2,...,n.
Special case: Two resistors in parallel  
Source transformation
 Image File history File links Source Transformation File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. ...
If the two networks are equivalent with respect to terminals ab, then V and I must be identical for both networks. Thus
- Vs = RIs or
 See also: Norton's theorem, Thévenin's theorem Nortons theorem for electrical networks states that any collection of voltage sources and resistors with two terminals is electrically equivalent to an ideal current source, I, in parallel with a single resistor, R. For single-frequency AC systems the theorem can also be applied to general impedances, not just...
In electrical circuit theory, Thévenins theorem for linear electrical networks states that any combination of voltage sources, current sources and resistors with two terminals is electrically equivalent to a single voltage source V and a single series resistor R. For single frequency AC systems the theorem can also...
1. Label all nodes in the circuit. Arbitrarily select any node as reference. Nodal analysis, or Node-Voltage analysis, is a method of determining the voltage (potential difference) between nodes (points where elements or branches connect) in an electrical circuit. ...
2. Define a voltage variable from every remaining node to the reference. These voltage variables must be defined as voltage rises with respect to the reference node.
3. Write a KCL equation for every node except the reference. Kirchhoffs circuit laws are a pair of laws that deal with the conservation of charge and energy in electrical circuits, and were first described in 1845 by Gustav Kirchhoff. ...
4. Solve the resulting system of equations.
Mesh — a loop that does not contain an inner loop. 1 Meshes and Mesh Currents For planar networks the meshes are the “windows†formed when the network is drawn with no branches crossing. ...
A mesh is similar to fabric or a web in that it has many connected or weaved pieces. ...
1. Count the number of “window panes” in the circuit. Assign a mesh current to each window pane.
2. Write a KVL equation for every mesh whose current is unknown. Kirchhoffs circuit laws are a pair of laws that deal with the conservation of charge and energy in electrical circuits, and were first described in 1845 by Gustav Kirchhoff. ...
3. Solve the resulting equations
Choice of method Given the choice, which method should be used: nodal analysis or mesh analysis?
Nodal analysis: The number of voltage variables equals number of nodes minus one. Every voltage source connected to the reference node reduces the number of unknowns by one. Nodal analysis, or Node-Voltage analysis, is a method of determining the voltage (potential difference) between nodes (points where elements or branches connect) in an electrical circuit. ...
Mesh analysis: The number of current variables equals the number of meshes. Every current source in a mesh reduces the number of unknowns by one. 1 Meshes and Mesh Currents For planar networks the meshes are the “windows†formed when the network is drawn with no branches crossing. ...
There is also another point to consider: mesh analysis only applies to planar circuits, i.e. circuits that can be drawn using only two dimensions. Intuitively, what this means is that the wires in the circuit diagram must not "jump over" one another if one is to apply mesh analysis. Nodal analysis, on the other hand, can be applied to both planar and non-planar circuits. Note that sometimes, a circuit that is drawn in a non-planar fashion (i.e. with wires jumping over each other) may be redrawn in planar form, although this is not always the case. Generally, most of the circuits one encounters in elementary resistive network analysis are planar in nature.
To summarize, for planar circuits, either nodal or mesh analysis may be used; generally, the method with the least unknowns to solve for is selected. For circuits that are non-planar, one can try to redraw the circuit in planar form; if this is not possible, one has no choice but to apply nodal analysis.
AC circuits All the techniques given above can be applied to single frequency AC circuits by using phasors represented as complex numbers for voltage and current and using complex impedance in place of resistance. AC circuits involving multiple frequencies can be analysed by transforming to the frequency domain, treating each frequency separately and superimposing the results. See wikibooks book on Phasors A phasor is a constant complex number representing the complex amplitude (magnitude and phase) of a sinusoidal function of time. ...
In mathematics, a complex number is a number of the form where a and b are real numbers, and i is the imaginary unit, with the property i 2 = −1. ...
Electrical impedance, or simply impedance, is a measure of opposition to a sinusoidal alternating electric current. ...
See also A voltage source, V, drives an electric current, I , through resistor, R, the three quantities obeying Ohms law: V = IR Ohms law states that, in an electrical circuit, the current passing through a conductor between two points is proportional to the potential difference (i. ...
Kirchhoffs circuit laws are a pair of laws that deal with the conservation of charge and energy in electrical circuits, and were first described in 1845 by Gustav Kirchhoff. ...
Named from Jacob Millman, in electrotechnics, Millmans Theorem is a useful method to simplify the solution of a circuit. ...
This article or section does not adequately cite its references or sources. ...
The Y-Δ transform (also written Y-delta or Wye-delta), Kennellys delta-star transformation, star-mesh transformation or T-Π(or T-pi) transform is a mathematical technique to simplify analysis of an electrical network. ...
Other fundamental engineering topics In physics, dynamics is the branch of classical mechanics that is concerned with the effects of forces on the motion of objects. ...
Thermodynamics (from the Greek θεÏμη, therme, meaning heat and δυναμις, dunamis, meaning power) is a branch of physics that studies the effects of changes in temperature, pressure, and volume on physical systems at the macroscopic scale by analyzing the collective motion of their particles using statistics. ...
Fluid dynamics is the sub-discipline of fluid mechanics dealing with fluids (liquids and gases) in motion. ...
Engineering economics, previously known as engineering economy, is a subset of economics for application to engineering projects. ...
In thermal physics, heat transfer is the passage of thermal energy from a hot to a cold body. ...
The Materials Science Tetrahedron, which often also includes Characterization at the center Materials science or Materials Engineering is an interdisciplinary field involving the properties of matter and its applications to various areas of science and engineering. ...
Strength of materials is materials science applied to the study of engineering materials and their mechanical behavior in general (such as stress, deformation, strain and stress-strain relations). ...
Statics is the branch of physics concerned with physical systems in static equilibrium, that is, in a state where the relative positions of subsystems do not vary over time, or where components and structures are at rest under the action of external forces of equilibrium. ...
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