What is Thevenin equivalent: Definition and 160 Discussions

As originally stated in terms of direct-current resistive circuits only, Thévenin's theorem states that, "For any linear electrical network containing only voltage sources, current sources and resistances can be replaced at terminals A-B by an equivalent combination of a voltage source Vth in a series connection with a resistance Rth."

The equivalent voltage Vth is the voltage obtained at terminals A-B of the network with terminals A-B open circuited.
The equivalent resistance Rth is the resistance that the circuit between terminals A and B would have if all ideal voltage sources in the circuit were replaced by a short circuit and all ideal current sources were replaced by an open circuit.
If terminals A and B are connected to one another, the current flowing from A to B will be Vth/Rth. This means that Rth could alternatively be calculated as Vth divided by the short-circuit current between A and B when they are connected together.In circuit theory terms, the theorem allows any one-port network to be reduced to a single voltage source and a single impedance.
The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances. It means the theorem applies for AC in an exactly same way to DC except that resistances are generalized to impedances.
The theorem was independently derived in 1853 by the German scientist Hermann von Helmholtz and in 1883 by Léon Charles Thévenin (1857–1926), an electrical engineer with France's national Postes et Télégraphes telecommunications organization.Thévenin's theorem and its dual, Norton's theorem, are widely used to make circuit analysis simpler and to study a circuit's initial-condition and steady-state response. Thévenin's theorem can be used to convert any circuit's sources and impedances to a Thévenin equivalent; use of the theorem may in some cases be more convenient than use of Kirchhoff's circuit laws.

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  1. J

    Engineering Calculating Current in Thevenin Equivalent Circuit?

    I trying to figure out a thevenin equivalent circuit I want to calculate the current I so I can't get the resistance for the thevenin equivalent. Im not 100% sure how to calculate I, can I use KCL on the node under the number -8.7V? http://img98.imageshack.us/my.php?image=curfc7.jpg
  2. D

    Engineering What is the Thevenin equivalent circuit?

    Homework Statement I really don't see how the Thevenin equivalent circuit is obtained from the one on the left. The way learned to find Thevenin equivalent circuit considers the circuit network in between 2 nodes. This one appears to have 3 nodes. And why is the thevenin resistance given as...
  3. W

    Engineering Phototransistor modeled as a Thevenin equivalent circuit

    Homework Statement you have a phototransistor that you have modeled as a Thevenin equivalent circuit. It has a output impedence(Thevenin Impedence) of 10kohm and produces a peak voltage o2 2V at a frequency of 80 MHz. The input impedence of the oscilloscope as this simple combination of input...
  4. O

    Engineering Finding Thevenin Equivalent Circuit

    Hello, I am working on the following problem: http://img155.imageshack.us/img155/2478/thevpo9.jpg I am stuck on this seemingly simple circuit problem. I've worked many Thevenin circuit problems in my introductory circuit analysis. This problem is from a new class and seems different...
  5. cepheid

    Find Thevenin Equivalent for Circuit - Basic Principles

    Homework Statement Find the Thevenin equivalent of the circuit shown below Homework Equations Nothing but basic principlesThe Attempt at a Solution Alright, I realize that it will take some time for the attachement to be approved, but it's a really simple circuit. It has just one loop...
  6. V

    CIRCUIT ANALYSIS: Non-Ideal OpAmp with 2 resistors - Find Thevenin Equivalent

    Homework Statement There is a non-inverting op-amp below. http://img291.imageshack.us/img291/8242/chapter5lastproblemea1.jpg The op-amp is NOT ideal. We assume that R_i\,=\,\infty, R_0\,>\,0 and A is finite. Find the general Thevenin equivalent circuit seen at the terminals...
  7. V

    Finding Thevenin Equivalent at Terminals a-b

    Homework Statement Find the Thevenin equivalent at terminals a-b of the circuit below. http://img153.imageshack.us/img153/6116/chapter4problem40ef4.jpg Homework Equations v = i R, KCL, KVL, R_{TH}\,=\,\frac{V_{OC}}{I_{OC}}.The Attempt at a Solution To get R_{TH}, I removed the independent...
  8. M

    Thevenin Equivalent: HW Problem Solution Check

    i have an attempted solution to a HW problem, and I want to know if it is right or wrong. Could you guys please help me out. I have attached the image as a pdf
  9. F

    Thevenin equivalent of a half-wave rectifier

    [SOLVED] Thevenin equivalent of a half-wave rectifier Hello folks, I'm trying to wrap my head around the process of reducing a half-wave rectifier (w/ filter) with an AC input into a simple Thevenin circuit with a DC equivalent voltage. My brain seems to be stuck in "but the input is not...
  10. cepheid

    Thevenin equivalent of a network

    Sorry for such a basic question, but I'm having trouble grasping the idea of why the Thevenin equivalent of a network (as seen from two terminals) almost always has a Norton equivalent in the form in which it has been defined. More specifically, I've been trying to work out from staring at the...
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