# Thevenin Theorem Solved Problems

The emf of the voltage source is the open circuit emf at the network terminals, and the series resistance is the resistance between the network terminals when are sources are set to zero.Suppose we are given an arbitrary circuit containing any or all of the following elements: resistors, voltage sources, current sources (the source can be dependent as well as independent).Here, in this circuit is equivalent to the above circuit (with V1, V2, R1, R2, and R3) in which the load resistance R2 is connected across the terminals of thevenins equivalent circuit as shown in the circuit below.

The emf of the voltage source is the open circuit emf at the network terminals, and the series resistance is the resistance between the network terminals when are sources are set to zero.Suppose we are given an arbitrary circuit containing any or all of the following elements: resistors, voltage sources, current sources (the source can be dependent as well as independent).

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Then, we can model circuit A by an appropriate independent voltage source, call it V.

This series combination of a voltage source and a resistance is called the Thevenin’s equivalent of circuit A.

These network theorems include thevenins theorem, Norton’s theorem, Reciprocity theorem, Superposition theorem, Substitution theorem, and Maximum power transfer theorem.

Here, in this article let us discuss in detail about how to state thevenins theorem, thevenins theorem examples, and applications of thevenins theorem.

Any two-terminal network containing resistances and voltage sources and/or current sources may be replaced by single voltage spruce in series with a single resistance.To find out the thevenins resistance, the original circuit has to be considered and the load resistance has to be removed.In this circuit, similar to superposition principle, i.e., open circuit the current sources and short circuit voltage sources in the circuit.Thus, the equivalent circuit formed is termed as thevenins equivalent circuit (as shown in the above figure) having equivalent voltage source called as thevenins voltage and equivalent resistor called as thevenins resistance.Then, the equivalent thevenins circuit can be represented as shown in the above figure.Primarily, consider a simple example circuit with two voltage sources and three resistors which are connected to form an electrical network as shown in the figure below.In the above circuit, the V1=28V, V2=7V are two voltage sources and R1=4 Ohm, R2=2 Ohm, and R3=1 Ohm are three resistances among which let us consider the R2 resistor as load resistance.As we know that, based on the load conditions the load resistance is accordingly varied and thus, the total resistance has to be calculated based on how many resistors are connected in the circuit which is very critical.So, to make it easier thevenins theorem states that the load resistor has to be removed temporarily and then calculate the circuit voltage and resistance by reducing it to a single voltage source with a single series resistor.Now, we have dependent source, so method 1 cannot be used for finding Equivalent resistance Rth. Any black box containing resistances only and voltage and current sources can be replaced by a Thévenin equivalent circuit consisting of an equivalent voltage source in series connection with an equivalent resistance.

## Comments Thevenin Theorem Solved Problems

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