Theorem of electrical circuit

The theorem of an electrical circuit 

Type of Theorem

1.    Superposition theorem.

2.    Thevenin theorem.

3.    Nortons theorem.

4.    Maximum power transfer theorem.

5.    Reciprocity theorem.

1)    Superposition theorem

  Statement of superposition theorem – 

The superposition theorem state that in any linear network containing two or more sources the responses (current) in any element is equal to the responses (current) in any element is equal to the algebraic sum of the response caused by individual sources acting alone, while the other sources are inoperative.

2)    Thevenin theorem.

  Statement of Thevenin theorem -

Any network containing active and/or passive element and one or more dependent and independent voltage and/or current sources can be replaced by an equivalent network containing voltage sources and a series resistances.

3)    Norton's Theorem

  Statement of Norton's Theorem-

Any linear, active, resistive, network containing one or more voltage and /or current sources can be replaced by an equivalent circuit containing one or more voltage and/or current sources can be replaced by an equivalent circuit containing current sources called Northan's equivalent resistances I parallel.

4)    Maximum power transfer theorem

  Statement of Maximum power transfer theorem -

The maximum power transfer theorem state that the maximum amount of power will be delivered to the load resistance when the load resistances are equal to the Thevenin/Norton resistance of the network supplying the power.

5)    Reciprocity Theorem

  Statement of Reciprocity Theorem-

In any linear network consisting of linear and bilateral impedances and active sources the ratio of voltage v introduced in one loop to the current I in the other loop is same as the ratio obtained if the position of V and I are interchanged in the network the sources other than one considered must be replaced by their internal impedances while calculating the ratio V.