Why thevenin's and norton's theorem are equivalant?

Answer 1

A thevenin's equivalent circuit uses a voltage source and the norton's equivalent circuit uses a current source.

Thévenin's 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 be applied to general impedances, not just resistors. The theorem was first discovered by German scientist Hermann von Helmholtz in 1853, but was then rediscovered in 1883 by French telegraph engineer Léon Charles Thévenin (1857-1926).

Norton's 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 resistors. The Norton equivalent is used to represent any network of linear sources and impedances, at a given frequency. The circuit consists of an ideal current source in parallel with an ideal impedance (or resistor for non-reactive circuits).

Norton's theorem is an extension of Thévenin's theorem and was introduced in 1926 separately by two people: Hause-Siemens researcher Hans Ferdinand Mayer (1895-1980) and Bell Labs engineer Edward Lawry Norton (1898-1983). Mayer was the only one of the two who actually published on this topic, but Norton made known his finding through an internal technical report at Bell Labs.

Answer 2

thevenin's and norton's theorems are equivalent.theoritically both can be derived from each other.if we consifder thevenin's equivalent circuit it consists of voltage source in series with thevenin's resistance .but an equivalent circuit can be obtained by replacing thevenin's voltage source by an equivalent current source with a resistance ioe thevenin's resistance in parallel which gives us norton's circuit.mathematicaaly both are interconvertible using ohm's law