in conclusion,
Norton's theorem is the current equivalent of Thevenin's theorem.
find current throrgh RL by using menemims
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
While some feel that Thevenin's (commonly misspelled as Thevinin's) Theorem is made invalid by dependent sources, rather than independent sources, most hold his theories valid. This is largely due to the superposition theorem, proven by combining Thevenin's theorem with Norton's.
I believe you are asking what is THEVENIN's theorem instead?
Yes it is applicable in both. With transient analysis, it is standard to use thevenin or norton equivalents to minimize the circuit before calculating the transient response.
By using Thevenin's theorem we can make a complex circuit into a simple circuit with a voltage source(Vth) in series with a resistance(Rth)
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.
Yes, if the rheostats are replaced by three incandescent lamps, you can still verify Thevenin's theorem. Thevenin's theorem states that any linear circuit can be replaced by an equivalent circuit consisting of a voltage source and a series resistor. By analyzing the behavior of the circuit with the incandescent lamps, you can determine the Thevenin equivalent circuit and verify the theorem.
thevenins theorem is applicable to network which is linear ,bilateral
Thevenin's theorem is a basic equivalence principle for circuit design. It can simplify a very complex circuit to a very simple equivalent. This is done by finding the Thevenin Resistance as well as the Thevenin voltage and current. Once these are known, the equivalent circuit is simply a voltage source in series with a resistance.
If this is an independent current source, it has to be disconnected.Independent voltage sources are replaced by a short-circuit.More about this at (see Related links):MasteringElectronicsDesign.com: How to Apply Thevenin's Theorem - Part 1, Solving Circuits with Independent SourcesandMasteringElectronicsDesign.com: How to Apply Thevenin's Theorem - Part 2. Nested Thevenin Sources Method