Electrical Engineering ⇒ Topic : Nortons Theorem with sinusoidal excitation

Samual
 
Norton's Theorem Another method of analysing a complex impedance circuit is given by Norton's theorem. The Norton equivalent form of any complex impedance circuit consists of an equivalent current source I_{N} and an equivalent impedance Z_{N}, arranged as shown in Fig. (a). The values of equivalent current and impedance depend on the values in the original circuit.
figure (a) Though Norton's equivalent circuit is not the same as its original circuit, the output voltage and current are the same in both cases; Norton's current is equal to the current passing through the short circuited output terminals and the value of impedance is equal to the impedance seen into the network across the output terminals
figure (b) Consider the circuit shown in Fig. (b).Norton's equivalent for the circuit shown in Fig.(b) between points A and B is found as follows. The current passing 3 through points A and B when it is shortcircuited is the Norton's equivalent current, as shown in Fig. (c). Norton's current I_{N} = V/Z_{1} figure (c) The impedance between points A and B, with the source replaced by a short circuit, is Norton's equivalent impedance. In Fig.(B), the impedance from A to B,Z_{2} is in parallel with Z_{1} _{} Norton's equivalent circuit is shown in Fig. (d) figure (d) The advantages seen with Thevenin's theorem apply to Norton's theorem. If we wish to analyze load resistor voltage and current over several different values of load resistance, we can use the Norton's 3 equivalent circuit again and again, applying nothing more complex than simple parallel circuit analysis to determine what's happening with each trial load.This theorem is not applicable to circuits consisting of nonlinear elements and not valid to unilateral circuits. This theorem is not valid where the magnetic coupling 3 exists between load and the circuit _{} _{}  
 
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