In each case, it is simpler not to use superposition if the dependent sources remain active. The proof of the theorem will be given in section l8. Norton s theorem states that any linear complex electrical circuit can be reduced into a simple electric circuit with one current and resistance connected in parallel. The current flowing through the short circuited terminals is called the norton s curren i n. Calculate the output voltage, v, when in open circuit condition no load resistormeaning infinite resistance. Isc is the shortcircuit current of the network and. Norton theorem is then applicable in the given problem provided r 1. Any twoterminal network consisting of resistors, fixed voltagecurrent sources and linear dependent sources is externally equivalent to a circuit. Find v th, r th and the load current flowing through and load voltage across the load resistor in fig 1 by using thevenins theorem. F i n d \ nnorton c u r r e n t i n and norton r e s i s t a n c e. The object is to solve for the current i in the circuit of fig. Nortons theorem states that it is possible to simplify any linear circuit, no matter how complex, to an equivalent circuit with just a single current source and parallel resistance connected to a load. Pdf on the number of total prime factors of an odd perfect number. A few examples clarify how sources are removed and total solutions obtained.
It is also worth noting that for large values of n, nortons explicit bound. Set v 0 1 v to excite the circuit, and then to find i 0. As far as its appearance from outside is concerned, any two terminal network of resistors and energy sources can be replaced by a parallel combination of an ideal current source isc and a resistor r, where. For understanding in depth regarding norton theory, let us consider nortons theorem examples as follows. Using the superposition theorem, determine the current through. Q1 find the norton s equivalent circuit across ab terminals for the circuit shown in figure 14. Easy step by step procedure with example pictorial views this is another useful theorem to analyze electric circuits like thevenins theorem, which reduces linear, active circuits and complex networks into a simple equivalent circuit.
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