Abstract
As we are familiar with the star-delta transformation to determining the equivalent resistance [4] between any two terminals of a complex network and to find the overall current of a closed circuit, but sometimes circuit become too complex such that it consumes a lots of time while solving the network to find the equivalent resistance between two known terminals. So, here we have developed a new simplified approach for the solution to find the equivalent resistance between the desired terminals for equal resistance network and to find the overall current in a closed circuit.
Highlights
Whenever we have a complex resistive networks/circuits such that we cannot determine which branches of resistance are in parallel or in series, for that networks we have star-delta transformation approach[4] to find the equivalent resistance of that resistive networks
There have three instructions in this proposed algorithm by executing them step by step we can find the equivalent resistance of a complex network and can find the circuit current
A complex network shown in figure (4) [4], by star-delta transformation approach the equivalent resistance between terminal A and B comes out to be 0.5 ohm
Summary
Whenever we have a complex resistive networks/circuits such that we cannot determine which branches of resistance are in parallel or in series, for that networks we have star-delta transformation approach[4] to find the equivalent resistance of that resistive networks. Star-delta transformation derives the relations between star network to delta and delta to star network. By using these relations we can convert a complex network to simplest network as per the convenience in series-parallel combination and we can calculate the overall resistance of any network. As we have no other approach to simplify the complex networks, here we have generated a new methodology to solve the complex equal resistance network. The main purpose of introducing this new approach is to simplify the circuit more efficiently and to minimize the time consumption while attempting to solve it
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