Introduction This introduces important fundamental theorems of network analysis. These are - Maximum power transfer theorem Norton’s theorem Superposition theorem Thévenin’s theorem
Maximum Power Transfer Theorem
Maximum Power Transfer Theorem
Experimental procedure First we provide a source 12 volt . Connect ammeter with milli ampere. Connect voltmeter with output voltage . Connect multimeter with variable resistance and try to set a 2k ohm. Finding load resistance and thevnin voltage . For finding load resistance we short circuit all independent source then we calculate load resistance . For thevnin voltage we remove load resistance then we find voltage across load resistance .
Norton’s Theorem Statement: Any linear dc circuit can be simplified to an equivalent circuit consisting of a single current source parallel resistance that is connected to a load. I N is single current source known as Norton’s Current and R N is known as Norton’s Resistance. Advantages of Norton’s Theorem: Simplification: It simplifies the analysis of complex circuits with multiple sources and components. Flexibility: It provides an alternative method for circuit analysis, complementing Thévenin’s Theorem. Practical applications: It is especially useful in power systems and communication circuits where parallel connections are predominant.
Norton’s Theorem step by step procedure using example: Solution: Steps: Remove that portion of the network across which the Norton equivalent circuit is found. Mark the terminals of the remaining two-terminal network.
III. Calculate R N : Replace all voltage sources with short circuits and all current sources with open circuits. Then, calculate the equivalent resistance across the marked terminals. (If the internal resistance of the voltage and/or current sources is included in the original network, it must remain a b when the sources are set to zero.) .
V. Draw the Norton equivalent circuit with the portion of the circuit previously removed replaced between the terminals of the equivalent circuit. Here Norton’s equivalent circuit for the network external to the resistor R L is shown.
Superposition Theorem
Q. Determine the current through the 4 ohm resistor?