Chapter 9 Network Theorems Superposition Thévenin’s Theorem Norton’s Theorem Maximum Power Transfer Theorem 2
Superpostion - Introduction What’s the current on R 4? 3
Superpostion - Introduction What’s the current on R 4? 4
Superpostion The superposition theorem can be used to find solution to networks with many sources. 5
Superpostion 6
Superpostion 7
Example 1 8
Example 1 - continued 9
Example 2 10
Thévenin’s theorem permits the reduction of complex networks to a simpler form for analysis and design. 11
Thévenin’s theorem - Example Find the Thevenin equivalent circuit for the shaded area. Step 1: Remove that portion of the network where the Thévenin equivalent circuit is found. Step 2: Mark the terminals of the remaining two-terminal network. 12
Thévenin’s theorem - Example 13
Thévenin’s theorem - Example 14
Thévenin’s theorem - Advantage 15
Thévenin’s theorem - Experimental Procedures 16
Thévenin’s theorem – Example 2 17
Thévenin’s theorem – Example 3 18
Thévenin’s theorem – Example 4 19
Thévenin’s theorem – Example 4 20
Thévenin Resistance – Alternative Method The Thévenin resistance can also be determined by placing a short circuit across the output terminals and finding the current through the short circuit. 21
Norton’s Theorem 22
Norton’s Theorem – Example 1 23
Norton’s Theorem – Example 2 24
Norton’s Theorem – Example 3 25
Maximum Power Transfer Theorem 26
Maximum Power Transfer Theorem 27
Maximum Power Transfer Theorem 28
Maximum Power Transfer Theorem 29
Maximum Power Transfer VS Efficiency The Maximum Power Transfer Theorem results in maximum power transfer across the circuit, and not maximum efficiency. 30