Superposition

Superposition - Using the Principle of Superposi3on...

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Unformatted text preview: Using the Principle of Superposi3on For Circuits with Mul3ple Sources DePiero EE 201 Learning Objec3ves •  Apply the principle of superposi3on to analyze circuits with mul3ple independent sources. •  Note: All linear systems permit analysis via superposi1on. Procedure: Analysis via Superposi3on •  1) Ac3vate sources one at a 3me, performing a separate analysis for each source. •  2) Sum the response associated with each individual source. •  Replace inac3ve sources appropriately: –  Inac3ve V ­source replaced with a ‘short circuit’ ( just a wire) –  Inac3ve I ­source replaced with an ‘open circuit’ (disconnected wires) Example: Analysis via Superposi3on −20 + 5 IT + 10 = 0 •  Consider a baUery charging. € •  Analyze circuit € directly & via superposi3on. IT = 2 A −20 + 5 IA = 0 IA = 4 A –  Use KVL each €ase c € •  For superposi3on, sum IT = IA + IB 5 IB + 10 = 0 IB = −2 A € This example illustrates the concept only. Superposition doesn’t reduce work in this case. € ...
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• Spring '08
• ARAKAKI
• Using00  the00, linear00  systems00, Circuits00  with00, principle00  of00, individual00  source, Analysis00  via00

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