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# eeng2009lec6 - 7.1 Superposition By Example EENG-2009 Part...

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EENG 2009 FS 2006 Part 7: Superposition 173 EENG-2009 Part 7. Superposition 7.1 Superposition By Example 7.2 Superposition With Dependent Sources Present The principle of superposition can be stated as follows. If a circuit composed of linear elements contains N independent sources, any element voltage or current in that circuit is composed of the sum of N contributions, each of which is due to one of the independent sources acting individually when all others are set equal to zero (deactivated). A deactivated independent current source is replaced with an open circuit. A deactivated voltage source is replaced with a short circuit. EENG 2009 FS 2006 Part 7: Superposition 174 7.1 Superposition By Example Example 1 Find v a Solution: Note that there are 3 sources: v S1 , v S2 , i S3 . We develop the solution in terms of these sources, arriving at an answer that contains the sources as literals . 6 Ω + 2 Ω 3 Ω v S1 i S3 + v a + – v S2 6 Ω + 2 Ω 3 Ω v S1 i S3 + v a + – v S2 v S1 KCL at the supernode: v a / 6 + ( v a – v S1 )/ 2 +

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eeng2009lec6 - 7.1 Superposition By Example EENG-2009 Part...

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