Superposition Powerpoint Notes

Superposition Powerpoint Notes - i = =15A 6 30 i = =10A 3...

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ECE 201 Circuit Theory I 1 Superposition Principle of “Superposition” When a linear circuit is excited by more than one independent source of energy, the total response is the sum of the responses to each source acting individually. To find the response due to each independent source suppress voltage sources by replacing them with short circuits (V=0). suppress current sources by replacing them with open circuits (I=0).
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ECE 201 Circuit Theory I 2 Example, page 130 of the text Find the branch currents in the circuit shown. V 120 V R1 6 Ohm R2 3 Ohm R3 2 Ohm R4 4 Ohm I 12 A i 1 i 2 i 3 i 4
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ECE 201 Circuit Theory I 3 Find the response to the voltage source V 120 V R1 6 Ohm R2 3 Ohm R3 2 Ohm R4 4 Ohm i 1 i 2 i 3 i 4 v 1 1 1 1 1 ' 1 ' 2 ' ' 3 4 v -120 v v + + = 0 6 3 2+ 4 v = 30V 120-30
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Unformatted text preview: i = =15A 6 30 i = =10A 3 30 i = i = 5A 6 ECE 201 Circuit Theory I 4 Find the response to the current source 3 3 3 4 4 3 4 3 4 v v v - v + + = 0 3 6 2 v - v v + +12 = 0 2 2 v = -12V v = -24V " 3 1 " 3 2 " 3 4 3 " 4 4-v 12 i = = = 2A 6 6 v-12 i = = = -4A 3 3 v - v-12- -24 i = = = 6A 2 2 v-24 i = = = -6A 4 4 i 1 ” i 2 ” i 3 ” i 4 ” v 3 v 4 R1 6 Ohm R2 3 Ohm R3 2 Ohm R4 4 Ohm I 12 A ECE 201 Circuit Theory I 5 Find the branch currents by adding the results due to each source ' " 1 1 1 ' " 2 2 2 ' " 3 3 3 ' " 4 4 4 i = i +i =15+2 =17A i = i +i =10- 4 = 6A i = i +i = 5+6 =11A i = i +i = 5- 6 = -1A V 120 V R1 6 Ohm R2 3 Ohm R3 2 Ohm R4 4 Ohm I 12 A i 1 i 2 i 3 i 4...
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