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superposition

# superposition - R Hannemann Superposition Learning...

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Unformatted text preview: R. Hannemann Superposition - Learning Objectives - Be able to use the concept of Superposition to analyze circuits 06/22/06 Li n earity Superposition works only with linear circuits. Definition of Linearity: f(ax+by)=af(x)+bf(y) Therefore we can use Superposition to find: Therefore we cannot use Superposition to find: 06/22/06 EE305 Spring 2006 R. Hannemann Li n earity Superposition works only with linear circuits. Definition of Linearity: f(ax+by)=af(x)+bf(y) Therefore we can use Superposition to find: Voltage, Current Therefore we cannot use Superposition to find: 06/22/06 Li n earity Superposition works only with linear circuits. Definition of Linearity: f(ax+by)=af(x)+bf(y) Therefore we can use Superposition to find: Voltage, Current Therefore we cannot use Superposition to find: Power P=RI2 06/22/06 EE305 Spring 2006 R. Hannemann Principle of Superposition Each voltage and current in a circuit can be computed by: subsequently turning off all the sources (voltage or current) but one, analyzing the circuit with that single source to find the unknown voltages and currents, and add the individual results obtained for all the sources in the circuit. 06/22/06 5 Turn off Sources To set an ideal voltage source to zero: To set an ideal current source to zero: 06/22/06 6 EE305 Spring 2006 R. Hannemann Turn off Sources To set an ideal voltage source to zero: replace by a short circuit. To set an ideal current source to zero: 06/22/06 Turn off Sources To set an ideal voltage source to zero: replace by a short circuit. To set an ideal current source to zero: replace by an open circuit. 06/22/06 EE305 Spring 2006 R. Hannemann 06/22/06 06/22/06 EE305 Spring 2006 Vs=10V, Is=2A, R1=5.Q, R2=2.Q, R3=4Q Zero Current Source V =—‘=ﬂ=O.909A ’ R1+R2+R3 119 121 10 R. Hannemann 06/22/06 06/22/06 EE305 Spring 2006 Zero Voltage Source 1 15 R+R _ 1 2 13 (—Is)=1 6 1 (—2A)=—0.909A —+ —S+—S 1 R2+R3 5 6 IZ=IZJ+IZJ=OA 11 12 ...
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