Lecture 5 Source Transformation Thevenin Equivalent Circuit Norton Equivalent Circuit.

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Presentation transcript:

Lecture 5 Source Transformation Thevenin Equivalent Circuit Norton Equivalent Circuit

Source Transformation Show that i S =v S /R for any R L

Application Determine whether the 6V source is absorbing or delivering the power.

Step-by-step simplification

Redundant Resistor (1) Prove that the left circuit and the right circuit are equivalent for any load resistor.

Redundant Resistor (2) Prove that the left circuit and the right circuit are equivalent for any load resistor.

Example 4.9

Simplified Circuit

Thevenin Equivalent Circuit

V Th If R L =∞, then V ab =V TH If R L =0, the short circuit current from a to b (i.e. i ab ) should equal to i sc =V Th /R TH. So R TH =V Th /i sc

Determine v ab Show that V TH = v ab

Determine i SC and R TH

Example 4.10 Determine the Thevenin Equivalent Voltage

Example Determine the short circuit current 2.Determine R TH

Methods of Finding R TH R TH =V TH /i SC If the network contains only independent soruces: – Deactivate a voltage source by replacing it with a short – Deactivate a current source by replacing it with an open If the network contains dependent sources – Apply a test source

If the network contains only independent soruces

R TH

Norton Equivalent Circuit A Norton Equivalent circuit consists of – Short-Circuit Current – Norton Equivalent Resistance, which is equal to Thevenin Equivalent Resistance

Derivation of Norton Equivalent Circuit

Extra Credit Assignment Derive

More about the Extra Credit Assignment