Lecture 5
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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).

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Lecture 5

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Lecture 5

Source Transformation

Thevenin Equivalent Circuit

Norton Equivalent Circuit


Source Transformation

Show that iS=vS/R for any RL


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


VTh

  • If RL=∞, then Vab=VTH

  • If RL=0, the short circuit current from a to b (i.e. iab) should equal to isc=VTh/RTH.

  • So RTH=VTh/isc


Determine vab

Show that VTH=vab


Determine iSCand RTH


Example 4.10

Determine the Thevenin Equivalent Voltage


Example 4.10

Determine the short circuit current

Determine RTH


Methods of Finding RTH

  • RTH=VTH/iSC

  • 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


RTH


RTH


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 4.1-4.3


More about the Extra Credit Assignment


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