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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

Lecture 5

Source Transformation

Thevenin Equivalent Circuit

Norton Equivalent Circuit


Source transformation
Source Transformation

Show that iS=vS/R for any RL


Application
Application

Determine whether the 6V source is

absorbing or delivering the power.



Redundant resistor 1
Redundant Resistor (1)

Prove that the left circuit and the right circuit are

equivalent for any load resistor.


Redundant resistor 2
Redundant Resistor (2)

Prove that the left circuit and the right circuit are equivalent for any load resistor.




Thevenin equivalent 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 v ab
Determine vab

Show that VTH=vab


Determine i sc and r th
Determine iSCand RTH


Example 4 10
Example 4.10

Determine the Thevenin Equivalent Voltage


Example 4 101
Example 4.10

Determine the short circuit current

Determine RTH


Methods of finding r th
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



RTH


RTH


Norton equivalent circuit
Norton Equivalent Circuit

  • A Norton Equivalent circuit consists of

    • Short-Circuit Current

    • Norton Equivalent Resistance, which is equal to Thevenin Equivalent Resistance



Extra credit assignment
Extra Credit Assignment

Derive 4.1-4.3



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