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Lecture 5

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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  1. Lecture 5 Source Transformation Thevenin Equivalent Circuit Norton Equivalent Circuit

  2. Source Transformation Show that iS=vS/R for any RL

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

  4. Step-by-step simplification

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

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

  7. Example 4.9

  8. Simplified Circuit

  9. Thevenin Equivalent Circuit

  10. 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

  11. Determine vab Show that VTH=vab

  12. Determine iSCand RTH

  13. Example 4.10 Determine the Thevenin Equivalent Voltage

  14. Example 4.10 Determine the short circuit current Determine RTH

  15. 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

  16. If the network contains only independent soruces

  17. RTH

  18. RTH

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

  20. Derivation of Norton Equivalent Circuit

  21. Extra Credit Assignment Derive 4.1-4.3

  22. More about the Extra Credit Assignment

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