Circuit Theorem
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Circuit Theorem

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Circuit Theorem Circuit Theorem Presentation Transcript

  • Chapter 4 : Circuit Theorem
    • 4.1 Superposition Theorem
    • 4.2 Source Transformation,
    • Thevenin’s and Norton’s
    • Theorem
    • 4.3 Maximum Power Transfer
    BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • Learning Outcomes
    • Discuss the Superposition Principles
    • Solve circuit problems using Superposition theorem
    • Apply the Source Transformation in the circuits
    • Carry out the Thevenin's and Norton's Theorem in the circuits
    • Describe Maximum Power Transfer
    BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • SUPERPOSITION THEOREM BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • Superposition Theorem
    • Superposition : the voltage across (or current through) an element in a linear circuits is the algebraic sum of the voltage across (or current through) that element due to each independent source acting alone.
    BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA Current Source  open circuit(0 A) Voltage Source  short circuit (0 V)
    • Step to apply:
      • Turn off all independent sources except one source. Find the output (voltage or current) due to that active source.
      • Repeat step 1 for each other independent sources.
      • Find the total contribution by adding algebraically all the contribution due to the independent source.
    Superposition Theorem BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
    • Determine I 0 using superposition
    Example 1 BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA (-0.4706 A)
    • Determine v x using superposition
    Exercise 1 BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA (12.5 V)
  • SOURCE TRANSFORMATION BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • Source Transformation
    • Source transformation : replacing a voltage source v s in series with a impedance Z by a current source i s in parallel with a impedance Z, or vice versa.
    BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • Source Transformation BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
    • Determine v 0 using source transformation
    Example 2 BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA (3.2 V)
    • Determine I x using source transformation
    Exercise 2 BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA (1.176 A)
  • THEVENIN’S THEOREM BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • Thevenin’s Theorem
    • Thevenin’s theorem : a linear two terminal circuit can be replaced by an equivalent circuit consisting of a voltage V Th in series with an impedance Z Th , where V Th is the open circuit voltage at the terminals and Z Th is the input or equivalent impedance at the terminals when the independent source are turned off.
    BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • Thevenin’s Theorem BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • Thevenin’s Theorem BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA Finding V Th and Z Th
  • Thevenin’s Theorem BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA Finding Z Th when circuit has dependent sources Z
  • Thevenin’s Theorem BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA Circuit with load
    • Determine the Thevenin equivalent at terminals a-b
    Example 3 BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA (R Th =6 Ω , V Th =20 V)
    • Determine the Thevenin equivalent at terminals a-b
    Exercise 3 BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA (R Th =0.44 Ω , V Th =5.33 V)
  • NORTON’S THEOREM BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
    • Norton’s Theorem : a linear two-terminal circuit can be replaced by an equivalent circuit consisting of a current source I N in parallel with an impendence Z N , where I N is the short circuit current through the terminals and Z N is the input or equivalent impedance at the terminals when the independent source are turned off.
    Norton’s Theorem BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • Norton’s Theorem BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • Norton’s Theorem BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA Finding Norton current I N .
  • Thevenin and Norton Equivalent BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
    • Determine the Norton equivalent at terminals a-b
    Example 4 BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA (R N =5 Ω , I N =7 A)
    • Determine the Norton equivalent at terminals a-b
    Exercise 4 BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA (R N =1 Ω , I N =10 A)
  • MAXIMUM POWER TRANSFER BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
    • Maximum power : transferred to the load when the load resistance equals the Thevenin resistance as seen from the load (R L = R Th )
    Maximum Power Transfer BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
  • Maximum Power Transfer BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
    • Determine
    • a) The value or R L for maximum power transfer
    • b) The maximum power transfer
    Example 5 BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA (R L =9 Ω , p max =13.44 W)
    • Determine
    • a) The value or R L for maximum power transfer
    • b) The maximum power transfer
    Exercise 5 BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA (R L =4.22 Ω , p max =2.901 W)
  • BEE1113 Chapter 4 : Circuit Theorem NH-credit to NHA
    • Q & A
    • Outcomes :
      • Discuss the Superposition Principles
      • Solve circuit problems using Superposition theorem
      • Apply the Source Transformation in the circuits
      • Carry out the Thevenin's and Norton's Theorem in the circuits
      • Describe Maximum Power Transfer
    • Reflection