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EE201 – Circuit Theory I 2019 – 2020 Fall Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK Lesson-III

ADNAN MENDERES UNIVERSITY FACULTY OF ENGINEERING Department of Electrical and Electronics Engineering. EE201 – Circuit Theory I 2019 – 2020 Fall Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK Lesson-III Simple Resistive Circuits. Summary.

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EE201 – Circuit Theory I 2019 – 2020 Fall Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK Lesson-III

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  1. ADNAN MENDERES UNIVERSITYFACULTY OF ENGINEERINGDepartment of ElectricalandElectronicsEngineering EE201 – Circuit Theory I 2019 – 2020 Fall Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK Lesson-III Simple Resistive Circuits

  2. Summary • KCL : The algebraic sum of all the currents at any node in a circuit equals zero • Kirchhoff’s Voltage Law (KVL) : The algebraic sum of all the voltages around any closed path in a circuit equals zero. EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  3. Ch3:Parallel &Series Connections • Two types of connections occur so frequently in circuit analysis that they deserve special attention. • Two elements are said to be connected in parallel when they form a loop containing no other elements. • In parallel connections, each element has equal voltages across its terminals. • In general, any number of elements connected between two common nodes are in parallel and as a result, the same voltage appears across each f them. EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  4. Ch3: Parallel Connections of Resistors • When N resistors are in parallel, You can prove it byusing KCL!! • Note that the equivalent resistance is always smaller than the resistance of the smallest resistor in the parallel connection. EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  5. Ch3: Series Connections of Resistors • When N resistors are in series, You can Prove it by using KVL!! • Note that the equivalent resistance is always larger than the resistance of the largest resistor in the series connection. EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  6. Example EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  7. Example EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  8. Ch3: Delta-to-Wye We compare the two networks ans make sure that the resistance Between each pair od nodes in the Δ (or Π) network is the Same as the resistance between the same pair of nodes in the Y (Or T) EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  9. Ch3: Series Connections of ResistorsSpecial Case – Delta-to-Wye (Pi-to-Tee) (-) Transformation EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  10. Ch3: Wye to Delta Conversion • Lets define the conversion formula for transforming a w ye network to an equivalent delta network, EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  11. Ch3: Voltage Current Divison • A Voltage Divider is nothing but a series connection of resistors. • The General expression of the voltage division rule is; EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  12. Ch2: Voltage Current Divison • A Curent Divider is nothing but a paralel connection of resistors. • The General expression of the current division rule is; EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  13. Ch3: Series Connections of Resistors EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  14. Ch3:Series Connections of Resistors EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  15. Ch3: Example EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  16. Ch3: Example What value of R would cause the current source to deliver 800 mW to the resistors? EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  17. Ch3: Example EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  18. Ch3: Example • Use current division to find the current i0 and use voltage division to find the voltage v0 for the circuit in Fig. I0=2A V0=18V EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  19. Ch3: Example • Find the power dissipated in the 6 ohm resistors shown in Fig. p=61.44W EE201-Circuit Theory I, Assoc. Prof. Dr. Olcay ÜZENGİ AKTÜRK,2018-2019 Fall

  20. END OF CHAPTER 3

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