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Series - Parallel Circuits

Series - Parallel Circuits. ENTC 210: Circuit Analysis I Rohit Singhal Lecturer Texas A&M University. Definition. Series – Parallel circuits are networks that contain both series and parallel circuit configurations. General Approach for Solving.

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Series - Parallel Circuits

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  1. Series - Parallel Circuits ENTC 210: Circuit Analysis I Rohit Singhal Lecturer Texas A&M University

  2. Definition • Series – Parallel circuits are networks that contain both series and parallel circuit configurations.

  3. General Approach for Solving • Take a moment, before you start calculating. • The answer may be a lot simpler than reducing everything. • There may be many “time” and “energy” saving shortcuts to solve the problem. • Examine each region independently, before tying them together.

  4. Reduce and Return Approach • Applicable to all single source circuits.

  5. Currents in Loops (Remember KCL?)

  6. Currents in Loops (Remember KCL?) i1

  7. Currents in Loops (Remember KCL?) i2 i1

  8. Currents in Loops (Remember KCL?) i3 i2 i1

  9. Ladder Networks

  10. There are 2 approaches to solve this circuit Reduce Resistances using series parallel analysis Calculate current using current loops Ladder Networks

  11. Reduce Resistances?? That’s easy!!! Ladder Networks

  12. Calculate current using current loops Once you have the current through the source, you know the effective resistance Let’s do it!!! Ladder Networks

  13. When is “no load” observed? When R2 is infinitely large? Or when R2 is zero? No - Load R1 R2

  14. When is “no load” observed? When R2 is infinitely large? Or when R2 is zero? When R2 is infinite!!! No - Load R1 R2

  15. Voltage Divider Supply • What should I do if I want multiple voltage outputs from the same 9V battery?

  16. Voltage Divider Supply V1 R1 V2 R2 V3 R3

  17. What’s the value of V1, V2 and V3? 9V = V1 > V2 > V3 V1 R1 V2 R2 V3 R3 Voltage Divider Supply

  18. We cannot calculate V2 and V3 unless we know what load is connected to them The less the load, the closer they are to 9V. V1 R1 V2 R2 V3 R3 Voltage Divider Supply

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