1 / 31

EECS 70A: Network Analysis

Announcements: Announcements. EECS 70A: Network Analysis. Lecture 5. (Monster HW problem). i 1. 3 V. 3 V. 3 V. 3 V. 3 V. 3 i 1. 3 i 1. 7 W. 7 W. 7 W. 2 W. 2 W. 3 W. 7 W. 7 W. 5 W. 5 W. 7 W. 7 W. 7 W. 2 W. 3 W. 5 W. 7 W. 2 W. 7 W. 7 W. 7 W.

rsheets
Télécharger la présentation

EECS 70A: Network Analysis

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Announcements: Announcements EECS 70A: Network Analysis Lecture 5

  2. (Monster HW problem) • i1 • 3 V • 3 V • 3 V • 3 V • 3 V • 3 i1 • 3 i1 • 7 W • 7 W • 7 W • 2 W • 2 W • 3 W • 7 W • 7 W • 5 W • 5 W • 7 W • 7 W • 7 W • 2 W • 3 W • 5 W • 7 W • 2 W • 7 W • 7 W • 7 W • 7 W • 7 W • 7 W • 7 W • 7 W • 5 W • 7 W • 7 W • 7 W • 7 W • 7 W • 7 W • 3 A • 3 A • 3 A • 3 A • 3 A • 3 A • 3 A • 3 A • 2 i1 • + • + • + • + • + • + • + • - • - • - • - • - • - • -

  3. + + Nodal analysis (simplified) Nodal analysis (complete) • + • + • - • - Later in course: All our methods can also be used with these elements.

  4. + + Mesh analysis (simplified) Mesh analysis (complete) • + • + • - • -

  5. Diode Nodal/mesh analysis won’t work on this but… Radio wave detector is a diode. Behaves like: Solar cell is a diode. Behaves like: Detector • Vdc = 0.1 xVac • Vac • + • - b Nodal/mesh analysis works on these equivalent circuits!

  6. Transistors drain Nodal/mesh analysis won’t work on this but… gate source In some cases behaves like switch: In some cases behaves like potentiometer: In some cases behaves like VCCS: drain drain drain • R • 5 x Vgate • aR source source source • Rsd = (constant) x Vgate Nodal/mesh analysis works on these equivalent circuits!

  7. Nodal vs. mesh analysis Consider 2 examples, each with 2 resistors. For both problems, find i1, i2, V1, V2. Is it easier to solve for the currents or the voltages first? • i2 • i2 • i1 + + + • R1 • R2 • R2 • V1 • V2 • V2 - - - • i2 • i1 + + • R2 • i0 • R1 • V1 • V2 • 3 V • 3 A • + • - - - • i1 + • R1 • V1 -

  8. Notation: two elements in series Textbook chapter 2 notation: a • i • i + • R1 • V1 • R1 - • i • i b + • R2 • R2 • V2 - • i • i c c • Vab is the voltage drop across resistor 1 • V1 is the voltage drop across resistor 1

  9. Nodal analysis • Define a reference node. • Label remaining nodes a • i • R1 • i b • R2 • i c • Vab is the voltage drop across resistor 1

  10. Example (Ch. 2 notation) • R7 • R12 • R2 • R6 • R1 • R11 • i4 • i5 • i8 • i9 • i10 • i3 - - - - - - + + + + + + • V1 • V12 • V7 • V6 • V2 • V11 + + + + + + - - - - - - • i7 • i1 • i6 • i2 • R4 • R3 • R5 • V8 • V3 • V9 • V4 • V10 • V5 • 3 A • R8 • R9 • R10 • i11 • i12 Typical notation: V1 is voltage drop across R1. i1 is current through R1. Label voltages as drops across resistors.

  11. Same circuit: Nodal analysis • Define a reference node. • Label remaining nodes. • Apply KCL + ohm. • R7 • R12 • R2 • R6 • R11 • R1 • i4 • i5 • i3 • i9 • i10 • i8 • i2 • i1 • i7 • i6 • R3 • R4 • R5 • 3 A • R9 • R8 • R10 • i11 • i12 Typical notation: i1 is current through R1. (Same as before) V1 is voltage of node 1 relative to reference node. (Different from before)

  12. Kramer’s rule Solve for x,y,z in terms of known constants a1-3, b1-3, c1-3, d1-3:

  13. Determinants: Solve for x,y,z in terms of known constants a1-3, b1-3, c1-3, d1-3:

  14. Nodal analysis example • 7 W • 3 W • i3 • i4 • i5 • 2 W • 4 W • 2 A • i5 • i2 • i1

  15. Ground? ?

  16. Nodal analysis example • 7 W • 2 W • 3 W • 5 W • 5 A • 2 A • i1 • i2 • i3 • i4

  17. Questions?

  18. KCL examples From Lecture 3, Week 2: Find a relationship among i1,i2, i3,i4… • i1 • i3 • i2 • i8 • i4 • i7 • i5 • i6

  19. “Supernode” A node with a voltage source in it… • i2 KCL: • i3 • + • - • i1 • i4 Must define a supernode if a voltage source appears when doing nodal analysis… (unless one end of voltage source connected to reference node) • Define a reference node. • Label remaining nodes. • Apply KCL + ohm to all nodes and supernodes • Apply KVL to loop with voltage source

  20. Example nodal w/voltage source • 10 V • 2 W • 3 A • 5 A • + • 3 W • 2 W • -

  21. Questions?

  22. Example nodal w/voltage source • 5 W • 5 A • 3 W • 3 A • 2 W • 7 W

  23. Example nodal w/voltage source • 3 W • 2 W • 2 W • 4 W • 2 i1 • + • - • 10 V

  24. Symbol library • Iab • I=5 A + + a + a - - b b - a b

  25. Symbol library • + • + • - • i7 • i7 • i7 • 3 V • 3 i1 • 2 W • 3 A • 2 i1 • + • + • - 2 • - • - • + • -

  26. Symbol & circuit library

More Related