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### Chapter 12

Thevenin, Norton and Maximum Power Transfer Theorems

Thevenin’s Theorem

- Why Thevenin’s Theorem is useful

What is Thevenin’s Theorem?

- Everything in the original circuit, except the load, maybe replaced by an equivalent circuit. The equivalent circuit consists of a series combination of a voltage source and a resistance.

Steps to make a Thevenin Circuit

Write these on white board

Calculating RTHEVENIN (RTH)

RTH = 5kΩ

Calculating VTHEVENIN (VTH)

VTH = 10V

Equivalent Thevenin Circuit

Now you can place any load in the circuit you want and the calculations are EASY!

.66mA

=10kΩ

Using the Thevenin Theorem

Determine RTH

Solving for RTH

What is the resistance from point a to b?

Random Video of the Day

- http://www.youtube.com/watch?v=SWWt9IC7mGs&NR=1&feature=fvwp
- https://www.facebook.com/photo.php?v=133641650156241

Norton’s Theorem

- Everything in the original circuit, except the load may be replaced by an equivalent circuit. The equivalent circuit consists of a parallel combination of a current source and a resistance.

Norton Shortcut

- There are a bunch of rules for how to calculate the Norton Current and Norton Resistance. However, a shortcut is to find the Thevenin Equivalent circuit and then convert it to a Norton

Other Circuit Analysis Techniques

- Besides using traditional circuit analysis using Ohm’s Law, or Superposition, Mesh Analysis, Thevenin’s Theorem, and Norton’s Theorem, there are other circuit analysis techniques. A couple include:
- Nodal Analysis and Millman’s Theorem

Do more hw problems from back of chap 12 (9, 10, 11, or 12) if time

Practice Problem

- In the following circuit solve for VTH, RTH, IN, RN, IL and VL

Another Practice Problem

Solve for VL using traditional Ohm’s Law technique, Mesh Analysis, and Thevenin Analysis

Maximum Power Transfer

- See notes

What load resistor would you use for the following circuit to have max power transferred?

What load resistor would you use for the following circuit to have max power transferred?

?

What circuit analysis technique can we use to solve for this?

Thevenin’s Theorem. RTH = 5kΩ

I’ve checked this technique using Ohm’s law and it works. See following numbers:

5mW @ 5kOhm

4.94mW @ 4kOhm

4.96mW @ 6kOhm

What load resistor would you use for the following circuit to have max power transferred?

Switches

SPST SPDT DPST DPDT

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