1 / 12

Circuit Analysis

Circuit Analysis. Chapter 18 AP Physics: M. Blachly. Review. What is the total resistance of this circuit? Find the current that flows out of the battery. What is the power dissipated in the 200 ohm resistor?. A new problem:. What is the power dissipated in the 200 ohm resistor?.

gizela
Download Presentation

Circuit 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. CircuitAnalysis Chapter 18 AP Physics: M. Blachly

  2. Review • What is the total resistance of this circuit? • Find the current that flows out of the battery. • What is the power dissipated in the 200 ohm resistor?

  3. A new problem: • What is the power dissipated in the 200 ohm resistor?

  4. Kirchoff’s Laws • The Basic Idea: • What goes in must come out. • If you walk a complete loop around the block, you must end up back where you started. • Restated in terms of current and voltage • The sum of the currents in any junction must be equal to zero • The sum of the voltage drops around any closed loop must be zero.

  5. Application to first Problem

  6. Kirchoff’s Laws • The sum of the currents in any junction must be equal to zero • Pick a direction for the current in each branch and label it. Don’t worry if you are wrong: the solution will fix that • The sum of the voltage drops around any closed loop must be zero. • Going in the direction of your current, the voltage will drop through a resistor. If going opposite I, the voltage will increase. • Going backwards through a battery will drop the voltage.

  7. Kirchoff’s Results • The application of Kirchoff’s Laws will yield n equations with n unknowns. We can solve these equations by • Substitution • Elimination • Matrix operations.

  8. Equations • We can now use K’s laws to find the system of equations that describe our circuit:

  9. Matrices and the Ti-8x • Nice reference for entering matrices on your calculator: • http://www.itc.csmd.edu/mth/ti83/matrix/enter.htm • Followed by one for operations on matrices: • http://www.itc.csmd.edu/mth/ti83/matrix/rref.htm

  10. Matrix Representation

  11. Matrix Operations • Putting the matrix in Reduced Row Echelon form yields

  12. Example 2: Your turn

More Related