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Applications of Differential Equations

Electric Circuits

Exercises to Work by Yourself

Exercise C

(continued from last page...)

Next, try solving this one. Assume the following parameters:

  • inductance of 5/3 henrys
  • resistance of 10 ohms
  • capacitance of 1/30 farads

With initial conditions:

  • I(0) = 0 amperes
  • q(0) = 0 coulomb

The voltage source is now a constant 300 volts:

  • E(t) = 300 volts

Don't forget to use:

I'(0) = (E(0) - R I(0) - q(0)/C) / L

again to "fix" your initial conditions.

Use sol4 as the solution variable this time, plot on the interval 0 ≤ t ≤ 4, and make the plot blue.

Let's go see what you should have gotten...


Compass If you're lost, impatient, want an overview of this laboratory assignment, or maybe even all three, you can click on the compass button on the left to go to the table of contents for this laboratory assignment.
 
 

ODE Laboratories: A Sabbatical Project by Christopher A. Barker

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