## Mathematics & Science
Learning Center |
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## Applications of Differential Equations## Electric Circuits## Exercises to Work by Yourself## Exercise B
Now let's look at a case where the electromotive force is no longer zero! In fact assume the following parameters: - inductance of 5 henrys
- resistance of 0 ohms
- capacitance of 0.01 farads
With -
*I*(0) = 0 amperes *q*(0) = 0 coulomb
The voltage source is no longer zero, however. In fact it is getting stronger as time goes by according to the formula: *E*(*t*) = 20*t*volts
Remember that the initial conditions cannot be used directly as given! Just
like before, the second one needs to be changed into an initial condition
involving
that we derived earlier. Use sol3 as the solution variable this time, plot on the
interval 0 ≤ Go to Let's go see what you should have gotten... |
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ODE Laboratories: A Sabbatical Project by Christopher A. Barker©2017 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA e-mail: cbarker@deltacollege.edu |