Mathematics & Science Learning Center
Computer Laboratory

Applications of Differential Equations

Electric Circuits

Exercises to Work by Yourself

Exercise D

(continued from last page...)

Now try this one. Assume the following parameters:

• inductance of 1 henry
• resistance of 2 ohms
• capacitance of 1/4 farad

With initial conditions:

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

The voltage source is now oscillating, according to the formula:

• E(t) = 50 cos t volts

Don't forget to use:

I'(0) = (E(0) - R I(0) - q(0)/C) / L

again to "fix" your initial conditions.

Use sol5 as the solution variable this time, plot on the interval 0 ≤ t ≤ 15, and make the plot blue.

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

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