Mathematics & Science Learning Center
Computer Laboratory

Applications of Differential Equations

Electric Circuits

Exercises to Work by Yourself

Exercise E

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Solve the following problem, which has been worded so that you have to go through it carefully in order to glean the necessary information.

A circuit has a 9 volt battery as a voltage source. The values of the components are a 5 ohm resistor, a 6 henry inductor, and a 1 farad capacitor. Initially the charge on the capacitor is 1 coulomb, and the current is zero amperes. Find and graph the current as function of time on the interval 0 ≤ t ≤ 20.

You may need to refer back to the other exercises you have already completed in order to check on the steps you took.

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

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