|Sep8-05, 03:41 PM||#1|
RLC circuits and frequency
I'm not sure what to do for this question. I have found a few things of relevancy but i'm making the problem more complex than it really is?
A leyden jar of capacitance C=10^-9 farads is short circuited with a copper wire of self-inductance L=3 x 10^-7 and resistance R=5x10^-3 ohms.
find the frequency in cycles per second (angular frequency divided by 2 Pi) of the (gradually decaying) oscillatory current.
Do i need to use these values in the form ax'' + bx' + cx = f(t). If so what is f(t) meant to represent?
find the number of oscillations per e-folding of the gradual decay. (i.e. in the time that the amplitude reduces from a to a/e).
I'm not sure what this question means, how do the e-foldings relate to this?
Any help is appreciated. I'm fairly sure i could do this question if i knew the relationship. Am i missing the obvious?
|Oct7-05, 08:04 PM||#2|
This is electrical circuit analysis. Here are the steps:
1. Draw a picture of the circuit
2. Write the differential equation associated with the circuit
3. Solve the differential equation - it will be a decaying sinusoid
Have you done any circuit analysis?
|Oct7-05, 08:10 PM||#3|
Try doing what hotvette has already suggested if you haven't.
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