I've started looking at the HW and have viewed all the comments on the blog but am having trouble starting the HW. I don't remember solving differential equations of circuits in ECEN5797. Is there a section I could read in the book to brush up on this? Here is what I have right now. Could anyone give me a nudge in the right direction.
V-v(t)=Ldi(t)/dt and i(t)-I=Cdv(t)/dt
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2 comments:
Hi Jares,
Your equations are correct. I don't think you'll find a section in the 5797 book that covers solving them though. But this is no problem, take a look at wikipedia (LC circuit), this will give you a decent overview and starting place. If you don't have an old circuits book handy, you can do no wrong with a calculus book. You can derive the solutions using substitution, Euler's formula, then finding Homogeneous/Particular solutions, this kind of thing. If you want to go this path, your next step is to substitute one of your equations into the other based on relationships between i_c(t), i_L(t) and v_c(t), v_L(t) until you have a differential equation based on one independent variable (an ODE). Hope that helps.
Solving differential equations is not covered in ECEN5797. This is undergraduate introductory circuits or calculus materials. Please review your (old) textbooks, or on-line materials (e.g. wikipedia, as Keith suggested)
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