It has been about 9 years since I took my circuits course and I'm struggling a little bit with this homework. I am getting i(t) and v(t) to be of the form X + Acos(wt) where X is a DC term and A is a constant. In order to find max values, I was thinking that taking the derivative and setting equal to zero is the right approach... Is this how anyone else approached the problem?
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2 comments:
Hi Olga,
I think using the first derivative test is the correct approach for finding the maximum value expressions (at least that's the approach I'm taking). By-the-way, I think your complete solution for i(t) and v(t) may be missing a sine term which comes from Euler's formula. You may want to check your initial ODEs. For example, my v(t) relationship is:
(d^2)v(t)/(dt^2) + ((w_0)^2)*v(t) = ((w_0)^2)*V, where w_0 is (L*C)^(-1/2)
Keith,
I knew that something was missing from my equation. I did get the same v(t) relationship, but applied Mr. Euler's identity incorrectly. Thanks for the helpful input!
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