- #1
Jamin2112
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Homework Statement
Basically, I have LQ''(t) + RQ'(t) + (1/C)Q(t)=0, and I'm supposed to
"Show that the ration of the charge Q between two successive maxima is given by exp(RTd/2L), where Td is the time between two successive maxima. The natural logarithm of this ration is called the logarithmic decrement.
Homework Equations
Dunno
The Attempt at a Solution
So I got a solution Q(t)=e(-Rt)/(2L) [ C1cos( (√(R2-4L/C) )/(2L)t) + C2sin( (√(R2-4L/C) )/(2L)t).
But I can't figure out how to find Td. I mean, I could always find t when dQ/dt=0; but then I'd have to plug two values of t back into Q(t) and find the difference, and ... So what's the right way to do this?