(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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(RT_{d}/2L), where T_{d}is the time between two successive maxima. The natural logarithm of this ration is called the logarithmic decrement.

2. Relevant equations

Dunno

3. The attempt at a solution

So I got a solution Q(t)=e^{(-Rt)/(2L)}[ C1cos( (√(R^{2}-4L/C) )/(2L)t) + C2sin( (√(R^{2}-4L/C) )/(2L)t).

But I can't figure out how to find T_{d}. 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?

**Physics Forums - The Fusion of Science and Community**

# Logarithmic decrement

Have something to add?

- Similar discussions for: Logarithmic decrement

Loading...

**Physics Forums - The Fusion of Science and Community**