where \hat q symbolizes the maximum charge (or peak charge?).
I'll continue searching on Google, but until now I have found that expression I've posted here only once, unfortunately. It doesn't seem to be current.
Right, this is the differential equation of my RLC circuit:
L\ddot q+R\dot q+\frac 1Cq=0
Its solution is the following:
q(t)=\hat q\:e^{-\zeta t}\sin\left(\omega t+\varphi_0\right)
I'm sorry, but I'm a total newbie regarding electric oscillations and RLC stuff. I don't quite underastand what equations you have in mind. I don't think you meant the differential equation of a damped oscillation, did you?
I hope there is no misunderstanding: I believe the expression above is...
Hi,
How can you prove that, in a damped RLC circuit, the logarithmic decrement equals the period times the damping factor:
\delta=T\zeta
(I'm using \delta=\ln\frac{x(t_n)}{x(t_n+T)}\quad
\zeta=\frac{R}{2L}
)
Thanks in advance!
Thanks a lot for your answer!
The energy loss is \Delta E=Ri^2\Delta t, right? But is there another way (based more on experiments) to show that \zeta\propto R ?
I forgot to mention, that we dispose of an oscilloscope. Would it be then correct to say that the damping depends on the...
Hello,
I've got to prepare for a practical session and need some help with a problem: how (by what experiments) can you prove that the damping of a series RLC circuit depends on the value of the resistance (without basing oneself on any knowledge of the damping factor \zeta=\frac{R}{2L})...