Hi, Series RLC (underdamped) Can anyone solve this equation? 2.5 = (500)e-62.5t( 0.5 cos496t + 0.19sin496t) Here is the waveform with 2.5V marked. How do I get t for that value of V(t). http://www.freeimagehosting.net/image.php?33429cc878.jpg Any help will be appreciated.
Sorry for being vague but What is the equation of the curve that joins the peaks of this wave(the one shown in the picture)?
If thats the case then why doesnt the equation satisfy the 2nd peak? http://www.freeimagehosting.net/image.php?3110f88e93.jpg (peak shown)
Putting t = 26.4ms in y=250*exp(-62.5t) gives 48, it should give 59.2V according to the graph. btw, R = 500 ohms, L = 4H, C = 1 uF
You say your plot is marked at 2.5 Volts? It is actually marked at 59.2 Volts. If you desire to know the value of (t) at 2.5 Volts then specify at which time? Please specify the initial conditions-I took a guess as -->source is zero, i(0)=0.5 Amps and Vc(0)=377 Volts? Or di(0)/dt could also have been given instead as 94.24 assumming your A1, A2 are correct?