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Old 15th Nov 2017, 2:42 pm   #20
Al (astral highway)
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Default Re: Transcendental magic: Schade's peak voltage equation and my discovery!!

Quote:
Originally Posted by Argus25 View Post

For example if you did what Otto did and you want to know the amplitude of the voltage peak at 1/4 of a cycle in (when the capacitor voltage peaks), the angle into the oscillation is wt, where w = 2.pi.f and t is time, so:

you make wt = pi/2, this obviously makes the time t = pi/2w, which is the time from when the switch opens to the voltage peak 1/4 of a cycle in to the oscillations.

So if you substitute this time of pi/2w seconds into the general form of the exponential decay equation where the value is -tR/2L

you get:
- piR/4wL
Hey Hugo,

This is incredibly useful and detailed analysis. Thank you, I will turn my attention to using the relevant equation to find the voltage 90 degrees into a cycle!
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