Derive the Capacitor Charging Equation (Using 1st Order Differential Eqn for Voltage on Capacitor)

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vc(t) - voltage across capactior
vr(t) - voltage across resistor
ir(t) - current through resistor, which is the same as the current through the capacitor

Video Timeline
00:00 - Intro
00:15 - The RC circuit to analyze
01:15 - Start of vc(t) derivation
05:20 - vc(t) = Vs(1-exp(-t/RC))
05:49 - vr(t) = Vs(exp(-t/RC))
06:10 - Equations for vc(t), vr(t) and ic(t)
06:29 - Qualitative analysis of what happens when capacitor is charging
08:45 - Graphs of vc(t), vr(t) and ic(t) as capacitor charges

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  1. ElectronX Lab
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Комментарии
Автор

Was hard to find people who cared to explain how we arrived at this formula, thank you for doing that, sir.

borispasternak
Автор

I don't quite understand why a definite integral is used here. Could someone explain? 3:09

jubliano
Автор

Hi. I don't understand why there is a negative sign at 3:14.

lesnerchai
Автор

Thank you. Would it be possible to show the integration step in a future video?

iwbnwif
Автор

skipped a whole section of the workings at 3:12 of the video. didnt show us how to integrate

diego
Автор

you should show why i=c dv/dt after all you are teaching .

sajidrafique