Diffy Q's and Electric Circuits
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Does anyone have a useful, quick guide or pdf on how to derive differential equations from RLC electric circuits?
http://hackaday.com/2015/12/24/beyond-control-maths-of-a-control-system/
>>8052679
[math] V = R I[/math]
[math] V = L \frac{d I}{dt} [/math]
[math] V = C \int I \, dt [/math]
Or something like that.
Always mix up those last two
>>8052929
>http://hackaday.com/2015/12/24/beyond-control-maths-of-a-control-system/
Interesting, thanks!
The wikipedia page for rlc circuits actually had a decent derivation.
>>8052679
>gorilla.jpg
Not triggered.
>>8052679
PDE or gtfo
>>8052932
AKA
[math]
L\frac{d^2 Q}{dt^2} + R\frac{dQ}{dt} + CQ
[/math]
>>8055549
Err.. Q/C, sorry
>>8052679
>Does anyone have a useful, quick guide or pdf on how to derive differential equations from RLC electric circuits?
Just Laplace transform that shit.
Bump, I can't find a good start value for [math]Q[/math] in this DE:
[eqn] LQ'' + RQ' + \frac{Q}{C} = E(t) [/eqn]
>>8056639
Q(0)=0, Q'(0)=0
>>8056644
Thanks, everything's working now.