Capacitor mechanics

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21 Replies
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@Gyro Gearloose @Gyro Gearloose
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CorrodedCoffin
CorrodedCoffinOP3mo ago
how do i find the final charge on capacitor the solution directly uses the final capacitance of the system but i use dq = dc.V where dc= A epsilon/d where d is distance between the plates dq= AVepsilon/d and then integrate with d ranging from do to d1 q = AVepsilonln(d1/do)
coolguy.
coolguy.3mo ago
Your dC consideration is wrong C=Ae/x => dC= -Ae.dx/x^2 Now integrate This is dimensionally incorrect
CorrodedCoffin
CorrodedCoffinOP3mo ago
oh dC galat likha meine this gives q = AeV/d1 - AeV/do still feels wrong are my limits wrong?
coolguy.
coolguy.3mo ago
dx also take as -dx since dist will reduce The other wave around Actually doesn't matter
Imine
Imine3mo ago
wait why u doing that
CorrodedCoffin
CorrodedCoffinOP3mo ago
cuz u cant just get final charge directly using final state intermediate condition nahi consider karte? i might be wrong capacitor thoda weak hai
Imine
Imine3mo ago
hm idk i think final state ka hi C and V se Q nikaalenge but mera bhi capcitor weak hi hai
CorrodedCoffin
CorrodedCoffinOP3mo ago
why so?
Imine
Imine3mo ago
at the equilibrium position C and V is fixed so wouldnt charge flow until charge increases to Q/C = V?
CorrodedCoffin
CorrodedCoffinOP3mo ago
at do V=0 . then V is applied and do starts to decrease due to little little charge getting accumulated. eventually eqbm is at d1
Opt
Opt3mo ago
@hardcoreisdead does this help?
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Opt
Opt3mo ago
I'm considering that the time taken for charge to be induced initially is negligible
CorrodedCoffin
CorrodedCoffinOP3mo ago
ig thats the only explanation then otherwise entire capacitors chapter would collapse lol
SirLancelotDuLac
Isn't V variable here? Sorry, I'm dumb 🤦‍♂️
Opt
Opt3mo ago
If there is a source connected, then won't the source act to maintain the voltage?
SirLancelotDuLac
Yeah, I forgot about that part.
CorrodedCoffin
CorrodedCoffinOP3mo ago
+solved @Opt
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