Heat loss

why would there be heat loss in this , also capactior and inductors dont do heat loss? only resistors do
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30 Replies
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@Gyro Gearloose
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727
7272w ago
sure in dc but Xc=1/wc and w=0 in dc so Xc is max and thus ig all energy stored in capcitor will be in heat loss ? what's the ans
Gamertug
GamertugOP2w ago
B what why will energy stored be in heat loss its just energy stored
727
7272w ago
no idea
Gamertug
GamertugOP2w ago
heat loss would mean the energy left the circuit no? but here energy is still in capacitor
727
7272w ago
yeah im not sure about that too
Opt
Opt2w ago
Heat loss is equal to energy supplied by cell - energy stored in capacitor
Gamertug
GamertugOP2w ago
makes no sense , heat loss should be loss in energy of the circuit
Opt
Opt2w ago
No, the logic is, all losses must be due to heat and entropy. Though the resistance isn't explicitly mentioned, it's taken into consideration So energy supplied - energy stored gives you loss in energy
Gamertug
GamertugOP2w ago
the new energy supplied is stored so how will it get lost
Opt
Opt2w ago
Not all of it is stored. Q²/C energy is supplied, but only Q²/2C is stored, remember? Half of it is lost
Gamertug
GamertugOP2w ago
ooh wait i do remember something vaguely like this
Opt
Opt2w ago
Energy supplied is QV = Q(Q/C) But energy stored is 0.5CV² or Q²/2C
Gamertug
GamertugOP2w ago
can u remind me the reason i forgot of why half is lost
Opt
Opt2w ago
Heat loss. The maths behind it is integration
Gamertug
GamertugOP2w ago
Isnt Capacitor and Inductor and no loss component tho?
Opt
Opt2w ago
Heat loss + induction effort actually, but the latter is considered negligible compared to former
Gamertug
GamertugOP2w ago
like thats what i read only resistance gives heat loss
Opt
Opt2w ago
Circuit has some "implicit resistance"
Gamertug
GamertugOP2w ago
so for ideal no loss? but we take energy Q^2/2c for all capacitors ideal and non ideal alike
Opt
Opt2w ago
It's actually always gonna be there, but we don't want to complicate stuff so we say heat loss There's also polarisation loss, induction loss, dissipation of fields is always going to happen, magnetic field generation loss Lot of stuff
Gamertug
GamertugOP2w ago
ic
Opt
Opt2w ago
So just bundle it up and say 'entropy hogaya'
Gamertug
GamertugOP2w ago
ye
727
7272w ago
oh i had also fogotten about it wow i am cooked
Gamertug
GamertugOP2w ago
us Still don't get ans Energy diff is 3/2cv2 heat should be same 3/2
727
7272w ago
energy supplied is QV =CV^2 and energy stored is CV^2/2 and thus Us-Uc=CV^2/2
Gamertug
GamertugOP2w ago
at first Energy = 1/2CV^2 After 2V = Energy = 1/2C(2V)^2 = 2CV^2 energy diffrence = 3/2CV^2 this much energy is stored so this will also be the heat that is lost as both are half half mb i said 3/4 it should come 3/2 but still its 1/2
727
7272w ago
energy supplied by battery is CV^2 since U=QV and max charge on capacitor is 2CV and it has CV already so U=CV^2 and del U capacitor is Q^2/2C and capacitor is charged by CV by the battery now energy stored - supplied will be CV^2/2

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