Electric potential doubt

Doubt in Q27 how is electric heating related to electric potential? This is from cengage chapter 3 Heating effect is in chapter 6
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@Gyro Gearloose
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Fusion
FusionOP2w ago
I don't even know where to start Maybe conservation of energy somehow?
Opt
Opt2w ago
I'm pretty sure it's a weird way of asking energy change
Fusion
FusionOP2w ago
Oh I see
Opt
Opt2w ago
Which makes sense sort of
Fusion
FusionOP2w ago
So is it related to self energy somehow then? Because that's the only thing I can think of related to this Also wouldn't this be assuming that all of the energy is converted to heat
Opt
Opt2w ago
q = it H = i²rt = Vit = Vq Where V is potential difference.
Fusion
FusionOP2w ago
The last time I did this was in grade 10. I mean, heat is taught afterwards and cengage doesn't mix concepts like that. Shouldn't there be another way
Opt
Opt2w ago
Ok, conservation of energy i suppose.
Fusion
FusionOP2w ago
How tho Assuming 100% of energy is in heat. How
Opt
Opt2w ago
Original energy is going to be partially stored in the spherical capacitor system, and partially lost as heat That's more apt.
Fusion
FusionOP2w ago
Either all the Kinetic and potential is converted to heat (idk how this will be solved,not enough data imo) or maybe the charge expands the shell and the excess energy is converted to heat? This might be solvable. Might have to derive the formula like self energy tho I thought that too but then again, capacitors is next chapter so you might be able to solve that but there should be a way to solve using only potential
Opt
Opt2w ago
Well the capacitance is derived from potential, so technically this comes first
Fusion
FusionOP2w ago
True Welp, howd we go about this though @Opt how would I work out the math for this Can you give me maybe the first 1-2 steps?
Opt
Opt2w ago
Self energy of a shell is Kq²/R iirc
Fusion
FusionOP2w ago
KQ^2/2R
Opt
Opt2w ago
Then, charge transfer will occur until potential of both surfaces is equal, so do q1/R1 = q2/R2 as well as charge conservation to figure out charge on each Is it? I don't remember the derivation.
Fusion
FusionOP2w ago
dw=Vdq=Kqdq/R Integrate from 0 to Q
Opt
Opt2w ago
Ah right. Nvm But yeah, that should work
Fusion
FusionOP2w ago
Yea but How do I apply the formula Alr I got it. Thank you +solved @Opt
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