EMI+Mechanics Doubt

How to go about option (3) and (4)?
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@Gyro Gearloose
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Opt
Opt7d ago
Tf is this question? It looks nice, but it also looks like someone was asked to cram as many topics as possible into one question
SirLancelotDuLac
SirLancelotDuLacOP7d ago
I mean yeah but the doubt was how do you find the energy of the system.
Opt
Opt7d ago
Just a moment, what's that q/ω?
SirLancelotDuLac
SirLancelotDuLacOP7d ago
Ig the potential difference*effective current would give power but don't see how to find energy and stuff
Dexter
Dexter7d ago
Bro whar😭😭 what is this monstrosity
Opt
Opt7d ago
I forgot the rotation thing. How do you figure out how much it rotates again?
SirLancelotDuLac
SirLancelotDuLacOP7d ago
Amplitude?
Opt
Opt7d ago
Mhm
SirLancelotDuLac
SirLancelotDuLacOP7d ago
I mean there are two shms right? So amplitude ke liye we somehow need energy and for energy (I think) we need amplitude.
Opt
Opt7d ago
No no, I mean the simplest case. There's a charged disk and magnetic field changes. I forgot that And I don't have notes for that
SirLancelotDuLac
SirLancelotDuLacOP7d ago
That would just give rotation no?
Opt
Opt7d ago
Yeah. How much? The angular velocity I just remember i = ωq/2π How to relate it, I forgot.
SirLancelotDuLac
SirLancelotDuLacOP7d ago
Omega would be qB/m ig
Dexter
Dexter7d ago
😰
Opt
Opt7d ago
? Would it? What?
SirLancelotDuLac
SirLancelotDuLacOP7d ago
qvB=mvomega for a particle and then for entire disk omega=qB/m ig,
Dexter
Dexter7d ago
why is it even rotating ik that tension hoti hai closed loop mein in a magnetic field but switching off the magnetic field will just induce an emf?
Opt
Opt7d ago
Yeah, wait that makes sense. More like ω= B(dq/dm) i suppose Working radially
Dexter
Dexter7d ago
oh ok got it
Opt
Opt7d ago
I got q²B²R²/4M as the total rotational kinetic energy
SirLancelotDuLac
SirLancelotDuLacOP7d ago
Ah. How?
Opt
Opt7d ago
0.5Iω²
SirLancelotDuLac
SirLancelotDuLacOP7d ago
But this omega is in case of disc rotating under influence of constant field right? While in this case, we are dealing with shm and motion due to changing flux?
Opt
Opt7d ago
A disk would not rotate because of a constant field in the first place. It would be an impulse I think ∆ω = (dq/dm) ∆B
SirLancelotDuLac
SirLancelotDuLacOP7d ago
Ah I see.
hithav
hithav7d ago
dq/dm ? Can you explain what it is i don't understand
Opt
Opt7d ago
Idk either

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