elec dipole

why does it perform small ocilations
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25 Replies
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@Gyro Gearloose
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Opt
Opt6d ago
Show the entire question at least smh
Gamertug
GamertugOP6d ago
No description
Opt
Opt6d ago
No description
Opt
Opt6d ago
@Gamertug
Gamertug
GamertugOP6d ago
wait thats a purely mathmatical proof i was thinking since torque is PESintheta Sin x once it hits x = pi and it rotates more torque will act in opp direction
Opt
Opt6d ago
Yes Much easier Than intuition
Gamertug
GamertugOP6d ago
and eventually it will rotate other direction so oscilation wont be small
Opt
Opt6d ago
Small angle Also, i actually didn't write the electric field vector correctly, since there's a z component but that's irrelevant to this problem
Gamertug
GamertugOP6d ago
its valid for only small angles?
Opt
Opt6d ago
You can see that the torque depends on -sin(theta) so yeah, the SHM only exists for a small initial angle
Gamertug
GamertugOP6d ago
wt how it will act in other direction
Opt
Opt6d ago
Wdym?
Gamertug
GamertugOP6d ago
how will it oscilate
Opt
Opt6d ago
Initially it begins turning towards the X axis. It eventually becomes collinear with the E field, but due to its momentum, it continues turning. When it crosses the X axis, the torque flips direction, so that the torque always tries to bring the dipole moment in-line with the E field
Gamertug
GamertugOP6d ago
also how do u go from that to that @Opt
No description
Gamertug
GamertugOP6d ago
oooooh ic
Opt
Opt6d ago
From what to what? Torque is I alpha
Gamertug
GamertugOP6d ago
oooh wait ah
Opt
Opt6d ago
Alpha is d²(theta)/dt²
Gamertug
GamertugOP6d ago
iac ic
Opt
Opt6d ago
Got it?
Gamertug
GamertugOP6d ago
ye , i will solve again on my own and close it +solved @Opt
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