interaction force

why cant i assume the semi-circle as another infinitely long wire and solve
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43 Replies
iTeachChem Helper
iTeachChem Helperβ€’3mo ago
@Gyro Gearloose
iTeachChem Helper
iTeachChem Helperβ€’3mo ago
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
coolguy.
coolguy.β€’3mo ago
Why would you assume that btw
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
Like this
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CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
Eduniti - Physics by Mohit Goenka_IITKGP
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CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
also my sir explained why this is true
coolguy.
coolguy.β€’3mo ago
Then sure you can I've heard of this but have never applied it
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
results dont match
coolguy.
coolguy.β€’3mo ago
Oh
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
this is a W results somehow very few people know thi
Sephrina
Sephrinaβ€’3mo ago
ok i tried on this even though i have no idea but what i think is if we do take the ring and the thread then we can get to there through 2 ways 1. what force does dl gives on the ring and then integrate to what force the whole thread will give 2. what force does the thread give on dl of ring and integrate to the whole ring i tried to solve wasnt able to im getting stuck
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
its easy to find force on the ring due to field of wire wouldve shared the working but disc images down anyways in the semicircle , theta angle pe dtheta angle lo uspe pe bahar k taraf ke force lagega E*dq where E is electric field due to wire = 2klambda/r and dq is charge in element symmetrically opposite ek aur element hoga so cos component neutralizes and only sin remains dF = dqEsintheta integrate from 0 to pi
Sephrina
Sephrinaβ€’3mo ago
so second one right
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
1st A
coolguy.
coolguy.β€’3mo ago
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coolguy.
coolguy.β€’3mo ago
This is field on axis of semi ring and parallel to ring (imagine semi ring in xy plane)
coolguy.
coolguy.β€’3mo ago
No description
coolguy.
coolguy.β€’3mo ago
This due to wire on axis perpendicular to it (horizontal component) There is an extra pi in the denominator cause if you think about it, lambda ring= Q/Ο€R, introduces extra Ο€ Anyways ig due to the fact that ring is a finite body it won't work Don't know the reason for sure Integration always provides the exact solution
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
The wire is infinite. Acc to your diagram it should be 2klambda/a perpendicular to wire
coolguy.
coolguy.β€’3mo ago
look carefully
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
Can u elaborate
coolguy.
coolguy.β€’3mo ago
@Opt @SirLancelotDuLac Your insights would be well appreciated
Opt
Optβ€’3mo ago
That only applies if you're calculating field at the centre of the loop right?
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
We are doing that only ig?
Opt
Optβ€’3mo ago
But the rod extends beyond the centre right?
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
Nope It passes thru the centre of half ring
Opt
Optβ€’3mo ago
Yeah, but the field expression is for a single point Not for a line passing through center
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
thats why this calc is done
Imine
Imineβ€’3mo ago
(its B right)
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
its A this is the integral u made right?
Imine
Imineβ€’3mo ago
oh yh mb yeah just took different angle ig
Imine
Imineβ€’3mo ago
No description
Varun_Arora
Varun_Aroraβ€’3mo ago
I didn't see this thread.... But how good is that "E" Oooooofffff
Imine
Imineβ€’3mo ago
Wdym It's of the long thread
Varun_Arora
Varun_Aroraβ€’3mo ago
Are handwriting pe compliment kiya tha yaar 😭 That was looked really good
Imine
Imineβ€’3mo ago
Ohh
Varun_Arora
Varun_Aroraβ€’3mo ago
ECos(theta) vaala I didn't even read the question ngl
Imine
Imineβ€’3mo ago
Damnn first time for everything πŸ˜‚ πŸ˜‚
Varun_Arora
Varun_Aroraβ€’3mo ago
I was too exhausted at that time 😭 And now I'm caught up some other question It's a freakin cycle
Imine
Imineβ€’3mo ago
Real
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
frfr
SchrodingerBilla
SchrodingerBillaβ€’3mo ago
hua solve?
CorrodedCoffin
CorrodedCoffinOPβ€’3mo ago
nahi 😭

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