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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: self potential energy
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zamuka (43)

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what is the self potential energy of a circular disc of surface charge density sigma,radiusR.?
 
I'm havin' sum confusion........
    
ankur.kkhurana (922)

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infinite

adversities cause some men to break other to break records............i m of the other type....... :-)
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suresan (272)

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i think it works out to
 
                    (R/4)^2
 
 is the oermitivity of free space
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zamuka (43)

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NOPES!!!
U hav got it absolutely wrong my freind!!!!......
it's very much a finite quantity.......
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zamuka (43)

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@suresan.....please check out  dimensions of ur ans.....
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ankur.kkhurana (922)

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sorry i read potential not potential energy

adversities cause some men to break other to break records............i m of the other type....... :-)
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suresan (272)

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I am really sorry I am working it out pretty careless
it works out something like this.
(pi X(sigma)^2 R^2) / 4X epsilonzero.
Look i am not sure even the concept used is right. Just thought it might work out.
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zamuka (43)

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no yaar stillthe ans isn't correct......I am getting it as
 
(pie*(sigma)^2*R^3) / 6*epsilonzero.....bt the fiitjee sol.n gives it something else.......
 
can any1 please tell me the ans alongwith the method????
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suresan (272)

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I am really sorry my friend, please forgive me , I was doing it in mind and i missed some thing naturall.
then answer would be some thing like this
(pi X sigma ^ 2 X R ^ 3)/ 6 epsilonzero.
I am not sure of the concept i used i will send the detail just now. please wait
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suresan (272)

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Draw a circle to reprresent the disc of radius R. Draw to circles inside with radii r and r+dr.
Now assume that the charges are distrubuted uniformly over the disc of radius R.
Then charges inside the circle of radiusr q1 = R ^ 2 this can be cosidered concentrated at the centre for all calculation
the charges inside the circular strip of radius r and width dr = 2r dr
 
then the potential energy of the sysem = integral from 0 to R (q1 q2) / 4re
where e is the permitivity of free space.
I don't know whether you got the idea or whether you approve this. Please check it if you find it iteresting and see whether you get the same answer or not.
Anyway thank you for that interesting question.
best wishes
suresan
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zamuka (43)

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thanks suresan for answering.....I too have followed the same method and getting the same ans as u.......it means that the FIITJEE sol.n are wrong.......
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sarthak_jain (27)

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i don understand how can u assume the charge to be at the centre its not a spherical object
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abhishekray07 (224)

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getting it as 2R3/6o
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