distribution of charges

plz can someone explain me how the charges are distributed in conductors placed side by side .
i know i am going wrong somewhere but yet not able to understand .
sample question
3 conductors- A B C
+Q 0 -2Q
Find final charge distribution.

23 Answers

49
Subhomoy Bakshi ·

u seem not to appreciate the mess u just made in your copy after solving a problem! [3]

I used to appreciate those things like hand writing, the diagrams etc for at least 1 minute after the sum was solved!

This revealed many of the hidden secrets like this to me! :P

Try appreciating the mess you created after each battle! You wud suddenly become a pro in the topic! :D

1
rishabh ·

in @ashish's diagram lets mark the surfaces as 1,2,3,4 ..now my doubt is that how do we say/assume the field due to which surface is in which direction?!!!

30
Ashish Kothari ·

The good thing is that you need not worry whether it is positive or negative. Just assume postive/negative and stick to it till the end. Your answer will carry a negative sign if you assumed something wrong. Just make sure to report the answer after correcting that incorrect assumption . [1]

1
rishabh ·

i don't get how can we say that at 'p' the field due to which plate is in which direction...
as we are not given the magnitudes...how do we know that Q - q is positive or negative...??

49
Subhomoy Bakshi ·

Appreciating edits it all..![6]
just try out!

30
Ashish Kothari ·

Thats what he meant. Sometimes its just all about appreciating the "mess" of our handwriting. :D

71
Vivek @ Born this Way ·

@Appreciating the mess :

" Whenever I appreciate my hand writing and all, I began to loose everything out of my mind.. Even my handwriting becomes unreadable to me "

How to tackle this.. Now I don't have time to improve my hand writing either!! :)

49
Subhomoy Bakshi ·

Why get into competition? :P
Appreciate all the mess u made after u made it! ;)

30
Ashish Kothari ·

Bhaiya I do this but then the thought that comes to my mind (and it always does!) "okay nothing to get so inflated. You're not the only one who did it!" And then I move on. But I can tell you I do come back at times and look with pleasure at THE MESS!

49
Subhomoy Bakshi ·

once it went till 2 hours! :P
I had attempted that sum for 3 days! [3]

30
Ashish Kothari ·

Will keep that in mind. [1]

21
Shubhodip ·

@subhomoy da:

:P ''I used to appreciate those things like hand writing, the diagrams etc for at least 1 minute after the sum was solved!''

i also do, sometimes 5-10 mins :P

49
Subhomoy Bakshi ·

http://www.targetiit.com/iit-jee-forum/posts/capacitor-19509.html

30
Ashish Kothari ·

Wow. This seems to be a nice generalisation. Never thought of it! [1]

49
Subhomoy Bakshi ·

1/2(sum total of charge in the system) lies in the outer surface of the external plates(ie: A & C)

this is the result of the fact that field inside a conductor is necessarily 0 in conditions of electrostatics! [1]

262
Aditya Bhutra ·

thnx guys.... thats why i wasnt able to solve even a question from h.c.verma

30
Ashish Kothari ·

Where does this come from "1/2(sum total of charge in the system) lies in the outer surface of the external plates(ie: A & C)"?

1
samagra Kr ·

For check : 1/2(sum total of charge in the system) lies in the outer surface of the external plates(ie: A & C).And the inner one behaves as a parallel plate capacitor(ie: +q &-q).And total charge in any plate is constant. so the ans must be(-Q/2,3Q/2 ;-3Q/2,+3Q/2 ;-3Q/2,-Q/2)

30
Ashish Kothari ·

You're making a mistake. The field at the point P in your diagram is not zero. Take a point inside any of the two conducting plates and find the field there. Over there, the field can be equated to zero. Like in the above example, lets take a point Q inside the first plate having charge +Q.

Net field (+ve towards right) = k(Q-q) - Kq - Kq + Kq

hence,

Q - q - q = 0

Giving, q = Q2

30
Ashish Kothari ·

Whats the answer given?

262
Aditya Bhutra ·

i have already done these steps but i am going wrong somewhere while finding field at p and equating to zero. plz help me in that portion

for eg. lets take a small question-
A B
+Q 0
find the final charge distribution

i have checked h.c.verma but can not understand the soln. they have also taken the siqn of the charge while finding the field

30
Ashish Kothari ·

262
Aditya Bhutra ·

i have done that but am not being able to get the correct ans.

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