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Grade 12Electrostatics

n small drops of same size are charged to V volts each. If they coalesce to form a signal large drop, then its potential will be?

Profile image of Abhishek Parihar
13 Years agoGrade 12
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5 Answers

Profile image of Avneet Kaur
13 Years ago

Let potential f 1 drop = Kq/r =V 

Volume of n drops = volume of bigger drop 

n  4/3 pi (r)^3  = 4/3 pi (R)^3

Therefore ,  R = ( (n)^1/3) r 

also charge remains conserved 

charge on 1 drop = q 

charge on big drop containing n drops = (nq) 

Therefore potential on big drop = K (nq)/ ((n)^1/3)r

=(( n)^2/3) Kq/r

(( n)^2/3) V

Profile image of Abhishek Parihar
13 Years ago

Thank you sooo much!!!Laughing

Profile image of Ishaan Shekhar
9 Years ago
Charge on 1 drop =q
Charge on big drop=nq
n4/3πr^3=4/3πR^3
R=n^1/3r
Potential on big drop=k(nq)/R^3
V1=knq/n^1/3r
V1=n^2/3V. 
Profile image of Panitji
6 Years ago
Answer is V N power 2/3 
Let potential of 1 drop is =  q
Volume of n drops  is equal to the volume of bigger drops 
Charge on big drop containing n drops  is equal to 
= NQ
Profile image of Rishi Sharma
6 Years ago
Hello students,
The solution of the above problem is attached.
I hope the solution will solve all your doubts.
Thank You,
All the Best for the Exams.
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