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Grade: 12
        
If N drops of same size each having the same charge, coalesce to form a bigger drop. How will the following vary with respect to single small drop?              (3) 
 
(i) Total charge on bigger drop (ii) Potential on the bigger drop (iii) Capacitance 
one year ago

Answers : (2)

Vikas TU
6869 Points
							
Volume would be conserved.
Hence,
V =nv
4/3*pi * R^3 = n*4/3*pi*r^3
R^3 = n*r^3...........(1)
And as charge is a scalar quantity,
Q = nq......(2)
From both eqns. we get,
Volt = KQ/R => Knq/(rn^(1/3))
Capicatance = Q/Volt => nq/[Knq/(rn^(1/3))] => r*n^(1/3)/K Farad. 
one year ago
Tanush
23 Points
							
 
Volume would be conserved.
Hence,
V =nv
4/3*pi * R^3 = n*4/3*pi*r^3
R^3 = n*r^3...........(1)
And as charge is a scalar quantity,
Q = nq......(2)
From both eqns. we get,
Volt = KQ/R => Knq/(rn^(1/3))
Capicatance = Q/Volt => nq/[Knq/(rn^(1/3))] => r*n^(1/3)/K Farad. 
one year ago
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