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Grade 12Electrostatics

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

Profile image of Raghav Mishra
9 Years agoGrade 12
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2 Answers

Profile image of Vikas TU
9 Years ago
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. 
Profile image of Tanush
9 Years ago
 
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. 

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