Assume each oil drop consists of a capacitance of C . If combine n drops to form a bigger drop, then the capacitance of bigger drop C^ would be

Step-by-step solution

Capacitance of an oil drop of radius r is C=4 r when n drops combine to form a large drop of radius R , then n volume of 1 small drop = volume of 1 large drop n 4 3 r^3= 4 3 R^3 R=n^ 1 / 3 r So, capacitance of large drop is C^ =4 R=4 n^ 1 3 r=n^ 1 3 C