# Combination of Charged Drops

Suppose we have

*n*identical drops each having radius*r*, capacitance*c*, charge*q*, potential*v*and energy*u*. If these drops are combined to form a big drop of radius*R*, capacitance*C*, charge*Q*, potential*V*and energy*U*,*then***Charge on big drop:***Q**nq***Radius of big drop:**Volume of big drop =*n*Ã— volume of a single drop, i.e.,*R*=*n*^{1/3}*r***Capacitance of big drop:***C*=*n*^{1/3}*c***Potential of big drop:***V*=*n*^{2/3}*v***Energy of big drop:**=*n*^{5/3}*u***Energy difference:**Total energy of big drop is greater than the total energy all smaller drop. Hence, energy difference,*U*=*U*â€“*nu*