The 1000 small droplets of water each of radius and charge $\mathrm{Q}$, make a big drop of spherical shape. The potential of big drop is how many times the potential of one small droplet?

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Aicharya · Accepted Answer

Volume of big drop $=1000 	imes$ volume of each small drop $\frac{4}{3} \pi \mathrm{R}^{3}=1000 	imes \frac{4}{3} \pi \mathrm{r}^{3} \Rightarrow \mathrm{R}=10 \mathrm{r}$ $\because \quad V=\frac{k q}{r}$ and $V^{\prime}=\frac{k q}{R} 	imes 1000$ Total charge on one small droplet is q and on the big drop is $1000 \mathrm{q}$. $\Rightarrow \quad \frac{\mathrm{V}^{\prime}}{\mathrm{V}}=\frac{1000 \mathrm{r}}{\mathrm{R}}=\frac{1000}{10}=100$ $	herefore \quad V^{\prime}=100 \mathrm{~V}$

The 1000 small droplets of water each of radius and charge $\mathrm{Q}$, make a big drop of spherical shape.…

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