27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be _____ V .

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27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will

Total volume of the drop will remain unchanged,

So, $27 \times \left(\dfrac{4}{3}\pi{r}^{3}\right) = \dfrac{4}{3}\pi{R}^{3}$

$⇒ R = 3r$

Potential of the small drops, $22 = \dfrac{kq}{r}$

For bigger drop, potential will be

$V = \dfrac{k\left(27q\right)}{\left(3r\right)} = 9\left(\dfrac{kq}{r}\right) = 9 \times 22 = 198V$

27 identical drops are charged at 22V each. They combine to form a...