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Electrostatic Potential and Capacitance
Electric Potential – Combination of Charged Drops
1 question from 1 paper, each with its answer.
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Concepts tested
- potential of a merged drop
All Questions
2021 1 question
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Twenty seven drops of same size are charged at 220 V each. They combine to form a bigger drop. Calculate the potential of the bigger drop.Volume is conserved: $\frac{4}{3}\pi R^3 = 27 \times \frac{4}{3}\pi r^3 \Rightarrow R = 3r$ $V = \frac{kq}{r} \Rightarrow \frac{V_1}{V_2} = \frac{q_1}{q_2}\cdot\frac{r_2}{r_1}$ $\frac{220}{V_2} = \frac{q}{27q} \times \frac{3r}{r} = \frac{1}{9}$ $V_2 = 220 \times 9 = 1980$ V
