Electrostatics Question 568

Question: Two capacitors of 3pF and 6pF are connected in series and a potential difference of 5000$ V $ is applied across the combination. They are then disconnected and reconnected in parallel. The potential between the plates is [MP PMT 1992]

Options:

A) 2250$ V $

B) 2222$ V $

C) $ 2.25\times 10^{6}V $

D) $ 1.1\times 10^{6}V $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{1}{C}=\frac{1}{3}+\frac{1}{6} $

therefore $ C=2pF $

Total charge$ =2\times {{10}^{-12}}\times 5000={{10}^{-8}}C $

The new potential when the capacitors are connected in parallel is

$ V=\frac{2\times {{10}^{-8}}}{(3+6)\times {{10}^{-12}}}=2222V $



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