Electrostatics Question 542

Question: Two capacitors connected in parallel having the capacities $ C _{1} $ and $ C _{2} $ are given $ ‘q’ $ charge, which is distributed among them. The ratio of the charge on $ C _{1} $ and $ C _{2} $ will be [NCERT 1977; MP PET/PMT 1988]

Options:

A) $ \frac{C _{1}}{C _{2}} $

B) $ \frac{C _{2}}{C _{1}} $

C) $ C _{1}C _{2} $

D) $ \frac{1}{C _{1}C _{2}} $

Show Answer

Answer:

Correct Answer: A

Solution:

In parallel combination $ V _{1}=V _{2} $ or $ \frac{q _{1}}{C _{1}}=\frac{q _{2}}{C _{2}} $

therefore $ \frac{q _{1}}{q _{2}}=\frac{C _{1}}{C _{2}} $



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