Electrostatics Question 29

Question: A parallel plate condenser is connected with the terminals of a battery. The distance between the plates is$ 6mm $ . If a glass plate (dielectric constant$ K=9 $ ) of $ 4.5mm $ is introduced between them, then the capacity will become

Options:

A) 2 times

B) The same

C) 3 times

D) 4 times

Show Answer

Answer:

Correct Answer: C

Solution:

$ C\propto \frac{1}{d} $

therefore $ \frac{C _{medium}}{C _{air}}=\frac{d}{d-t+\frac{t}{K}}=\frac{6}{6-4.5+\frac{4.5}{9}}=\frac{6}{2}=3 $



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