Electrostatics Question 144

Question: An air filled parallel plate capacitor has capacity C. If distance between plates is doubled and it is immersed in a liquid then capacity becomes twice. Dielectric constant of the liquid is [BCECE 2004]

Options:

A) 1

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: D

Solution:

$ C=\frac{{\varepsilon _{0}}A}{d} $ ……(i) $ C’=\frac{{\varepsilon _{0}}KA}{2d} $ ……(ii) From equation (i) and (ii) $ \frac{C’}{C}=\frac{K}{2} $

therefore $ 2=\frac{K}{2}\Rightarrow K=4 $



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