Electrostatics Question 152

Question: If the distance between the plates of parallel plate capacitor is halved and the dielectric constant of dielectric is doubled, then its capacity will [MH CET 2003]

Options:

A) Increase by 16 times

B) Increase by 4 times

C) Increase by 2 times

D) Remain the same

Show Answer

Answer:

Correct Answer: B

Solution:

$ C=\frac{K{\varepsilon _{0}}A}{d}\propto \frac{K}{d} $

Hence, $ \frac{C _{1}}{C _{2}}=\frac{K _{1}}{K _{2}}\times \frac{d _{2}}{d _{1}}=\frac{K}{2K}\times \frac{d/2}{d}=\frac{1}{4} $

therefore, C2 = 4C1



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