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
