Electrostatics Question 71

Question: The capacity of a condenser in which a dielectric of dielectric constant 5 has been used, is $ C $ . If the dielectric is replaced by another with dielectric constant 20, the capacity will become [MP PMT 1996]

Options:

A) $ \frac{C}{4} $

B) $ 4C $

C) $ \frac{C}{2} $

D) $ 2C $

Show Answer

Answer:

Correct Answer: B

Solution:

$ C=\frac{K{\varepsilon _{0}}A}{d}; $ $ \frac{C _{1}}{C _{2}}=\frac{K _{1}}{K _{2}} $

therefore $ \frac{C}{C _{2}}=\frac{5}{20} $

therefore C2 = 4C



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