Electrostatics Question 55

Question: The distance between the circular plates of a parallel plate condenser $ 40mm $ in diameter, in order to have same capacity as a sphere of radius $ 1\ metre $ is [MP PET 1992]

Options:

A) $ 0.01mm $

B) 0.1 $ mm $

C) 1.0 $ mm $

D) 10 $ mm $

Show Answer

Answer:

Correct Answer: B

Solution:

$ 4\pi {\varepsilon _{0}}r=\frac{{\varepsilon _{0}}A}{d} $

therefore $ d=\frac{A}{4\pi r}=\frac{\pi {{(20\times {{10}^{-3}})}^{2}}}{4\pi \times 1}=0.1mm $



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