Electrostatics Question 28

Question: The respective radii of the two spheres of a spherical condenser are $ 12\ cm $ and $ 9\ cm $ . The dielectric constant of the medium between them is 6. The capacity of the condenser will be [MP PET 1993]

Options:

A) $ 240pF $

B) $ 240\mu F $

C) $ 240F $

D) None of the above

Show Answer

Answer:

Correct Answer: A

Solution:

$ C=4\pi {\varepsilon _{0}}K[ \frac{ab}{b-a} ]=\frac{1}{9\times 10^{9}}.6[ \frac{12\times 9\times {{10}^{-4}}}{3\times {{10}^{-2}}} ] $

$ =24\times {{10}^{-11}}=240pF $



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