Electrostatics Question 810
Question: Capacitance (in F) of a spherical conductor with radius 1 m is
Options:
A) $ 1.1\times {{10}^{-10}} $
B) $ 10^{6} $
C) $ 9\times {{10}^{-9}} $
D) $ {{10}^{-3}} $
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Answer:
Correct Answer: A
Solution:
[a] Capacitance of spherical conductor
$ 4\pi {\varepsilon _{0}}a $ where a is radius of conductor.
Therefore, $ C=\frac{1}{9\times 10^{9}}\times 1=\frac{1}{9}\times {{10}^{-9}} $
$ =0.11\times {{10}^{-9}}F=1.1\times {{10}^{-10}}F $
