Electrostatics Question 701

Question: The insulation property of air breaks down when the electric field is $ 3\times 10^{6}V{{m}^{-1}}. $ The maximum charge that can be given to a sphere of diameter 5 m is approximately

Options:

A) $ 2\times {{10}^{-2}}C $

B) $ 2\times {{10}^{-3}}C $

C) $ 2\times {{10}^{-4}}C $

D) $ 2\times {{10}^{-5}}C $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ E=\frac{kQ}{r^{2}}\Rightarrow Q=\frac{E\times r^{2}}{k}=\frac{3\times 10^{6}\times {{( 2.5 )}^{2}}}{9\times 10^{9}} $

$ =2\times {{10}^{-3}}C $



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