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  4. A conducting sphere of radius 30 cm is given a charge of 1.2× 10-8C . What will be its potential?

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Q. A conducting sphere of radius 30 cm is given a charge of $ 1.2\times {{10}^{-8}}C $ . What will be its potential?

MGIMS WardhaMGIMS Wardha 2013

Solution:

Here, $ C=4\pi {{\varepsilon }_{0}}R $ $ V=\frac{q}{C}=\frac{2\times {{10}^{-8}}}{4\pi {{\varepsilon }_{0}}R} $ $ =\frac{9\times {{10}^{9}}\times 2\times {{10}^{-3}}}{10\times {{10}^{-2}}} $ $ =1.8\times {{10}^{3}}V=1.8\,kV $