In a Van de Graaff type generator a spherical metal shell is to be a 15 \times 10^{6} \vee electrode. The dielectric strength of the gas surrounding the electrode is 5 \times 10^{7} \mathrm{Vm}^{-1}. What is the minimum radius of the spherical shell required? (You will learn from this exercise why one cannot build an electrostatic generator using a very small shell which requires a small charge to acquire a high potential.)

Ans: Given that, Potential difference is given as, $V=15 \times 10^{6} \mathrm{~V}$ Dielectric strength of the surrounding gas $=5 \times 10^{\top} \mathrm{Vm}^{-1}$ Electric field intensity is...

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