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NCERT Class XII Chapter
Electrostatic Potential and Capacitance
Questions With Solutions

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Question : 35
Total: 37
In a Van-de-Graff type generator, a spherical metal shell is to be a 15 × 106 V electrode. The dielectric strength of the gas surrounding the electrode is 5 × 107 V m–1. What is the minimum radius of the spherical shel l required?
Solution:  
V = 15 × 106 V , E = 5 × 107Vm−1
As V =
1
4πε0
q
R
 and E =
1
4πε0
q
R2
R =
V
E
 =
15×106
5×107
 = 3 × 10−1 m or R = 0.3 m = 30 cm
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