In a Van de Graaff type generator, a spherical metal shell is to be 15 × 106 V electrode. The dielectric strength of the gas surrounding the electrode is 5 × 107 Vm−1. The minimum radius of the spherical shell required is
  • a)
    1 m
  • b)
    2 m
  • c)
    1.5 m
  • d)
    3 m
Correct answer is option 'D'. Can you explain this answer?

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Answers

Vp Classes
Jan 20, 2022
Here, V = 15 × 106 V, dielectric strength
= 5 x 107 V m-1
Maximum electric field, E = 10% of dielectric strength

As E = V/r

= 3 m

Here, V = 15 × 106 V, dielectric strength= 5 x 107 V m-1Maximum electric field, E = 10% of dielectric strengthAs E = V/r= 3 m
Here, V = 15 × 106 V, dielectric strength= 5 x 107 V m-1Maximum electric field, E = 10% of dielectric strengthAs E = V/r= 3 m