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In a Van De Graaff 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 × 10^7 Vm^−1. - CBSE (Science) Class 12 - Physics

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Question

In a Van de Graaff 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 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.)

Solution

Potential difference, V = 15 × 106 V

Dielectric strength of the surrounding gas = 5 × 107 V/m

Electric field intensity, E = Dielectric strength = 5 × 107 V/m

Minimum radius of the spherical shell required for the purpose is given by,

`r=V/E`

`=(15xx10^6)/(5xx10^7)=0.3m=30cm`

Hence, the minimum radius of the spherical shell required is 30 cm.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Physics Textbook for Class 12 (2018 to Current)
Chapter 2: Electrostatic Potential and Capacitance
Q: 35 | Page no. 92
Solution In a Van De Graaff 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 × 10^7 Vm^−1. Concept: Van De Graaff Generator.
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