Lesson 3, Topic 2
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Uniformly Charged Infinite Plane Sheet and Uniformly Charged thin Spherical Shell (Field Inside and Outside)

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Q. A uniformly charged thin spherical shell of radius ft carries uniform surface charge density of ?? per unit area. It is made of two hemispherical shells, held together by pressing them with force F (see figure). F is proportional to
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Solution:

Electrical force per unit area =12?0E2=12?0E2 

=12?0(??0)2=?22?0=12?0(??0)2=?22?0 

Projected area =?R2=?R2 

?? Net electrical force =(?22?0)(?R2)=(?22?0)(?R2) 

In equilibrium, this force should be equal to the applied 

force. 

?F=??2R22?0orF??2R2?0?F=??2R22?0orF??2R2?0 

?? The correct option is (a).