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A hemispherical body is placed in a unif...

A hemispherical body is placed in a uniform electric field E. What is the flux associated with te curved surface, if field is
parallel to base,

Text Solution

Verified by Experts

Considering the hemispherical body as a closed body with a Curved Surface (CS) and a Plane Surface (PS), the total flux `(phi)` linked with body be zero, as no charge is enclosed by the body.

`:.phi=phi_(CS)+phi_("PS")=0` . . . . (i)
When field is parallel to the base,
`phi_("PS")=ExxpiR^(2)cos90^(@)=0`
`:.` From Eq. (i) we get
`phi=phi_("CS")=0`
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