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A hemi-spherical network of radius a is ...

A hemi-spherical network of radius `a` is made by using a conducting wire of resistance per unit length `r`. The equivalent resistance across `OP` is

A

`(ra(pi+3))/(8)`

B

`(ra(pi+2))/(8)`

C

`(ra(pi+4))/(8)`

D

`(ra(pi+1))/(8)`

Text Solution

Verified by Experts

Points `A`, `B`, `C` and `D` are at same potential therefore no current will be flowing through `AB`, `BC`, `CD` and `DA`
`:. R_(eq)=(R_(OA)+R_(AP))//4=(r//4)((pia)/(2)+a)`
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