CBSE Class 11-science Answered
Determine electric potential of solid sphere (Q,R) at a point p(inside the sphere) which is r from centre by taking element and taking differentiation method.
Pls don't do it with V=E*dr
Asked by namanguptayo | 15 Apr, 2020, 04:59: PM
Expert Answer
Let us consider the point P inside a solid sphere of radius R. We are intersted to get potential at point P due to solid sphere.
Let this point P be at Z-axis, at a distance z from origin. Let us consider a volume element dτ at a radial distance r from origin.
Let s be the distance between volume element dτ and point P .
potential dV at P due to volume elemet dτ is given by ,
where ρ is volume charge density, ρ = Q / [ (4/3)πR3 ] .........................(1)
Potential V at P due to whole solid sphere is given by,
............................(2)
I = 2/r when r > z ; I = 2/z when r < z
we apply this result of integration and in eqn.(2) and complete the radial coordinte integration as follows
Let us substitute for charge density ρ from eqn.(1) and simplify the above expression for potential as
Answered by Thiyagarajan K | 15 Apr, 2020, 11:07: PM
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