There are three co-centric conducting spherical shells 
and 
of radii 
and 
respectively ( 
) and they are charged with charge 
and 
respectively. The potentials of the spheres 
and 
respectively, are :
Text Solution
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The potential at any point due to a charged spherical shell of radius 
and charge 
is 
for points inside or on the surface ( 
), and 
for points outside ( 
).
Let 
. The potentials of the three shells 
with radii 
and charges 
are calculated by superposition.
For shell 
:
Shell 
is on its own surface, while it is inside shells 
and 
.
For shell 
:
Shell 
is outside shell 
, on its own surface, and inside shell 
.
For shell 
:
Shell 
is outside shells 
and 
, and on its own surface.
Comparing these expressions with the given options, option matches correctly.
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