Derive the eqns for potential due to three concentric spherical shells
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PHYSICS
Three concentric conducting spherical shells of radii R,2R and 3R carry charges Q,−2Q and 3Q, respectively. Compute the potential at r=25R :
A .
20πε0R3Q
B .
25πε0R−3Q
C .
25πε0R−6Q
D .
25πε0R−Q
The potential at a distance r from the centre of a spherical shell of charge of radius a is given by
V=4πϵ0rQ if r>a and V=4πϵ0aQ if r<a
The potential at r=25R for the given system can be written as the sum of potentials due to individual shells.
Potential due to the innermost shell is V1=4πϵ0(5R/2)
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