There are three co-centric conducting spherical shells A, B and C of radii a, b and c respectively. The potentials of the spheres A, B and C respectively, are :
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There are three co-centric conducting spherical shells A, B and C of radii a, b and c respectively. The potentials of the spheres A, B and C respectively, are :

G1 Physics · Accepted Answer

For a conducting spherical shell, the potential due to that shell is constant everywhere inside it and equals kq/R. At shell A of radius a: • charge q₁ on shell A contributes kq₁/a, • charge q₂ on shell B contributes kq₂/b, • charge q₃ on shell C contributes kq₃/c. Therefore, V(A) = k(q₁/a + q₂/b + q₃/c). At shell B of radius b: • charges q₁ and q₂ are both effectively at radius b for the potential at B, • outer shell C contributes kq₃/c. Hence, V(B) = k[(q₁+q₂)/b + q₃/c]. At shell C: all three…