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Potentials of concentric charged spherical shells

This type of question, asked 2 times: 10 Apr 2023, 24 Jan 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    10 Apr 2023

    28
    Three concentric spherical metallic shells X, Y and ZZ of radius a,ba,b and cc respectively [a<b<c]\lbrack a < b < c\rbrack have surface charge densities σ,−σ\sigma, - \sigma and σ\sigma, respectively. The shells XX and ZZ are at same potential. If the radii of X&YX\& Y are 2 cm2\text{ }cm and 3 cm3\text{ }cm, respectively. The radius of shell ZZ is____ cm.
  2. Question 2

    24 Jan 2026 S1

    19
    There are three co-centric conducting spherical shells A,BA, B and C of radii a,ba, b and c, carrying charges q1,q2q_{1}, q_{2} and q3q_{3} respectively. The potential of the spheres A,BA, B and C respectively, are :

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