A number of spherical conductors of different radii are given charge s

1.	A number of spherical conductors of different radii are given charge such that the charge density of each conductor is inversely proportional to its radius. The conductors will have (a) the same potential (b) the same potential energy (c) the same charge (d) potentials inversely proportional to their radii
Answer» Correct Answer is: (a) the same potential V = Q/C = 4πR²σ/4πε₀R = Rσ/ε₀. Here, σ ∝ 1/R or σR = constant. ∴ all the conductors are at the same potential.

A number of spherical conductors of different radii are given charge such that the charge density of each conductor is inversely proportional to its radius. The conductors will have (a) the same potential (b) the same potential energy (c) the same charge (d) potentials inversely proportional to their radii

Answer»

Correct Answer is: (a) the same potential

V = Q/C = 4πR²σ/4πε₀R = Rσ/ε₀.

Here, σ ∝ 1/R

or σR = constant.

∴ all the conductors are at the same potential.

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