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MHT CET202313 May 2023Morning ShiftPhysicsCurrent ElectricityActual

A charged spherical conductor of radius ' R ' is connected momentarily to another uncharged spherical conductor of radius ' r ' by means of a thin conducting wire, then the ratio of the surface charge density of the first to the second conductor is

Options

  1. AR : r ^2
  2. BR : r
  3. Cr: R
  4. D1: 1

Correct answer

C. r: R

Step-by-step solution

V₁=V₂ ( both the conductors have the same potential as they are connected) gathered q₁ R = q₂ r = q 4 R^2 gathered The ratio of their charge densities is: gathered ₁ ₂ = q ₁ R ^2 q ₂ r ^2 ₁ ₂ = r R gathered

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