Moderate

Equal amount of charge is given to two sphere A and B radii 2cm and 3cm respectively. The potential VA and VB

Correct answer: B. VA>VB

  • A. VA=VB
  • B. VA>VB
  • C. VA<VB
  • D. Depends upon the material of the sphere

Explanation

For spheres with the same charge, the electric potential V at the surface is given by V = kq/r, where Q is the charge, R is the radius, and k is Coulomb's constant. Since both spheres have the same charge, the potential is inversely proportional to the radius. Sphere A, with a radius of 2cm, will have a higher potential than sphere B, with a radius of 3cm. Therefore, VA > VB. Option A is incorrect because it assumes the same potential for different radii. Option C is incorrect because it suggests a lower potential for a smaller radius. Option D is incorrect as the potential does not depend on the material for this context.

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