Consider a thin spherical shell of radius R with its centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field E(r) and electric potential V(r) with the distance r from the centre, is best represented by which graph? Continuous curve stands for intensity. Dotted curve stands for potential.

Step-by-step solution

For a thin spherical shell of radius R with a uniform positive surface charge density, the electric field E(r) and electric potential V(r) are given by: 1. Electric Field ( E ): Inside the shell ( r E(r) = 0 for r Outside the shell ( r R ), the shell behaves as a point charge located at its centre. E(r) = 1 4 ₀ Q r^2 for r R Thus, the continuous curve representing |E(r)| should be zero for r 2. Electric Potential ( V ): Inside the shell ( r R ), the electric field is zero, so the potential is constant and equal to