COMEDK2022PhysicsElectrostatics
Which of the following diagram represents the variation of the electric field with distance r from the centre of a uniformly charged non-conducting sphere of radius R ?
Correct answer
2
Step-by-step solution
For a uniformly charged non-conducting sphere of radius R and total charge Q , the electric field E at a distance r from the centre is determined using Gauss's Law. Inside the sphere, where r Outside the sphere, where r R , the sphere acts as a point charge located at its centre. The electric field is given by E = kQ r^2 . This shows that E is inversely proportional to the square of the distance r , resulting in a curve that decreases as r increases. At the surface of the sphere, r = R , the electric field reaches