Question

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 \( R \)?

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

Remember that for a uniformly charged non-conducting sphere, the electric field inside the sphere increases linearly, and outside it behaves as if the charge were concentrated at the center.

Answer 1

The Correct Option is C

For a uniformly charged non-conducting sphere: - Inside the sphere (\( r < R \)): The electric field increases linearly with \( r \), as \( E \propto r \). - Outside the sphere (\( r < R \)): The electric field behaves like that of a point charge, which decreases as \( E \propto 1/r^2 \). Option (C) correctly represents the electric field behavior: inside the sphere, the field increases linearly, and outside it decreases as \( 1/r^2 \). Thus, the correct answer is (C).