There is a uniformly charged non-conducting solid sphere. A spherical cavity is made whose centre does not coincide with the centre of solid sphere. Electric field intensity inside the cavity is

• A: directly proportional to distance of the point from centre of cavity
• B: directly proportional to the distance of the point from centre of sphere
• C: uniform
• D: not predictable due to insufficient information

The scenario involves a uniformly charged non-conducting solid sphere with a spherical cavity. To determine the electric field intensity inside the cavity, we need to consider the properties of electric fields in non-conducting materials.

Understanding Electric Fields in Non-Conductors

In a uniformly charged non-conducting sphere, the electric field inside the material is determined by the charge distribution. However, when a cavity is introduced, the situation changes.

Key Points About the Cavity

• The electric field inside a cavity in a uniformly charged non-conducting sphere is uniform.
• This uniformity occurs because the electric field contributions from the surrounding charge cancel out within the cavity.

Conclusion on Electric Field Intensity

Therefore, the correct answer is C: uniform. The electric field intensity inside the cavity does not depend on the distance from the center of the cavity or the sphere; it remains constant throughout the cavity.