When the dielectric is homogeneous,the potential gradient is

uniform
non-uniform
zero
any of the above

The correct answer is A. uniform.

A dielectric is a material that is not a conductor of electricity. When a dielectric is placed in an electric field, the electric field lines are distorted and the electric field strength is reduced. The potential gradient is the rate of change of the electric potential with respect to distance. In a homogeneous dielectric, the electric field is uniform and the potential gradient is also uniform.

Option B is incorrect because the potential gradient is not non-uniform in a homogeneous dielectric.

Option C is incorrect because the potential gradient is not zero in a homogeneous dielectric.

Option D is incorrect because the potential gradient is not any of the above.