At a distance d from a point charge Q,the energy density in its electric field is u.If we now go to a distance d/2 from the charge,what is the energy density at the new location?

Question

Quizplus · Accepted Answer

The energy density in an electric field due to a point charge is proportional to the square of the electric field, which is inversely proportional to the square of the distance from the charge. Therefore, if the distance is halved, the energy density increases by a factor of 16.

At a Distance D from a Point Charge Q,the Energy 2\sqrt { 2 }2​

At a Distance D from a Point Charge Q,the Energy $\sqrt { 2 }$