# Electrostatic Field and Potential

Not what you're looking for?

I would appreciate help in completing the proof of the equation on the

second line of the attached file.

##### Purchase this Solution

##### Solution Summary

The electrostatic field and potentials are determined. A detailed solution is given.

##### Solution Preview

What you need to prove is not that div[phi E] = 0, but rather that div[phi E] integrated over a volume approaches zero in the limit that the volume becomes infinitely large. If div[phi E] were a positive definite quantity then this would also imply that div[phi E] = 0 everywhere, but it isn't! div[phi E] can be negative or positive.

I'm now going to derive the result step by step.

Consider the volume integral:

Volume integral [rho phi].

Replacing rho = epsilon_0 div E ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### The Moon

Test your knowledge of moon phases and movement.

##### Basic Physics

This quiz will test your knowledge about basic Physics.