Prove that the field is uniquely determined when the

Chapter 3, Problem 5P

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Prove that the field is uniquely determined when the charge density \(\rho\) is given and either \(V\) or the normal derivative \(\partial V / \partial n\) is specified on each boundary surface. Do not assume the boundaries are conductors, or that \(V\) is constant over any given surface.

Questions & Answers

QUESTION:

Prove that the field is uniquely determined when the charge density \(\rho\) is given and either \(V\) or the normal derivative \(\partial V / \partial n\) is specified on each boundary surface. Do not assume the boundaries are conductors, or that \(V\) is constant over any given surface.

ANSWER:

Step 1 of 3

The unique determination of an electric field can be done from the second uniqueness theorem. We are required to know the total charge of each conductor if a given volume is surrounded by several conductors.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back