Problem

In a region of space where there are no conduction or displacement currents, it is impossi...

In a region of space where there are no conduction or displacement currents, it is impossible to have a uniform magnetic field that abruptly drops to zero. To prove this statement, use the method of contradiction: Assume that such a case is possible, and then show that your assumption contradicts a law of nature. (a) In the bottom half of a piece of paper, draw evenly spaced horizontal lines representing a uniform magnetic field to your right. Use dashed lines to draw a rectangle abcda with horizontal side ab in the magnetic-field region and horizontal side cd in the top half of your paper where B = 0. (b) Show that integration around your rectangle contradicts Ampere’s law, Eq. (29.15).

Step-by-Step Solution

Request Professional Solution

Request solution!

We need 10 more requests to produce this problem solution. Share with your friends to get the problem solution faster!

0 /10 have requested this problem solution

Request! (Login Required) Share with friends


Once 10 people have made a request, the problem solutions will be available in 1-2 days.
All students who have requested the problem solution will be notified once they are available.
Add your Solution
Textbook Solutions and Answers Search