# Continuity of perpendicular component of the magnetic field

Not what you're looking for?

Maxwell's fourth equation states that div B = 0. Use this law to show that the

component of B perpendicular to the surface is continuous (i.e., the same just below

and just above the surface), regardless of the surface current Js(r, t).

##### Purchase this Solution

##### Solution Summary

A detailed solution is given. The continuity of perpendicular components of the magnetic field is determined.

##### Solution Preview

The volume integral of div · B over a box equals, by Gauss' theorem the integral of B dot dO over the surface of the box. Here the surface element dO points in the direction of the outward normal. So, we have:

Maxwell's fourth equation thus implies:

Integral of B dot dO = 0

Take a box consisting of two sides of area A ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Basic Physics

This quiz will test your knowledge about basic Physics.

##### 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.

##### 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.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.