Electricity and Magnetism

M

Maxwell’s Equations Problems

M.1 For each of Maxwell’s Equations:

Name it

Express it mathematically as a formula

Explain (in words) what the formula means

List one or more of its direct physical implications

M.2 In Chapter 47, we used a very narrow rectangular plaquette lying in the xy-plane in

analysis of [the vacuum form of] Faraday’s Law. There, the electric and magnetic fields were

taken to have non-zero projections onto the ˆ and

ˆ

k basis directions only. Argue that the

results obtained are unchanged when (a) the electric field has a non-zero z-component,

E

z

(t, x), and (b) the magnetic field has a non-zero y-component, B

y

(t, x).

M.3 Adapt the vacuum ...