@tomr,
tomr wrote:Where do we come across a delay in the creation of either a magnetic or electric field?
It's implicit in equations 34.5, 34.6, and 34.7. The book doesn't explain it at this point, but there's a footnote pointing to section 16.9 of the same book, which presumably explains the point you're asking about for waves in general. Do you have a link to chapter 16 of the book? (As an aside: what's the title of the book? It seems rather well written.)
Either way: on reflection, you're probably right with your objection. The actual theoretical argument may not be as easy as easy as solving the equation. You probably have to start with a Hertzian dipole in a field-free vacuum, then wiggle the electrons in the dipole to create a pulse in E(t, x=0), then look at what happens to B(t, x=X) and E(t, x=X) for some small, nonzero value of X, by integrating equation 34.5 over t. You will find that B(x=X) will change with a time delay proportional to X. That's all I was trying to say in my earlier post, but you're right, it's more complicated to show than I thought.