Yes, that case of an accelerating current would radiate per the 
acceleration criteria in 2nd Edition of Kraus.  One type of current that 
would be accelerating is a simple harmonic oscillation.  The harmonic 
oscillation, like a sine wave, has changes of direction.
A stationary charge does not radiate he states.
 Note the other example, (counter example) a uniform current at constant 
velocity in a straight wire, (non oscillating) does not radiate.
In my Kraus, this part of Chapter 2 is section 2-27
 Interesting that ed. 3 is so different.  I would think something like 
mine would be in the first 50 pages or so of your book.
 However, I have seen books like the old ARRL Handbooks start right in 
with wave theory of the E and H field, and never really say what is the 
process of radiation, other than it happens from an antenna.
-Stuart
K5KVH
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