What is the Definition of the Wave Zone in Potential Calculations?

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The "Wave Zone" refers to the region where the effects of a moving charge's disturbance in the surrounding fields can be observed, specifically at large distances from the source. In this zone, the potentials are evaluated using "retarded time," which accounts for the time delay in light reaching the observer, calculated with the formula t' = t - r/c. This indicates that observations made in the Wave Zone involve earlier potentials due to the finite speed of light. The discussion concludes that the Wave Zone essentially signifies a scenario characterized by significant time delays at considerable distances. Understanding this concept is crucial for accurate potential calculations in electromagnetic theory.
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The "Wave Zone" Definition

Hello!

We are trying to figure out exactly what the "Wave Zone" is when considering potentials.
We know that a moving charge will generate a "disturbance" in the surrounding fields, which propagates outwards at light speed.

This means that for great distances from the source, observations made will involve the potentials for earlier times, as the speed of light is finite. Therefore you would want to evaluate the "retarded time" which is the time delay in the light reaching the observer, and it is calculated using

t' = t - \frac{r}{c}

Where r is the extra distance traveled to quantify this time delay...?

In books it says that this is how you evaluate the potentials in "Wave Zones" but we are not clear exactly what this wave zone is? We know that the potential is a function of this retarded time, is it just a scenario when there is a time delay (and so at large distances) ?


Thank you in advance!

Hannah
 
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