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.......................................(7.18)

If the current densities were in x or y direction similar expression could be obtained. Therefore, in general we can write:

........................................(7.19)

If the source is placed at a position (x', y', z') instead of origin, the vector potential at a point (x, y, z) can be written as

.........(7.20)

where
Fundamentals of Antennas and Radiating systems

Both (7.15) and (7.17) represents the solutions of the equation (7.10) for k = 0.

From (7.14) and (7.15) we observe that time varying soln (7.14) is obtained by multiplying static case solution (7.15) by multiplying the factor . In an analogus manner we can write the time varying solution from (7.17) as,