Solutions To The Spherical Wave Equation

RESolo
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If the solution to the electric part of the spherical wave equations is:

E(r, t) = ( A/r)exp{i(k.r-ωt)

What happens when t=0 and the waves originates at the origin, i.e. r=0 ... which I assume can't be right as you of course cannot divide by zero.

Thanks!
 
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Hint: what happens if you take the limit towards zero of r and take t=0?
 
Te exponential approaches 1 and you have A/r, the same problem? Can you just tell me I'm running out of time here!
 
RESolo said:
Can you just tell me I'm running out of time here!

I can't PF rules won't let me.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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