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a question about Maxwell equation

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Adun

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please refer to the attached picture.
thanks:)
 

jallem

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The divergence is roughly a measure of a vector field's increase in the direction it points; but more accurately a measure of that field's tendency to converge on or repel from a point.
Taken from http://en.wikipedia.org/wiki/Del_operator.

In other words, the divergence of J is a measure of how much J change
en la direction given by J itself. Or the solution is the same and there is
no ambiguity.
 

Adun

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But i think the ambiguity here is between (a) & (b)

(a) Physically, change of coordinate system should NOT change how fast the charge accumulates in a point.
(b) Mathematically, change of coordinate system does seem to change how fast the charge accumulates in a point.
 

lagrange

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Hi Adun

Being x'y'z' is the rotated system it holds:

x'= -x and (x' versor) = -(x versor)

So you get J =(x' versor) x'

and d(rho)/dt = -5 is not changed by the rotation.
 

Adun

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thanks lagrange, i just realized my math flaw when i am taking a shower:)
hail to the maxwell equations
 

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