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arkajad
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I am reading the Wikipedia entry http://en.wikipedia.org/wiki/Vector_fields_in_cylindrical_and_spherical_coordinates" . There, in particular I see this:
So, I wonder, what is the rationale behind assuming that x,y,z are time-independent but [tex]\rho, \theta,\phi[/tex] suddenly depend on time even if the realtions between the two are time-independent? Can someone help me here?
Time derivative of a vector field
To find out how the vector field A changes in time we calculate the time derivatives. In cartesian coordinates this is simply:
However, in spherical coordinates this becomes:
To find out how the vector field A changes in time we calculate the time derivatives. In cartesian coordinates this is simply:
However, in spherical coordinates this becomes:
So, I wonder, what is the rationale behind assuming that x,y,z are time-independent but [tex]\rho, \theta,\phi[/tex] suddenly depend on time even if the realtions between the two are time-independent? Can someone help me here?
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