Electrostatic Field/Magnetic Fields

[jcj330]

There is an arbitrary vector A=A[R](R,θ,∅)R(phasor) + A[θ](R,θ,∅)θ(phasor) + A[∅](R,θ,∅)∅(phasor). What relationship exists between the three functions A[R], A[θ], and A[∅] if this vector is either:
A: Electrostatic Field
B: Magnetic field
I really have no idea where to start with this problem, nor do I have a great understanding of what this problem is asking. Any help or guidance in this problem would be appreciated. Thanks!

 

[yungman]

There is an arbitrary vector A=A[R](R,θ,∅)R(phasor) + A[θ](R,θ,∅)θ(phasor) + A[∅](R,θ,∅)∅(phasor). What relationship exists between the three functions A[R], A[θ], and A[∅] if this vector is either:
A: Electrostatic Field
B: Magnetic field
I really have no idea where to start with this problem, nor do I have a great understanding of what this problem is asking. Any help or guidance in this problem would be appreciated. Thanks!

This is vector in spherical coordinate that comprises of three orthogonal components where:

$$\vec A =\hat R A_R +\hat \theta A_{\theta}+\hat \phi A_{\phi}$$

Here is the explanation of Spherical coordinates:

http://mathworld.wolfram.com/SphericalCoordinates.html