Discussion
Consider the following statements about coordinate systems.
1. The cylindrical system suits a long straight conductor 2. The spherical system suits a point charge 3. The Cartesian unit vectors vary with position
Answer: D
Choosing the system whose symmetry matches the problem is what makes a field calculation tractable. The Cartesian unit vectors are the only ones that do not vary with position, which is precisely why the other two systems have more complicated operator forms.
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