Are the Integral and Differential forms of Maxwell's Equations position dependent?
Yes, they are. Isn't it obvious from the differential operators and from the integrating variable respectively?
Dear Suhas
Yes, You can sea any book introduction in MHD or Plasma Physics.
Ofcourse, Maxwell's equations are position dependent. in some cases, you'll find these equations, even many books tell us about when electromagnetic wave travels through medium and the specific direction where they are propagating, does matter. Your attenuation or phase propagation constant, even intrinsic impedance all are somehow related to position.
Yes, electrostatic fields depends only on the position while electromagnetic fields depend on both position and time.
What do you mean by position dependency?
I assume, all answers above were concerning the Maxwell equations in non homogeneous media, where the position dependency comes through position dependent electromagnetic properties of media. But generally, in isotropic space there is no position dependency in Maxwell equations, as it must be, they are also Lorenz invariant. The field itself as a solution of this set of differential equations, of course, can have spatial and temporal dependence.
There could be position dependency in the non inertial frames and/or one can introduce explicit position dependency in equations considering them in special coordinate (non Cartesian) systems.
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