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Coulomb´s law states that the electric field of a point charge is depending on distance according to 1/r2. Based on this law the field of charged objects can be calculated and it follows that in practically all cases the static electric field around such objects is also depending on distance.

In a uniform curvilinear resistive wire of constant diameter, which carries an electric current, the electric field within the wire, which is driving the current, is NOT depending on distance. It is constant and always directed parallel to the axis of the wire, whatever be the curvature of its bending. This seems to be in contradiction with the fact, stated above, that the electric field around a charged object is depending on distance.

 

Which of the following answers makes sense to you?

 

  • 1) I do not see a contradiction between these two cases. One case is static, the other is dynamic and the two cases cannot be compared.
  • 2) There must be something along the wire which causes the field to be constant and parallel to the axis of the wire, but I do not know what it is.
  • 3) The surface of the wire is charged in such a way as to produce this pattern of electric field
  • 4) The density of the free electrons inside of the conductor, forming the electric current, varies along the wire and causes the electric field to be constant and parallel to the axis of the wire.

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