Coulomb's Law and Electric Field
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Electric Field of a Continuous Charge Distribution


A wire of length L carries a uniformly distributed charge Q. Determine the electric field vector at a point P of the line that contains the wire, x>L, is the coordinate of the outer point to the wire;


A charge Q is uniformly distributed along a straight wire of length L. Determine the electric field vector at the points to a distance from the wire along the perpendicular bisector to the wire.

A charge Q is uniformly distributed along an infinite wire. Determine the electric field vector at the points to a distance from the wire along the perpendicular to the wire.

Electric Dipole


Determine the electric field vector of a dipole at the points located on the perpendicular bisector of the dipole. Check the answer for points far from the center of the dipole.
Solution

Suggestion: compare with the calculation of the  magnitude of the electric field

Determine the electric field vector of a dipole at the points along the straight line joining the two charges on the dipole. Check the solution for the points far away from the center of the dipole.
Solution

Suggestion: compare with the calculation of the  magnitude of the electric field

Determine the torque that acts on an electric dipole in a uniform electric field and determine the potential energy of this dipole.
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