An infinitely long, straight, cylindrical wire of radius R carries a uniform cur

Question

An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and the angular phi-direction at each point is perpendicular both to the +z-direction and to the r-direction as shown. What is the magnitude of the magnetic field at some point cross inside the wire, at a distance ri

Explanation / Answer

1.) B = u0Jri /2

2.) positive phi-direction...the 5th option

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