Experiments show that a steady current I in a long wire produces a magnetic field B that
Question:
Experiments show that a steady current I in a long wire produces a magnetic field B that is tangent to any circle that lies in the plane perpendicular to the wire and whose center is the axis of the wire (as in the figure). Ampère’s Law relates the electric current to its magnetic effects and states that
where I is the net current that passes through any surface bounded by a closed curve C, and μ0 is a constant called the permeability of free space. By taking C to be a circle with radius r, show that the magnitude B = |B| of the magnetic field at a distance r from the center of the wire is
Г. B· dr dr μο! B = 2mr
Step by Step Answer:
Use the orientation pictured in the figure Then since B is tangent to any circle th...View the full answer
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