A long, cylindrical conductor of radius R = 9.3 m carries a current I. The current...
A long, cylindrical conductor of radius R = 9.3 m carries a current I. The current density J, however, is not uniform over the cross-section of the conductor but is a function of the radius according to J = 15r2. Determine the magnetic field at a distance of R/2 from the center. Express your answer in microTesla.
Homework Answers
By Ampere's circuital law,
B is the magnetic field, dl is an elementary length and I is the current enclosed.
is the permeability of free space
Now, for a current density J we have
dA is the elementary area.
Now let us consider a point r<R
Hence, applying Ampere' law
Magnetic field at a distance R/2 is hence given by,
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