Consider an infinitely long straight cylinder of radius R carrying a current lo. The current is not uniform in cross-section. The density of current per unit of cross-sectional area, J, is 21. J = r2 A) Verify that the total current in the wire is in fact lo. B) Find the magnitude of the magnetic field as a function of r, the distance from the cylinder's axis, using Ampere's Law, for 0srsR. C) Find the magnitude of the magnetic field as a function of r, the distance from the cylinder's axis, using Ampere's Law, for r2 R.
Consider an infinitely long straight cylinder of radius R carrying a current lo. The current is not uniform in cross-section. The density of current per unit of cross-sectional area, J, is 21. J = r2 A) Verify that the total current in the wire is in fact lo. B) Find the magnitude of the magnetic field as a function of r, the distance from the cylinder's axis, using Ampere's Law, for 0srsR. C) Find the magnitude of the magnetic field as a function of r, the distance from the cylinder's axis, using Ampere's Law, for r2 R.
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Consider an infinitely long straight cylinder of radius R carrying a current lo. The current is not
uniform in cross-section. The density of current per unit of cross-sectional area, J, is
21.
r2
A) Verify that the total current in the wire is in fact lo.
B) Find the magnitude of the magnetic field as a function of r, the distance from the
cylinder's axis, using Ampere's Law, for 0srsR.
c) Find the magnitude of the magnetic field as a function of r, the distance from the
cylinder's axis, using Ampere's Law, for r2 R."
Transcribed Image Text:5-5)
Consider an infinitely long straight cylinder of radius R carrying a current lo. The current is not
uniform in cross-section. The density of current per unit of cross-sectional area, J, is
21.
r2
A) Verify that the total current in the wire is in fact lo.
B) Find the magnitude of the magnetic field as a function of r, the distance from the
cylinder's axis, using Ampere's Law, for 0srsR.
c) Find the magnitude of the magnetic field as a function of r, the distance from the
cylinder's axis, using Ampere's Law, for r2 R.
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