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Additional questions related to the differential form of Ampere

# Additional questions related to the differential form of Ampere

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Additional questions related to the differential form of Ampere’s law. As you will note Amperes law in differential form is particularly useful in determining the current density and current given a magnetic field. Trying to obtain B or H knowing J or I is not so simple due to the unknowns (B or H) being in derivatives. Nevertheless B and H can be determined with a high degree of symmetry is present and only one derivative remains in the curl process. 1) Given a magnetic field, ( 29 φ π ˆ 2 / 2 a Ir H = is present inside a conductor of radius
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Unformatted text preview: determine the current density vector, J , and the total current in the conductor. 2) Given a magnetic field, ( 29 ( 29 ˆ cos sin 1 10 2 4 -= ar a r ar a r H is present inside a conductor of radius a , determine the current density vector, J . 3) For all points inside a cylindrical conductor of radius 0.01 m, the magnetic field is ( 29 ˆ 10 * 3 2 10 * 77 . 4 2 2 4 -=-r r H , what is the magnitude and direction of the current in the conductor....
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