A straight long solid cylindrical conductor of radius a carries current I along its length. The...

 

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A straight long solid cylindrical conductor of radius a carries current I along its length. The current density varies as J=Jor within the conductor, where r is the radial distance from the axis of symmetry of the conductor. (a) Find the constant Jo in terms of quantities given (b) ind the magnetic field strength for r < a. (c) Find the magnetic field strength for r > a An infinite sheet lying in the x-y plane at z=0, has uniform current density J (A/m), flowing in the positive y direction. Calculate the magnetic field (magnetic flux density, B) a distance z above the sheet. Indicate field direction. A straight long solid cylindrical conductor of radius a carries current I along its length. The current density varies as J=Jor within the conductor, where r is the radial distance from the axis of symmetry of the conductor. (a) Find the constant Jo in terms of quantities given (b) ind the magnetic field strength for r < a. (c) Find the magnetic field strength for r > a An infinite sheet lying in the x-y plane at z=0, has uniform current density J (A/m), flowing in the positive y direction. Calculate the magnetic field (magnetic flux density, B) a distance z above the sheet. Indicate field direction.

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SOLUTION a To find the constant J0 we need to use the definition of current density J IA where A is the area of the crosssection of the cylinder The area of the crosssection of the cylinder is A a2 wh... View the full answer