A long solid cylindrical conductor with radius R carries a total current I, but with a...

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A long solid cylindrical conductor with radius R carries a total current I, but with a non-uniform current density J = C/r, where C is a constant to be determined. e) Can one use Ampere's Law to find the magnetic field as a function of the distance r from the center of the cylindrical conductor, or should one use the Biot-Savart Law? Please explain. C A B -- -- f) Three different loops of wire marked A, B, or C. are placed inside the cylindrical conductor as shown, with the magnetic field coming out of the page in that region. Rank the magnetic flux through the three loops from greatest to least. Please explain your reasoning. (Please note loops A and C are the same size.) A long solid cylindrical conductor with radius R carries a total current I, but with a non-uniform current density J = C/r, where C is a constant to be determined. e) Can one use Ampere's Law to find the magnetic field as a function of the distance r from the center of the cylindrical conductor, or should one use the Biot-Savart Law? Please explain. C A B -- -- f) Three different loops of wire marked A, B, or C. are placed inside the cylindrical conductor as shown, with the magnetic field coming out of the page in that region. Rank the magnetic flux through the three loops from greatest to least. Please explain your reasoning. (Please note loops A and C are the same size.)