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A circular loop of radius a is a distance D above a point magnetic dipole of area d S carrying a current I1. (a) What is the vector potential due to the dipole at all points on the circular loop? (Hint: See Section 5-5-1.) (b) How much flux of the dipole passes through the circular loop? (c) What is the mutual inductance between the dipole and the loop? (d) If the loop carries a current Iz, what is the magnetic field due to I2 at the position of the point dipole? (Hint: See Section 5-2-4a.) (e)
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