Verify Ampere's law for the magnetic field of a point dipole of dipole moment m = m. Take C as the closed curve running clockwise along:
(i) the z-axis from z = a > 0 to z = R,
(ii) along the quarter circle of radius R and center at the origin in the first quadrant of xz-plane,
(iii) along the x-axis from x = R to x = a, and
(iv) along the quarter circle of radius a and center at the origin in the first quadrant of xz-plane
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