Verify the Ampere’s law for the magnetic

Question:

Verify the Ampere’s law for the magnetic field of a point dipole of dipole moment
Exemplar Solutions Class 12 Physics Chapter 5 - 14 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 centre at the origin, in the first quadrant of x-z plane; iii) along the x-axis from x = R to x = a and iv) along the quarter circle of radius a and centre at the origin in the first quadrant of the x-z plane.

Solution:

(a)

Along z-axis, magnetic field = μ0M/4π(1/a2-1/R2)

(b)

Magnetic field at point A on the circular arc is = μ0m/4πR2

(c)

The magnetic moment is 0

(d)

The magnetic moment is 0

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