Answer :

Magnetic field induction at a point at distance r from the magnetic dipole is

i) Along z-axis from P to Q

… (1)

ii) Along the quarter circle QS of radius R is given in the figure below

… (2)

iii) Along x-axis over path ST

.... (3)

Since angle between (-M) and dl is 90 degrees.

iv) Along the quarter circle TP of radius a.

= …(4)

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