. 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 
-z plane ; (iii) along
the -axis from = R to = 
,
and (iv) along the quarter circle of radius and
centre at the origin in the first quadrant of -z
plane.
Answer:
Refer Fig. 3(EP).18, From
P to Q, every point on the z-axis lies at the axial line of magnetic dipole of
moment 
. Magnetic field induction
at a point distance z from the magnetic dipole of moment 
is
(i) Along
z-axis from P to Q.
(ii)
Along the quarter circle QS of radius R. Refer Fig. 3(EP).19, point A
lies on the equatorial line of the magnetic dipole of moment M sin 
.
Magnetic
field at point A on the circular arc is
(iii) Along
-axis over the path ST. Fig.
3(EP).20, every point lies on the equatorial line of magnetic dipole. Magnetic
field induction at a point distance from
the dipole is
[
angle between 
and 
is
]
(iv) Along the quarter circle TP of radius a. Refer
Fig. 3(EP).21. Refer case (ii) ; Line integral of 
along
the quarter circle TP of radius a is
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