Q 2064078855.     Consider a circular current-carrying Loop of radius R in the x-y plane with centre at origin. Consider the Line integral
`ζ(L) = |int_(-L)^L B . dl|`
taken along z-axis.
(a) Show that `ζ(L)` monotonically increases with L
(b) Use an appropriate amperian Loop to show that `ζ(∞) = mu_0I`. where I is the current in the wire
(c) Verify directly the above result
(d) Suppose we replace the circular coil by a square coil of sides R carrying the same current I.
What can you say about `ζ(L)` and `ζ(∞)`?

NCERT Exemplar 04/27/LAT

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