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Consider a circular current-carrying loop of radius R in the x-y plane with centre at the origin. Consider the line integrala) show thatmonotonically increases with L b) use an appropriate Amperian loop to thatwhere 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

a) A circular current-carrying loop’s magnetic field is given as

It is a L function that increases monotonically.

b) The Amperian loop is defined as follows:

c) The magnetic field at the circular coil’s axis is provided by 0I.

d) When a circular coil is swapped out for a square coil, the result is