Why the magnetic field at the centre of any geometrically symmetrical circuit loop is always zero??????....pls explain in great details....

Dear student,
Suppose we draw some loop I on a sphere of radius r,. There is some current through this loop, so we might expect to find a magnetic field circulating in the direction shown.

by changing i, the direction of the magnetic field be different, so when we add up for the total circle, it will add to zero as there will be equal and opposite directions of the magnetic field for any two corresponding situations.
Regards

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