Q. Consider a circular loop of radius R on the xy-plane carrying a steady current anticlockwise. The magnetic field at the center of the loop is given by

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Solution:

A circular loop of radius and current is shown in the figure below

From Biot-savart law, the magnetic field at some point in space at distance R is given as,

Since, the loop is circular in shape so,

Now integrating the field in whole length of wire loop

Also, with help of right hand thumb rule, we can conclude, that the magnetic field is in direction.

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