Discuss the magnetic field due to a current -carrying circular loop.

Explanation

When a current is passed through a circular loop , a magentic field is produced around it .
The patter fromed by the magnetic field line of the magnetic field due to a current - carrying circular loop is shown in figure

The magnetic field lines of the field produced by a current - carrying circular loop are circular and concentric near the loop .
As we move away from wire , the concentric circles representing the magnetic field around it becomes ang larger .
(The magnetic field is proportional to the current and decreases as we move away from the loop ).
When we reach at the centre of the circular loop, the arcs of these big circles would apper as a straight line .
Here every point on the circular wire carrying current would give rise to the magnetic field appering as straigth lines at the magnetic field appearing as straight lines at the centre of the loop .
By applying the Right- hand thumb rule , it can be seen that every section of the wire produces magnetic field / field lines in the same direction within the loop.
Hence , at the centre of the circular loop, all the magnetic field lines are in the same direction and aid each other due to which the strenght of the magnetic field increases.
In case of a current - carrying circular coil having N turns, the magnetic field produced is N times as large as that produced by a coil having single turn , assuming that all turns have nearly the same radius.
This is because the current in each circular turns has the same direction and the field due to each turn then just add up .
Thus , magntidue of the magnetic field B produced at the centre of the coil is :
(1) Directly proportional to the currnet I flowing through it , i.e., `B prop I`
(2) Inversly proportional to the radius r of the coil , i.e., `B prop (1)/(r)` .
(3) Directly propotional to total number of turns N of the coil , i.e., `B prop N ` .