Magnetic field due to an arc of the circle carrying current

Magnetic field due to an arc of the circle carrying current

Introduction: In this topic we are going to discuss about magnetic field intensity due to current in a circular arc of wire. 

Magnetic field due to current in a circular arc of wire.
Magnetic field due to current in a circular arc of wire. 

Consider an arc of a circle having arc length L as shown in the figure. Let I be the current flowing through the arc. Let r be the radius  of the arc. Let point O  be the point where magnetic field is to be determined. Consider a small current element dl, thus the magnetic field due to small element is given by,



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