463. Problem 35.18 (RHK) A square loop of wire of edge a carries a current
(b) From this result we have to answer, what does this field reduce to at the centre of the square? |
Solution: Click For PDF Version We consider a square loop of side a in which a current
We will first calculate the contribution to the magnetic field
Let us consider an infinitesimal current element
and the unit vector in the direction of
The magnetic field at P due to
The component of
We may note that by symmetry the net contribution in the
Contributions to the magnetic field at P due to the other three segments will
be equal to the one calculated for the segment (1) and will also be in the
(b) Therefore, the field at the centre of the square will be |