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Asked by minipkda 24th May 2018, 12:03 PM
Let us consider a current carrying wire of length 2a through which a current of i is passing.
Let us consider a point P at a distance s from the wire.
Magnetic field dB due to a small current element idl is given by
.......................(1)
where ru is the unit vector along r
from fig(a), we have l = s×tanθ , dl = s×sec2θ dθ ,  (s/r) = cosθ

using the above relations in eqn. (1) , we have

..........................(2)
Magnetic field due to entire length of wire is obtained by integrating eqn.(2) as given below

....................(3)
use this general relation (3) for the rectangular current loop shown in fig.(b) to get the magnetic field at centre of loop.
This magnetic field is given below

Answered by Expert 25th May 2018, 10:41 PM
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