State Biot-Savart law.Use it to derive an expression for the magnetic field at the centre of a circular loop of radius R carrying a steady current I.Sketch the magnetic field lines for such a current carrying loop.
iot-Savart law states that the magnetic field dB due to the current element dl at any point P is
(i) directly proportional to the current I, dB
I
(ii) directly proportional to the length dl of the element, dB
dl
(iii) directly proportional to sin
, where
is the angle between dl and r, dB
sin![]()
(iv) inversely proportional to the square of the distance r from the current element AB,
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From (i), (ii) , (iii), and (iv), we obtain

At centre, x = 0
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