Knockout JEE Main April 2021 (One Month)
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(a) State and explain the law used to determine magnetic field at a point due to a current element. Derive the expression for the magnetic field due to a circular current carrying loop of radius r at its centre.
(b) A long wire with a small current element of length 1 cm is placed at the origin and carries a current of 10 A along the X-axis. Find out the magnitude and direction of the magnetic field due to the element on the Y-axis at a distance 0·5 m from it.
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Biot-Savart's Law: Determines the magnetic field at any point due to current-carrying conductor.
According to Biot-Savart law, the magnetic field at a point P which is at a distance r from the current element is given by
Consider a circular loop of radius r and a small current element dl, then the magnetic field due to the current element at the centre o of the circle is given by
Total magnetic field

(b) Given: A length of wire - 1 cm
current carry =10A
Now, the direction of magnetic fields: