Question
Use Biot-Savart law to derive the expression for the magnetic field on the axis of a current carrying circular loop of radius R.
Draw the magnetic field lines due to a circular wire carrying current I.
Solution
Here,I = current in the loop
R= radius of the loop
X= distance between O and P
dl = conducting element of the loop
According to the Biot-Savart law,
Magnetic field at point P is,
dB has two components: dBx and
.
is cancelled out and the x-component remains.
Therefore,
Summation of dl over the loop is given by,
B =
Magnetic field lines due to a circular current carrying i is,
Magnetic field at point P is,
dB has two components: dBx and
. is cancelled out and the x-component remains.Therefore,
Summation of dl over the loop is given by,
B =
Magnetic field lines due to a circular current carrying i is,
