A current of 1 A flows through the circular coil of radius 1cm as shown in the figure. Consider points A and B to be diametrically opposite. What will be the magnetic field at the center of the coil?
A current of 1 A flows through the circular coil of radius 1cm as shown in the figure. Consider points A and B to be diametrically opposite. What will be the magnetic field at the center of the coil?
The correct option is A 0 Tesla
As the points A and B are diametrically opposite, the circular coil is split into two semi circular coils connected in parallel. Hence they receive equal currents 0.5 A each. Therefore, regardless of the formula used magnetic field due to each semi-circular coil is same. But the catch of the question is the direction of magnetic field due to each segment. Using right hand palm rule we can tell that the direction of magnetic field due to upper segment is inwards at the centre and outwards for lower segment. Hence they cancel out each other. Giving net magnetic field to be 0.
0 Tesla
As the points A and B are diametrically opposite, the circular coil is split into two semi circular coils connected in parallel. Hence they receive equal currents 0.5 A each. Therefore, regardless of the formula used magnetic field due to each semi-circular coil is same. But the catch of the question is the direction of magnetic field due to each segment. Using right hand palm rule we can tell that the direction of magnetic field due to upper segment is inwards at the centre and outwards for lower segment. Hence they cancel out each other. Giving net magnetic field to be 0.
