Two identical coils carrying equal currents, have a common centre, and their planes are at right ang

Question

Two identical coils carrying equal currents, have a common centre, and their planes are at right angles to each other. Find the ratio of the magnitudes of the resultant magnetic field at the centre and the field due to one coil alone\

Professor PC Thomas Classes · Answer

\ Field due to coil I =B\ Field due to coil II = B\ Field due to a coil is perpendicular to the coil These two fields are at right angles. Hence net field $=\sqrt{\mathrm{B}^{2}+\mathrm{B}^{2}}=\sqrt{2} \mathrm{~B}$\ Find the ratio.\