Two identical concentric coils X and Y carrying currents in the ratio 1: 2 are arranged in mutually perpendicular planes. If the magnetic field due to coil X is B , then the net field at their common centre is

Step-by-step solution

As two coils are mutually perpendicular, so the field produced by them will also be perpendicular to each other as shown The two coils are identical, so magnetic field, B I or B_ x B_ y = I_ x I_ y = 1 2 B_ y =2 B_ x B_ x =B , then B_ y =2 B Resultant field, B_ R = B_ x ²+B_ y ² = B²+(2 B)² = 5 B