Two similar current loops are placed with their planes one along x-axis and the other along y-axis Then what - Physics - Moving Charges And Magnetism

Question

Two similar current loops are placed with their planes one along
x-axis and the other along y-axis Then what is the ratio of
resultant magnetic field at a common point to the individual
magnetic field??

Ved Prakash Lakhera · Accepted Answer

The magnetic field intensity due to a loop placed with its plane along X-axis,is given by;             By=μ0 I 2πa24π a2+y232 
The field at y=0 is   By0=μ0 I 2aand the magnetic field by the plane placed on Y-axis is;          Bx=μ0 I 2πa24π a2+x232 
and  the field at x=0 is   Bx0=μ0 I 2aAt the common point the magnetic field is;       B=Bx02+By02 =μ0 I 2a2+μ0 I 2a2 =μ0 I 2a×2

Two similar current loops are placed with their planes one along x-axis and the other along y-axis .Then what is the ratio of resultant magnetic field at a common point to the individual magnetic field??