Two identical dipoles each of magnetic moment `1.0A-m^2` are placed at a separation of 2 m with their axes perpendiicular to each other. What is the magnetic fiield at a point midway between the dipoles

Explanation

The point p will be in end- 0 on position with respect to one dipole and in broad-side on position with respect to the other

So, `B_1=mu_0/(4pi)(2M_1)/(r_1^3)=10^(-7)xx(2xx1)/((1^3))=2xx10^(-7)T`
and, `mu_0/(4pi)M/r_2^3=10^(-7)1/(13)=10^(-7)T`
However, as `B_1 and B_2` are perpendicular to each other
`B=sqrt(B_1^2+B_2^2)=10^(-7)xxsqrt(2^2xx1^2)=sqrt5xx10^(-7)T`
And `tanphi=B_2/B_1=1/2,i.e.,phi=tan^(-1)(0.5)=26.6^@`