Electrodynamics Radiation section

[AHSAN MUJTABA]

Homework Statement

Compute the radiation pattern from a square current loop of area A carrying a
current $i_o Cos(\omega t)+i_oSin(\omega t)$

Relevant Equations

the magnetic dipole vector potential
$A_dip =\mu_o(\vec m\times \hat n)$
$\frac{dP}{d\Omega}=(\vec E\times\vec H)$

I am computing the radiation pattern for that I have to calculate the power per solid angle I found $$m( magnetic moment)=I(t)A$$ where then i took the cross product with $n=sin(\theta)cos(\phi)i+sin(\theta)sin(\phi)j+cos(\theta)k$ After that I moved towards computing the E and B which I know how to compute. and then power per solid angle. But I want to know that is this the right approach or do I have to calculate the quadrupole tensor because the dipole contribution would be zero? I don't know I am right

 

[BigJDubs]

or wrong. A:The E and B fields are determined by the electric and magnetic dipole moments, so if your magnetic moment is $m(t)$, then you need to determine the electric dipole moment $p(t)$ so that you can compute the E and B fields.