If in a circular coil $A$ of radius $R$, current $I$ is flowing and in another coil $B$ of radius $2R$ a current $2I$ is flowing, then the ratio of the magnetic fields $\mathrm{B}_A$ and $\mathrm{B}_B$, produced by them will be\\
(1) 1\\
(2) 2\\
(3) $1/2$\\
(4) 4