Electricity and Magnetism

A charged particle moving with velocity $\vec{v}=\hat{i}+3\hat{j}$ produces electric field $\vec{E} = 2\hat{k}$ at a point . if magnitude of magnetic field $| \vec{B} |$ at that point is given by $\dfrac{a\sqrt{b}}{c^2}$ . Where $c$ represents the speed of light and $a$ and $b$ are positive integers, with $b$ square-free, find $a+b$ .