Problem $1$: Consider a small object of charge $q>0$ is moving along the $x-$axis with a velocity vec$(v)=v_0$hat$().$ At the instant shown in the figure, points $1,2,3,4$ and $5$ are at a distance $d$ from the object and separated by $30.$ Let vec$(B{)}_1,$vec$(B{)}_2,$vec$(B{)}_3,$vec$(B{)}_4,$ and vec$(B{)}_5$ be the magnetic field at points $1,2,3,4$ and $5,$ respectively. Express your answer in terms of $q,d,v_0,$ and ${}_0$ as needed.

Part I: The ratio between the magnitudes of the magnetic field at point $2$ and $1$ is:

$\frac{B_2}{B_1}=$

Part II: The ratio between the magnitudes of the magnetic field at point $3$ and $1$ is:

$\frac{B_3}{B_1}=$

Part III: The ratio between the magnitudes of the magnetic field at point $4$ and $1$ is:

$\frac{B_4}{B_1}=$

Part IV: The ratio between the magnitudes of the magnetic field at point $5$ and $1$ is:

$\frac{B_5}{B_1}=$