Magnetic properties of Conics

Consider two current carrying conductors, Both carrying current I.

One of the conductor is in shape of an ellipse with semi-major axis a and semi minor axis b. Let magnetic field due to this conductor at one of its focus be ${ B }_{ e }$

The shape of the other conductor is a circle with radius R. The magnetic field due to this conductor at its center is ${ B }_{ c }$

Find $\frac { { B }_{ e } }{ { B }_{ c } }$

Given

$a=5\quad m$

$b=1\quad m$

$R=5\quad m$

All units are in SI units