Magnetic induction in the ferrite core?

You advise how to calculate how much magnetic flux density in the ferrite core size T37 causes the current through the conductor at its center the size of 1A?
What ferrite material be selected for the magnetic flux induced by current 1mA-10A ?

You can refer to basic magnetostatic equations.

H = 1A/magnetical path length, 0.023 m for T37
B = H *μ0 * μr, μr varies for different core materials