A flat coil of wire has 20 turns with a radius of $r_o$ is placed in a constant magnetic field $B_o$ such that the normal to its area is at an unknown angle, $\theta$, relative to the direction of the magnetic field. The coil has a total resistance of $R_o $. During a time interval of $\Delta T$ the magnetic field is increased at a constant rate from $B_0$ to $B_1$. During this interval of time, the current in the coil is measured to be $I_o$.
What is the angle, $\theta$, between the normal of the coils?