A conducting ring of circular cross-section with inner and outer radii $\mathrm{a}$ and $\mathrm{b}$ is made out of a material of resistivity $\mathrm{\rho }$. The thickness of the ring is $\mathrm{h}$. It is placed coaxially in a vertical cylindrical region of a magnetic field $\mathrm{B}=\mathrm{krt}$, where $\mathrm{k}$ is a positive constant, $\mathrm{r}$ is the distance from the axis and $\mathrm{t}$ is the time. If the current through the ring is $\mathrm{I}=\left(\frac{\mathrm{kh}}{\mathrm{\alpha p}}\right)\mathrm{ }\left[{\mathrm{b}}^3-{\mathrm{a}}^3\right]$, then what is the value of $\mathrm{\alpha }$?