Magnetic field outside a region with a varying electric field

In a cylindrical region of radius $R=5.0\mathrm{cm}$ there is a uniform electric field, parallel to the axis, that grows at the rate $\frac{dE}{dt}=2.0\cdot 10^{12}V/(\mathrm{m}\cdot \mathrm{s})$; outside the region the electric field is zero and there are no currents. Compute the magnitude of the magnetic field at distance $r=8.0\mathrm{cm}$ from the axis.