A rectangular conducting loop of length 4 cm and width 2 cm is in the xy-plane, as shown in the figure. It is being moved away from a thin and long conducting wire along the direction  $\frac{\sqrt{3}}{2}\widehat{x}+\frac{1}{2}\widehat{y}$ with a constant speed v. The wire is carrying a steady current I = 10 A in the positive x-direction. A current of  $10\mu A$  flows through the loop when it is at a distance d= 4 cm from the wire. If the resistance of the loop is  $0.2\Omega$, then the value of v is ______ $m{s}^{-1}$.  [Given: The permeability of free space  ${\mu }_0=4\pi \times {10}^{-7}N{A}^{-2}$]