A coil in the shape of an equilateral triangle of side $10 \mathrm{cm}$ lies in a vertical plane between the pole pieces of permanent magnet producing a horizontal magnetic field $20\mathrm{mT}$. The torque acting on the coil when a current of $0.2 \mathrm{A}$ is passed through it and its plane becomes parallel to the magnetic field will be $\sqrt{x}\times {10}^{-5}\mathrm{Nm}$. The value of $x$ is