A long thin circular tube of radius 10cm carries a current $I=I_0\sin \omega t A/m$ on it’s curved surface as shown in figure. $I_0$ is current per unit length perpendicular to flow on the surface. Current density vector at every point makes an angle $\theta ={45}^{\circ }$ with circumferential direction. A small wire loop having single turn of resistance R, and loop area A is placed inside the tube with it’s axis coinciding with axis of tube. Ignore the self inductance of loop. The average rate of Joule heating in loop is $\frac{x{\left({\mu }_0{I}_0\omega A\right)}^2}{R}$ watt, find $x$