A plane loop is shaped in the form as shown in figure with radii a= 20 cm  and b= 10 cm and placed in a uniform time varying   magnetic field  ${\text{B = B}}_{\text{0}}$ $\sin \left(\omega t\right)$ where ${\text{B}}_{\text{0}}{\text{=10m T and\hspace{0.17em}\hspace{0.17em}ω=10rads}}^{\text{-1}}$. Find the amplitude of the induced current, in ampere, in the loop if its resistance per unit length ${\text{λ=50×10}}^{\text{-3}}{\text{Ωm}}^{\text{-1}}\text{.}$ The inductance of the loop is  negligible