A thick hollow cylinder of height $$h$$ and inner and outer radii $$a$$ and $$b$$ with $$b>a$$, made up of a poorly conducting material of resistivity $$\rho$$, lies coaxially inside a long solenoid at its middle. The radius of the solenoid is larger than $$b$$. Throughout the interior of the solenoid, a uniform time varying magnetic field $$B=\beta t$$ is produced parallel to the solenoid axis, where $$\beta$$ is a constant. In this time varying magnetic field