Figure shows (only cross section) a wooden cylinder C with a mass m of  $0.25\text{ kg}$, a radius R and a length $\mathcal{l}$  perpendicular to the plane of paper of 0.1 meter with $N=10$  where $N$  is number of turns of wire wrapped around it longitudinally, so that the plane of the wire loop contains the axis of the cylinder. The least current through the loop is $\frac{P}{2}A$  that will prevent the cylinder from moving down a plane whose surface is inclined at angle  $\theta$  to the horizontal, in the presence of a vertical field of magnetic induction $0.5{\text{ weber/meter}}^2$ , if the plane of the windings is parallel to the inclined plane? (bottom most point of cylinder does not slip) then find value of P.