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There are two co-axial non conducting cylinders of radii a and b (gt a). Length of each cylinder is L (gtgt b) and their curved surfaces have uniform surface charge densities of – sigma (on cylinder of radius a) and + sigma (on cylinder of radius b). The two cylinders are made to rotate with same angular velocity omega as shown in the figure. The charge distribution does not change due to rotation. Find the electric field (E ) and magnetic field (B) at a point (P) which is at a distance r from the axis such that(a)0 lt r lt a (b) a lt r lt b (c) r gt b. Assume that point P is close to perpendicular bisector of the length of the cylinders |
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Answer» `=(asigma)/(in_(0)r)` RADIALLY inward for `a lt r lt b` `=((b-a))SIGMA)/(in_(0)r)` radially outward for `r lt b` `B=sigmaomega(b-a)` up along the AXIS for `r lt a` `=b sigmaomega` up along the axis for `a lt r lt b=0 for r lt b` |
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