A thin insulating rod is hinged about one of its ends. It can rotate on a smooth horizontal surface. The charge density on the rod is defined as:
\(\lambda = 15x^2 , x \in (0,{l \over 2}] \)
\(\lambda = -bx^n , x \in ({l\over 2},l]\)
where b is a positive constant.
An electric field \(E_0\) in the horizontal direction and perpendicular to the rod is switched on. Find the value of \((b+n)^2\), if the rod has to remain stationary.
