3. A thin non-conducting rod of length has a total charge q uni- formly distributed over its length. The point P is a distance y above the rod such that it is a perpendicular bisector of the rod. This is shown below. V(y) = (a) Show that the magnitude of the electric potential at point P is given by 9 Σπερ P l+√4y² + 1² 2y Here we take V = 0 at infinity. (b) Hence find the magnitude of the electric field at point P. Ans: (b) E(y) In I 9 2περυν 4y2+ (2 IY е

3. A thin non-conducting rod of length has a total charge q uni- formly distributed over its length. The point P is a distance y above the rod such that it is a perpendicular bisector of the rod. This is shown below. V(y) = (a) Show that the magnitude of the electric potential at point P is given by 9 Σπερ P l+√4y² + 1² 2y Here we take V = 0 at infinity. (b) Hence find the magnitude of the electric field at point P. Ans: (b) E(y) In I 9 2περυν 4y2+ (2 IY е