Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
232 Lecture supplement 3 35.a A thin rod of length ℓ and uniform charge per unit length λ lies along the x axis, as shown in Figure P23.35. Show that the electric field at P, a distance y from the rod along its perpendicular bisector, has no x component and is given by E = 2ke λ sin θ0/y. P23.35 (a) The electric field at point P due to each element of length dx, is k dq dE = 2 e 2 and is directed along the line joining the element to x +y point P. By symmetry, Ex = ∫ dEx = 0 and since dq = λ dx , E = Ey = ∫ dEy = ∫ dE cosθ where cosθ = Therefore, l2 E = 2keλ y ∫ 0 (x 2 dx ) 2 32 +y = y x2 + y2 2keλ sin θ 0 . y . FIG. P23.35