Problem 29. Show by direct integration that the electric field at the center of a ring of charge of radius R and of cons

[answerhappygod]

Problem 29 Show By Direct Integration That The Electric Field At The Center Of A Ring Of Charge Of Radius R And Of Cons 1 (60.65 KiB) Viewed 15 times

Problem 29. Show by direct integration that the electric field at the center of a ring of charge of radius R and of constant linear charge density λ is zero. Let the ring be in the r-y plane, centered on the origin of coordinates. You may assume that A is positive. Problem 30. Consider a ring of charge of radius R centered on the origin in the x-y plane with a linear charge density is A = Ao sin 0, where is the counter-clockwise angle from the positive r-axis. You may assume that A is positive. A) Find the total charge on the ring. B) Find the electric field at the center of the ring. Problem 31. Consider the semicircular ring of charge shown below. The radius of the ring is a. Find the direction of the electric field at the origin of coordinates (point P in the diagram) by using symmetry arguments if A) λ = λο B) A Ao sin 0 Assume Xo is positive. I