Still very new, please reference any concepts/principals behind calculations if possible/willing. (Much appreciated)
1. Two charges lie along the x-axis, a −8.0 µC charge at x = 0 and a −2.0 µC charge at x = 6.0 cm
(a) Calculate the electric field at the point (x, y) = (0, 8.0 cm) (along the y-axis).
(b) Find all points (besides infinity) where the electric field is zero.
2. A charged rod is placed on the x-axis between x = d and x = d + L. Its charge density is not uniform, and is given by λ = cx, where c is a positive constant
(a) What are the SI units of c?
(b) Calculate the total charge of the rod (hint: Q = R dq).
(c) Calculate the electric field at x = 0.
(d) Suppose L = 2d. If the rod is replaced by a point charge with the same total charge (calculated in part b), where should the point charge be located in order to give the same electric field at x = 0 as for the rod.
(e) A proton is placed at x = 0 and is released from rest. Describe the trajectory of the proton. Is the acceleration of the proton constant?
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