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[15 Points] The figure shows a rod with its central axis along the y-axis and a ring with its central axis along the x- axis. • The rod, located at a distance y = 14 [cm] from the origin, has a length L = 1 [cm] and a charge Qrod = 69 [pc] uniformly distributed. •The ring, located at a distance d = 23 [cm] from the origin, has a radius R = 10 [cm] and a charge Qring = 84 [PC] uniformly distributed. y [cm] R x [cm] 1. [2 Points] Calculate the magnitude of the electric field created by the rod at the origin. Erod = [N/C] 2. [2 Points) What is the direction of the electric field vector created by the rod at the origin.
3. [2 Points] Calculate the magnitude of the electric field created by the ring at the origin. Ering 4. [2 Points] What is the direction of the electric field vector created by the ring at the origin. = Arod 5. (2 Points] Calculate the linear charge density of the rod and select the corresponding unit. [N/C] = 수 6. [2 Points] Calculate the linear charge density of the ring. Aring = 7. [3 Points] The rod is moved upward so that the magnitude of the electric field of the rod is now 19 [N/C). Find the new distance y between the origin and the rod. [cm]
[25 points] The expression of the electric potential is given to be: V(x, y, z) = -12x²z²-3x+2y² 1. [5 points] What is the x-component of the electric field vector (Ex)? 24xz² +3 C24x²z O-4y -24xz²-3 2. [5 points] What is the y-component of the electric field vector (Ey)? 24x² z 24xz² +3 3. [5 points] What is the z-component of the electric field vector (E₂)? 24xz² +3 0-24x²z 24x² z -4y
4. [5 points] Suppose that E = (-2x²)i + (3²) + (-2z²) k, what is the electric field at point P of coordinates (-3; -1;0) [m]? Ë = i + Ĵ+^ [V/m) 4. [5 points] Suppose that E = (-2x²)+(3y²)+(-2z2), what is the electric potential difference along the x-axis between-2 [m] and 2 [m]? AV = [V]
[20 points] A single isolated point charge is carrying a charge q = 1 [nc]. As shown in the figure, two equipotential surfaces consist of two spheres centered on the point charge: o Sphere 1 of radius r₁ = 9 [m]. o Sphere 2 of radius r2 > r where r2 is unknown. 1) [5 points] Find V₁. the electric potential on the surface of Sphere 1. V₁ = [V] 2) [10 points] If Sphere 2 is separated from Sphere 1 by a difference of potential AV=2.05 [V]. Find r2, the radius of Sphere 2 (Type the detailed solution to this question in the below box, Show all your calculation steps by typing in the box). 9 -Sphere2 -Sphere1 3) [5 points) Find the work required to bring an electron (q. = -1.6 x 10-19) [C] from Sphere 2 to Sphere 1 considering that AV = 2.05 [V]. W = [J]
Question 4 Not yet answered. Marked out of 10.00 Y Flag question [10 points] A square based pyramid having a base side a = 4.04 [cm] and a height h = 7.53 [cm] is placed in a region of uniform electric field E-7, as shown in the figure. E 1 [2 points] Find the outward electric flux through the base of the pyramid: [Nm²/C] base 2. [5 Points) Find ner. the net outward electric flux through the surface of the pyramid (Show all your calculation steps by typing in the below box).
3. [3 Points] Assuming that net = 0.09 [N.m²/C), find Qencl., the total charge enclosed in the pyramid. Qencl. = [C]
Question 5 Not yet answered Marked out of 15.00 Flag question [15 points] A small sphere of charge q = 5 [uC] hangs by a thin wire between two parallel infinite plates of charge separated by a distance d= 75 [cm]. The plates are insulating and have charge densities to and -a. At the equilibrium, the sphere is exposed to an electric force of magnitude Felectric = 2.01 x 10-5 [N]. Plate-1 0 9 Plate-2 1. [3 Points] Which of the plates carries the positive charge density +o? 2. (2 points) Find the net electric field vector (Er) between the two plates. Et= i [N/C) 3. [3 points) Find the value of the charge density +o. +0= [C/m²] 0 4. [5 Points) Assuming that the electric potential on plate-1 is 90 [V], find the electric potential on plate-2
[15 Points] The figure shows a rod with its central axis along the y-axis and a ring with its central axis along the x-
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