Figure 1 shows a uniform square line charge with the line charge density P₁ = 27C/m at z = 0. All four sides are symmetrical to x-y plane and have equa length of a m. Let a = 6 m, find E at origin, P(0,0,-0.5) and P(0,0,0.5). Compare and explain the results. P(0,0,h)
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- Two concentric cylinders are shown in the figure. The inner cylinder is a solid insulator of radius a, length L, and carries a charge -2 uniformly distributed over its volume. The outer cylinder is a cylindrical, conducting shell, of also length L,inner radius b, and outer radius c that carries a net charge +2Q. The space between a and b is filled with air. No other charges are present. Let r denote the distance from the center of the arrangement. Express all your answers in terms of all or any of the quantities M, Q, L, a, b, c, r. and any fundamental constants ONLY. Ignore edge effects. L A. Determine the charge on the inner and outer surfaces of the cylindrical shell (S2 and S3). B. Use Gauss law to determine the magnitude of the electric field as a function of distance from the center r for: iv) r>c' a. i) rla Given A = 17 [80°] and B = 13 [159°], the cross product B x A is Round your answer to the nearest tenth and make sure to include the sign if your answer is in the negative z-direction. Your Answer: Answer b Several point charges are located within a closed Gaussian surface, S, and several point charges are located just outside of the Gaussian surface. The magnitude of each charge is equal q and the number of positive and negatives charges in each of the respective regions are shown below. What is the electric flux, E = f. Ē · dã, given by Gauss' law through the closed surface S? Not uniform along S as the charge is not uniform A line of charge with linear charge density i = 29 nC/m is enclosed in a Gaussian cylinder with height h = 18.2 mm and radius r = 4.3 mm as shown below. What is the magnitude of the total electric flux passing through the cylinder in Nm2/C? Round your answer to the nearest whole number. Your Answer:Below is a solid sphere of insulating materials (meaning that once placed, charge will not move around even when it feels a force). This sphere has a changing charge density given by the equation below. This tells you that there is more charge near the outer edges (when r is larger) then near the center (when r is small) since the charge density is proportional to r^2. In the image R is the total radius of the sphere and r is the distance from the center you will be asked about. There values are below. You have to calculate the amount of charge enclosed with the radius of r to find the electric field. You'll need to integrate to do this - that's where the charge density equation below will be used. Use Gauss's Law to find the Electric Field magnitude at a distance r from the center of the sphere. Make sure to think about charge enclosed and how to find it. It is a little more complicated in this problem. Be careful with your 2 radial values (R and r).Consider an infinite line of charge with a constant charge density of À lying on the z-axis. Using Coulomb's law to write the equation of dĎ at any point (xo, 0, 0). Write all vectors in vector notation clearly also draw the figure showing all the important vectors as you saw in the video lectures as well as in our class lectures.PlzA point charge 100 PC is located at (4, l , —3) while the x-axis carries charge 2 nC/m. If the plane z 3 also carries charge 5 nC/m2 , find E at (l, l, l).Two large rectangular sheets of charge of side L are parallel to each other and separated by a distance d (d << L). The left and right sheets have surface charge densities of 4.4 μC/m2 and -18.9 μC/m2, respectively. Points A, B, C, and D are outside the sheets near the center of the squares. Take +x to be to the right. 1. Assume point A is at a distance 0.1d from the left sheet. Find the value of the electric field, in newtons per coulomb with its sign, at point A. 2. Assume point B is at a distance 0.25d from the left sheet. Find the value of the electric field, in newtons per coulomb with its sign, at point B. 3. Assume point C is at a distance 0.4d from the right sheet. Find the value of the electric field, in newtons per coulomb with its sign, at point C. 4. Assume point D is at a distance 0.1d from the right sheet. Find the value of the electric field, in newtons per coulomb with its sign, at point D.There are 3 thin conductive infinitly thin spherical shells with a charge on each shell of +2Q. The innermost shell has a radius of R. Another of the shells has a radius of 2R. The outermost shell has a radius of 3R. Draw a graph of E vs R. Make sure to show the values of E(3R), E(2R), and E(R). Note: (put R on the x axis)An infinitely long rod lies along the x-axis and carries a uniform linear charge density λ = 5 μC/m. A hollow cone segment of height H = 27 cm lies concentric with the x-axis. The end around the origin has a radius R1 = 8 cm and the far end has a radius R2 = 16 cm. Refer to the figure. a. Consider the conic surface to be sliced vertically into an infinite number of rings, each of radius r and infinitesimal thickness dx. Enter an expression for the electric flux differential through one of these infinitesimal rings in terms of λ, x, and the Coulomb constant k. b. Integrate the electric flux over the length of the cone to find an expression for the total flux through the curved part of the cone (not including the top and bottom) in terms of λ, H, and the Coulomb constant k. Enter the expression you find. c. Calculate the electric flux, in N•m2/C, through the circular end of the cone at x = 0. d. Calculate the electric flux, in N•m2/C, through the circular end of the cone at x = H. e.…The first part is the question, however I'm asking for help on subpart D & E.A ball of conductor of radius RE has total Charge 2Q and a concentric spherical cavity of radius R₁ > RE. At the exact center of the cavity is a charge 3Q. Find the charge q at the radius RE and supply the missing numerical factor below. q=1 QPlease don't provide handwritten solution .....SEE MORE QUESTIONS