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A total charge Q is distributed uniformly throughout a spherical shell of inner and outer radii
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- →X +d + + A flat slab of nonconducting material has thickness 2d, which is small compared to its height and breadth. As shown in the figure, the x axis is defined to be along the direction of the slab's thickness with the origin at the center of the slab. This slab carries volume charge density p(x) = -Po in the region a -darrow_forwardProblem 5: A thin rod of length L = 1.9 m lies along the positive y-axis with one end at the origin. The rod carries a uniformly distributed charge of Q1 = 5.2 µC. A point charge Q2 = 10.4 uC is located on the positive x-axis a distance a = 0.45 m from the origin. Refer to the figure. dy y X a Part (a) Consider a thin slice of the rod of thickness dy located a distance y away from the origin. What is the direction of the force on the point charge due to the charge on this thin slice? MultipleChoice : 1) Along the positive x-axis 2) Above the negative x-axis 3) Below the positive x-axis 4) Not enough information to determine 5) There is no force between the point charge and the slice of the rod 6) Above the positive x-axis 7) Below the negative x-axis Part (b) Choose the correct equation for x-component of the force, dFx, on the point charge due to the thin slice of the rod. SchematicChoice : kQ1Q2ady Q1Q2ady kQ,Q2ady dF dF, = L(a² + y²) dFx 3 3 L(a² + y²)ž L(a² + y²)ž kQ1Q2ydy kQ,Qzydy…arrow_forwardA point charge, q = -5.0 nC, and m = 2.0 x 10-18 kg, is shot vertically upward with an initial speed of 3.0 x 105 m/s from a thin, infinite, planar sheet of uniform charge with surface charge density of σ = +4.0 nC/m^2 . To what vertical elevation will q rise above the sheet of charge? Neglect gravityarrow_forwardA thin rod of length L = 1 m lies along the x axis with its left end at the origin. It has a uniform linear charge distribution 2 =-3.2 C/m. How many electrons are there on the rod contributing to the total charge?arrow_forwardA solid insulating sphere of radius 0.06 cm carries a total charge of 30 nC. Concentric with this sphere is a conducting spherical shell with an inner radius of 0.13 cm and an outer radius of 0.17 cm and carrying a total charge of -15 nC. Find the charge distribution for the outer surface of the conducting spherical shell. O 4.130 m2 4 C 4.130x10 m2 -5 C 4.130x10 m2 -8 C 4.130x10 m2arrow_forwardThree distribution of charges are present in free: space with: A uniform line charge of p₁ = 3 μC/m lies along z-axis. MC/m 3 μC / m 3 A concentric circular cylinder of radius 2 m has p, = 5 A concentric circular cylinder of radius 4 ≤r ≤ 5 has pv Find D at a) r=1 b) r-3 c) r=6 (a) 0.0477*10^-6 C/m^2, (b) 3.05*10^-6 C/m^2, (c) 0.0022*10^-6 O C/m^2 (a) 4.77*10^-6 C/m^2, (b) 3.5*10^-6 O C/m^2, (c) 0.22*10^-6 C/m^2 (a) 0.477*10^-6 C/m^2, (b) 3.5*10^-6 C/m^2, (c) 0.022*10^-6 C/m^2 (a) 0.477*10^-5 C/m^2, (b) 3.5*10^-6 C/m^2, (c) 0.022*10^-5 O C/m^2arrow_forwardThe figure shows a proton (p) on the central axis through a disk with a uniform charge density due to excess electrons. Three of those electrons are shown: ec at the disk center and electrons es at opposite sides of the disk, at radius R = 1.49 cm from the center. The proton is initially at distance z = R = 1.49 cm from the disk. At that location, what are the magnitudes of (a) the electric field E→c due to the electron ec and (b) the net electric field E→s,net due to electrons es? The proton is then moved to z = R/10.0. What then are the magnitudes of (c)E→c and (d) E→s,net? Note that the magnitude of E→c increases while the magnitude of E→s,net decreases.arrow_forwardTwo infinite sheets plates with the same uniform charge density of 8.0 µC/m2 are vertically placed and parallel to each other. a distance d apart along the yz-plane. One plane passes through x = 3 cm while the other plate passes through x = -3 cm. The magnitude of the net electric field at the point (x = 5, y = 0, z = 0) is nearly Question 3 options: None of these 9.0 x 105 N/C 0 4.5 x 105 N/Carrow_forwardA uniformly charged rod of length L lies along the x-axis with its right end at the origin. The rod has a total charge of Q. A point P is located on the x-axis a distance a to the right of the origin. Write an equation for the electric field dE at point P due to the thin slice of the rod dx. Give the answer is terms of the variables Q, L, x, a, dx, and coulombs constant k. Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P. Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged rod if L = 2.2m, Q = 8.5 μC and a = 1.1m.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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