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Q: d
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Q: A 2.0 pC point charge is placed at the center of a conducting spherical shell (inner radius = 2.0…
A: Ans: Image-1
we place a total positive charge q on a solid
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- Problem 12: A uniformly charged rod of length L = 1.4 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 8.2 μC. A point P is located on the x-axis a distance a = 1.8 m to the right of the origin. Part (a) Consider a thin slice of the rod of thickness dx located a distance x away from the origin. What is the direction of the electric field at point P due to the charge on this thin slice of the rod? Part (b) Write an equation for the electric field dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, a, dx, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod. Part (c) 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. Part (d) Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged…Problem 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…z-axis Problem 9: A solid disk of radius R = 17 cm lies in the y-z plane with the center at the origin. The disk carries a uniformly distributed total charge Q = 65 µC. A point P is located on the positive half of the x-axis a distance 15 cm from the origin. Refer to the diagram, where the y- and z-axes lie in the plane of the screen and the x-axis points out of the screen. X-axis у-ахis Part (a) Enter an expression for the surface charge density o in terms of the total charge and radius of the disk. Expression : O = Select from the variables below to write your expression. Note that all variables may not be required. a, B, n, 0, b, d, dr, g, h, m, P, Q, r, R, t Part (b) Consider a thin ring of the disk of width dr located a distance r from the center. Enter an equation for the infinitesimal charge in this thin ring in terms of Q, R, r, and dr. Expression : dQ = Select from the variables below to write your expression. Note that all variables may not be required. a, B, T, 0, b, d, dr,…
- (a) Figure (a) shows a nonconducting rod of length L = 9.00 cm and uniform linear charge density λ = +7.57 pC/m. Take V = 0 at infinity. What is V at point P at distance d = 5.20 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 7.57 pC/m. With V = 0 at infinity, what is V at P? (a) Number i (b) Number i ·+· -L/2 (a) Units Units L/2 +‡ ‡ ‡+3= L/2 .Р (b) L/2A charged metal sphere of radius Rs and a charged, flat metal disk of radius Rp are connected by a long conducting wire. The sphere has a charge Qs (assume it is uniformly distributed on its surface). What is Qp, the charge on the disk (assume it is uniformly distributed on its surface)? Give your answer in nC to at least three digits to avoid being counted off due to rounding. Rs = 0.40 m, Rp = 0.33 m, Qs = 29.3 nC Sphere Qs, Rs 2D Disk QD, RD(a) Figure (a) shows a nonconducting rod of length L = 5.40 cm and uniform linear charge density λ = +4.41 pC/m. Take V = 0 at infinity. What is V at point P at distance d = 9.30 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 4.41 pC/m. With V= 0 at infinity, what is V at P? (a) Number i (b) Number i P ‡ ‡ ‡ ‡ + + + +‡‡ ‡ ‡‡ L/2 L/2 Units Units [+ + + ++++G ·L/2 L/2-
- In the figure an electron (e) is to be released from rest on the central axis of a uniformly charged disk of radius R. The surface charge density on the disk is +4.11 μC/m2. What is the magnitude of the electron's initial acceleration if it is released at a distance (a) R, (b) R/139, and (c) R/1280 from the center of the disk? I just need (b) and (c). I know a is 1.19E16.A solid insulating sphere has total charge Q and radius R.The sphere’s charge is distributed uniformly throughout its volume.Let r be the radial distance measured from the center of the sphere. IfE = 800 N/C at r = R/2, what is E at r = 2R?Spherical shell of inner radius R₁ = 1.3R and outer radius R₂ = 4.15R is filled uniformly with charge density p. A point charge Q = 4.8q is located at point A a distance 7.99 R from the center of the sphere. What is the magnitude of the force acts on the sphere by the point charge. Express your answer in terms of qpR/ using two decimal places. R2 Answer: R₁ P A Q
- A solid, conducting sphere of radius a carries an excess charge of +6 µC. This sphere is located at the center of a hollow, conducting sphere with an inner radius of b and an outer radius of c as shown. The hollow sphere also carries a total excess charge of +6 µC. b Determine the excess charge on the inner surface of the outer'sphere (a distance b from the center of the system). O zero coulombs O +6μC Ο +12 μC O -6 μC Ο -12 μC(a) Figure (a) shows a nonconducting rod of length L-5.10 cm and uniform linear charge density = +8.35 pC/m. Take V = 0 at infinity. What is V at point P at distance d = 7.60 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 8.35 pC/m. With V-0 at infinity, what is V at P? P L/2 L/2- (a) L/21/2 (b) (a) Number i Units (b) Number i UnitsIn deep space two spheres each of radius 5.00 m are connected by a 3.00 × 102 m nonconducting cord. If a uniformly distributed charge of 35.0 μC resides on the surface of each sphere, calculate the tension in the cord.