+Q -a BA The figure above shows a solid insulating sphere of radius R2 with charge -Q (Q > 0) distributed uniformly throughout the volume. This sphere is centered within a thin spherical shell of radius R1; a charge +Q is distributed uniformly on the surface of the spherical shell. Very far away from the sphere and the spherical shell, the electric potential is zero. Use k for Coulomb's constant. At point A on the surface of the spherical shell, what is the electric potential VĄ? VA = Point B is on the surface of the sphere. What is the potential difference, VB – VA? VB – VA = Point C'is at the center of the sphere. What is the potential difference, Vc – VB? Ve - VB =
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Using Gauss law Electric field is calculated after that Electric Potential is derived. Electric field inside a shell is zero.
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- 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?An insulating solid spherical shell has inner radius A and outer radius 1.9A. Charge is uniformly distributed throughout the shell with a charge density of +Z. The charge enclosed inside the spherical shell can be written as Q=fZA3 where f is a numerical value with no units. What is the value of f? (Answer should have three significant digits.)A 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 m2
- A solid insulating cylinder having a radius a = 1m and length L = 3m is inside and concentric with a conducting cylindrical shell having an inner radius b = 2m and outer radius c = 3m. If the charge density on the solid cylinder is 1C/m^3, determine the charge density at a. r = b b. r = cSpherical 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 QWhat is the linear charge density of a thin wire bent into a circle (or ring) of radius 6.48 cm if the total charge on the wire is 3.86 µC? Give your answer in μC/m.
- = Three uniform charge distributions are present in a region: an infinite sheet of charge, a finite line charge, and a ring of charge. The infinite sheet of charge at (x, -3, z), where x and z spans from negative to positive infinity, has a charge density Ps 5 nC/m². The finite line charge at (0, -1, z), where z ranges from -2 to 2, has a charge density -4 nC/m. Finally, the ring of charge, with a radius of 3m and charge density PL 2 nC/m, is parallel to the xz-plane centered at (0, 4, 0). All coordinates are in meters. Use the value k = 9 x 10⁹ in your solutions and = answers. Question: Determine the magnitude the electric field due to the infinite sheet charge only at (0, 2, 0).A solid insulating sphere of radius 5 cm carries electric charge uniformly distributed throughout its volume. Concentric with the sphere is a conducting spherical shell with no net charge as shown in the figure below. The inner radius of the shell is 10 cm, and the outer radius is 15 cm. No other charges are nearby. A sphere is enclosed by and concentric with a larger spherical shell. The sphere and shell are separated by empty space. Four points are lined up horizontally and labeled as follows. Point A is inside the sphere. Point B is in the empty space between the sphere and shell. Point C is in the interior of the shell. Point D is outside of the shell. (a) Rank the magnitude of the electric field at points A (at radius 4 cm), B (radius 8 cm), C (radius 12 cm), and D (radius 16 cm) from largest to smallest. Display any cases of equality in your ranking. (Use the letters A, B, C, and D to rank the magnitude. Use only ">" or "=" symbols. Do not include any parentheses around…A conducting sphere with radius a is surrounded by a concentric nonconducting spherical shell with inner radius b and outer radius c. The inner sphere has a negative charge -Q while the spherical shell has a positive charge Q uniformly distributed throughout its volume. The distance from the center is r. Which of the following statements is FALSE? 0 a b c A. E is proportional to 1/r2 for a c. D. E=0 for rA point charge, q = -5.00 nC, and m = 2.00 x 10-14 kg, is shot vertically upward with an initial speed of 2.00 x 103 m/s from a thin, infinite, planar sheet of uniform charge with surface charge density of σ = +4.00 (nC)/m^2. To what vertical elevation will q rise above the sheet of charge? Neglect gravity. a. 2.43 cm b. 0.635 cm c. 1.20 cm d. 3.54 cm e. 1.97 cm+ + + + + + + + -d 0 +|+d + + A flat slab of nonconducting material has thickness 2d, which is small compared to direction of the slab's thickness with the origin at the center of the slab. This slab charge density its height and breadth. As shown in the figure, the x axis is defined to be along the in the region p(x) = -Po carries volume a -dAn infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.15 μC/m2. A thin wire, with linear charge density λ = 1.1 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them. A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? C) Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.SEE MORE QUESTIONSRecommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. 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