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A: Given data R = 0.122 m a = 1.48×10-6 cm3y = 36 ×1100 = 0.36 mε° = 8.85 ×× 10-12c2Nm2
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What is the energy required to bring a point charge ? from very far to a distance ? from the center of an insulating sphere of radius ? with charge ?, assuming uniform charge density and d > R? What if the sphere is replaced with a hollow spherical conductor of charge -Q and radius R, what would the energy required be then? Hint: you don’t have to re-derive the potential due to a charged sphere again.
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- (a) What is the potential between two points situated 10 cm and 20 cm from a 3.0C point charge? (b) To what location should the point at 20 cm be moved to increase this potential difference by a factor of two?From a distance of 10 cm, a proton is projected with a speed of v=4.0106 m/s directly at a large, positively charged plate whose charge density is =2.0105 C/m2. (See below.) (a) Does the proton reach the plate? (b) If not, how far from the plate does it turn around?Problem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: What is The rate of change of the potential with respect to length or displacement in the conductor
- Problem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points Aand B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to bemoved from A to B, determine the following:b.) The electric potential energy at BProblem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: What is The electric potential energy at B;A very long line charge having a charge density X is surrounded by a conducting cylindrical shell with inner radius r;= 5.29 cm and outer radius re = 7cm as shown in the figure. System is in electrostatic equilibrium condition. What would be the electric potential difference AV = V(r= 2.23 cm) - V(r= 6.2 cm) ? Provide your answer in terms of Ak with 2 significant figures. 2
- Problem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: %3D a. The potential at A;Problem 3. Z P y a) Find the potential of a thin disk of radius R cov- ered with a surface charge density o at a point P = (0, 0, z) on its axis of symmetry as shown. b) Then expand the result to leading order in the two limits R » zand z » R and in- terpret/identify the potentials in both of these cases.A very long line charge having a charge density À is surrounded by a conducting cylindrical shell with inner radius r₁ = 4.9 cm and outer radius ro = 7cm as shown in the figure. System is in electrostatic equilibrium condition. What would be the electric potential difference AV = V(r= 2.86 cm) - V(r= 6.2 cm) ? Provide your answer in terms of Ak with 2 significant figures. 2
- An infinitely long cylinder of radius R has linear charge density A. The potential on the surface of the cylinder is Vo, and the electric field outside the cylinder is Part A Er 2TEor Find the potential relative to the surface at a point that is distance r from the axis, assuming r > R. Express your answer in terms of the variables A, r, R, Vo, and appropriate constants. ΑΣφ ? V, = Submit Request AnswerAn insulated solid sphere of radius R has a uniform charge density . Compute the electric poten-tial everywhere i.e. inside and outside. Draw a potential vs r graph.Consider a cube made up of eight charges, each with equal magnitude q but alternating sign as shown in the figure on the right. This assembly is called an electric octopole, and is also the basis for simple cubic crystal lattices formed of opposite ions, such as NaCl (table salt). At this scale we may neglect gravity. a) What's the potential energy Udip required to assemble just two opposite charges into a single edge of this cube? This forms an electric dipole. (Hint: It doesn't take any energy to "assemble" the first charge.) +9 +9 d b) What's the potential energy Uquad required to assemble four charges into a single face of this cube? This forms an electric quadrupole. +9 -9 +9 c) What's the potential energy Uoet required to assemble all eight charges into the octopole? (Hint: For a cube there are a lot of pairings between charges, specifically (9) = 28, comprised of the shown edges, as well as several diagonals. Instead of adding the contribution to the potential for bringing in…
