Show that the mean-square charge radius of a uniformly charged sphere is = 3R2/5
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Show that the mean-square charge radius of a uniformly charged sphere is
<r2> = 3R2/5 ?
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- Density, density, density. (a) A charge -328e is uniformly distributed along a circular arc of radius 6.00 cm, which subtends an angle of 72°. What is the linear charge density along the arc? (b) A charge -328e is uniformly distributed over one face of a circular disk of radius 3.50 cm. What is the surface charge density over that face? (c) A charge -328e is uniformly distributed over the surface of a sphere of radius 2.00 cm. What is the surface charge density over that surface? (d) A charge -328e is uniformly spread through the volume of a sphere of radius 3.30 cm. What is the volume charge density in that sphere? (a) Number Units (b) Number Units (c) Number Units (d) Number UnitsA dielectric rod with cross-section area of A and polarization of Px = ax² + b is extended from x = 0 to x = L. (a) Calculate the bound volume charge density and bound surface charge density. b) Determine the total bound charge.The classic Millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against gravity by a vertical electric field. microscope Assume the oil drop to be 1.90 µm in radius and have a density of 922 kg/m3. (a) Find the weight of the drop. N (b) If the drop has a single excess electron, find the magnitude of the electric field strength needed to balance its weight. N/C
- Problem 2: A certain lightning bolt moves Q = 35 C of charge. How many fundamental units of charge e is this? N = I sin() cos() cotan() asin() atan() acotan() cosh() tanh() O Degrees O Radians tan() π 7 acos() E ^^^ 4 sinh() 1 cotanh() * 8 9 5 6 2 3 + 0 VO BACKSPACE DEL HOME END CLEARA circular plastic disk with radius R = 2.00 cm has a uniformly distributed charge Q = +(2.00 x 106)e on one face. A circular ring of width 30 µm is centered on that face, with the center of that width at radius r = 0.50 cm. In coulombs, what charge is contained within the width of the ring?A 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 gravity
- The classic Millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against gravity by a vertical electric field. GI Assume the oil drop to be 2.20 μm in radius and have a density of 957 kg/m³. (a) Find the weight of the drop. N + microscope (b) If the drop has a single excess electron, find the magnitude of the electric field strength needed to balance its weight. N/CA particle of mass 5.4×10^−6 g and a charge of −2 nC starts out traveling horizontallyat 500 m/s straight between two oppositely charged plates separated by 3 cm. The plateshave surface charge densities of 9 µC/m^2Determine the following:a) How long till it impacts either plate?b) How far will it travel horizontally until it impacts one of the plates?