A charge distribution has the charge density given by p = Q{s(x– x,)– 8(x+ x, }. For this charge distribution the electric field at (2x,,0,0)
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- Density, density, density. (a) A charge -361e is uniformly distributed along a circular arc of radius 5.40 cm, which subtends an angle of 41°. What is the linear charge density along the arc? (b) A charge -361e 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 -361e is uniformly distributed over the surface of a sphere of radius 4.60 cm. What is the surface charge density over that surface? (d) A charge -361e is uniformly spread through the volume of a sphere of radius 3.30 cm. What is the volume charge density in that sphere?Q: A long thin wire carrying a uniform line charge density +λ runs down the center of a long cylindrical tube of radius R carrying a line charge density -2λ distributed uniformly over its surface. Find expressions for the electric field as a function of radial distance r from the axis of the wire for (a) r<R and (b) r>R. Use a minus sign to indicate a field pointing inward. In this question would area, A=2πrL where L is the length of the wire and why is that?The figure shows the interface between two linear dielectrics, silicon and silicon dioxide with relative permittivities 12 and 4 respectively. The interfaces of the two materials are perpendicular to the 2 as shown in the figure, and can contain an interface charge density, p. An electric field in silicon dioxide (region 1) is given as : 4î + 6k kV/m. D₁ and D₂ are the corresponding electric displacements in regions 1 and 2 respectively. The questions on this page are all based on this E₁ = system. Р E2, D2, E₁, D₁ Region 2: Si Er2 = 12 Er1 = 4 Region 1: SiO₂ N 12, X
- An insulating solid sphere of radius a has a uniform bulk density ρ and a total positive charge Q. Calculate the magnitude of the electric field at a point outside the sphere.Some types of molecules that do not possess an intrinsic electric dipole moment can be given one by an external electric field in a process called charge separation, or polarization. In this process, their internal charge distribution becomes distorted by the field, which results in the region of a molecule on the side in the direction of the field gaining a positive net charge and the region on the other side gaining a negative net charge. Both charges have equal magnitudes, and the electric neutrality of the molecule as a whole is maintained. The electric field is said to induce an electric dipole moment in such a molecule. When the field is canceled, the molecule reverts to its unpolarized state and loses its electric dipole moment. The electric behavior of such a molecule can be modeled by a pair of ±1.60×10^−19 C charges connected by a spring with force constant 0.000711 N/m. The spring must be imagined as possessing zero relaxed length so that normally the charges overlap and the…Point P sets above an infinite line of charge 2 m in the positive z direction. The line of charge itself has a charge density ? of -5.0 x 10⁶ C/m. What is the magnitude of the electric field at point P?
- A line of charge starts at x = xo and extends to positive infinity. The lincar charge density is A (x) = Ao, where Xo is a constant. Determine the electric ficld at the origin.An infinite cylinder of radius R has a charge density given by p(r) = ar³, where r is the perpendicular distance from the axis of the cylinder, and a is a constant. Show that the electric field for r > R given by aRT E(r) : 7€or is the same as that obtained if all the charge is concentrated in an infinitely thin wire.A 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.
- An insulating sphere of radius R has a non-uniform charge density given byp = Ar 2 for r R. Find the electric field both inside and outside the sphere.A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).A disk with radius R and uniform positive charge density o lies horizontally on a tabletop. A small plastic sphere with mass M and positive charge hovers motionless above the center of the disk, suspended by the Coulomb repulsion due to the charged disk. At what height h does the sphere hover? Express your answer in terms of the dimensionless constant v = 20 Mg/ (Qo). Express your answer in terms of some or all of the variables R and v. h = R- 1-v √(2-v)v Submit Part C h = Previous Answers Correct If M = 300 g, Q = 1.0 μC, R = 6.0 cm, and o = 10 nC/cm², what is h? Express your answer with the appropriate units. μᾶ Value 2 Units Submit Previous Answers Request Answer ? <