(20 pts) A thick, infinitely long cylinder, with radius R is uniformly charged with volume charge...
(1) Consider a very long uniformly charged cylinder with volume charge density p and radius R (we can consider the cylinder as infinitely long). Use Gauss's law to find the electric field produced inside and outside the cylinder. Check that the electric field that you calculate inside and outside the cylinder takes the same value at a distance R from the symmetry axis of the cylinder (on the surface of the cylinder) .
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as p po (a-where po a and b are positive constants and ris the distance from the axis of the cylinder. Use Gauss's law to determine the magnitude of the electric field at radial distances (a) r< R and (b)r>R
mall portion of an infinitely long cylinder is shown. The radius of the cylinder is R = 4 m and the charge is uniformly distributed throughout the cylinder with a volume charge density of ρ = 0.6 nC/m^3. Gauss's law to find the magnitude of the electric field at a distance r 18 m from the center of the cylinder as shown. Your answer should be in units of N/C. Use Submit Answer Tries /2
Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 2.00×10-2 m. The charge density is 3.00×10-2 C/ m3. What is the electric field at r = 1.00×10-2 m? What is the electric field at r = 4.00×10-2 m?
Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 4.00×10-2 m. The charge density is 6.00×10-2 C/ m3. What is the electric field at r =8.00×10-2 m?
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as given by the following expression where po. a, and bare positive constants and ris the distance from the axis of the cylinder Use Gauss's law to determine the magnitude of the electric field at r R. (Use the following as necessary: E0. Po. a, b, r, and R 2πεο 2.03b c) c) 2. R 3.b e) Po
An infinitely long straight wire is uniformly charged with a positive linear charge density +?. It is surrounded by an insulating hollow cylinder (also infinitely long) of inner radius R and outer radius 2R. The hollow cylinder has a uniform charge density ?. (a) Determine the value of ? if the electric field vanishes at every point outside the cylinder (r > 2R). (b) Determine the electric field in the region 0 < r < R. (c) Determine the electric...
P2. A uniformly-charged sphere of radius R is placed near a uniformly-charged long cylinder of radius R, as shown. Each has charge density p. (a) Determine the electric field at the point (a), directly midway between the sphere and the cylinder. 6R (b) Determine the electric field at point (b), a distance 6R from both the sphere and the cylinder 6R 3R
Consider an infinitely long cylinder with a volume charge density of p(rho) and radius a. Determine the electric field inside the cylinder at r=b (where ba).)>
Consider a very long, round, solid nonconductive cylinder of radius R with a volume charge density of rho = -Cr, centered on the z-axis. Where r is the distance from the z-axis, and C is a positive constant. a) What are the units for C? Use Gauss's Law to find the electric field everywhere in space in and around this charged rod, at b) r lessthanorequalto R and c) r > R. This cylinder is long enough that you can...