An infinite cylinder of radius R = 11.9 m, has a volume charge density of p(r) = 0.6r × 10-12 C/m³ Using Gauss's law, what is the electric field (in N/C) at a distance of r = 9 m from the cylinder's axis.
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- Positive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the electric field is Ē(r) = kr-1/4 f, where k is a positive constant. There is no charge outside the sphere. a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density, p. b) Determine the electric field, E(r), for r > R (outside the sphere). c) What is the potential difference between the center of the sphere (r = 0) and the surface of the sphere (r = R)? d) What is the energy stored in this electric charge configuration?A long nonconducting cylinder (radius 6.0 mm) has a nonuniform volume charge density given by ar, where a= 6.2 mC/m' and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?The electric field at a distance of 0.154 m from the surface of an insulating solid sphere of radius 0.385 m is 1970 N/C. Assuming that the charge on the sphere is uniformly distributed, a) what is the charge density within it? b) Calculate the electric field inside the sphere at a distance of 0.150 m from the center.
- The volumetric charge density of a cylinder of radius R is proportional to the distance to the center of the cylinder, that is, ρ = Ar when r≤R, with A being a constant. (a) Sketch the charge density for the region - 3R < r < 3R. What is the dimension of A?b) Calculate the electric field for a point outside the cylinder, r > Rc) Calculate the electric field for a point inside the cylinder, r<R.d) Sketch ExrThe volumetric charge density of a sphere of radius R is given by p = alpha - alpha.r / R (alpha is a constant and r is the radial distance from the center of the sphere. A) What is the total charge of the sphere? b) What is the electric field in the inner and outer regions of the sphere? provided withCharge is distributed throughout a spherical shell of inner radius r1 and outer radius r2 with a volume density given by ρ = ρ0 r1/r, where ρ0 is a constant. Determine the electric field due to this charge as a function of r, the distance from the center of the shell.
- A spherical insulating sphere has a radius of 0.4 m. The electric field on the surface of the sphere is measured to be 8.9×10^3 N⁄Cand points radially toward the center. Calculate the average volume charge density (ρ ) in (C/m3) of the sphere?A long, nonconducting, solid cylinder of radius 5.3 cm has a nonuniform volume charge density p that is a function of radial distance r from the cylinder axis: p- Ar2. For A-3.5 uC/ms, what is the magnitude of the electric field at (a) r= 1.5 cm and (b) r- 11 cm. (a) Number Units (b) Number Units eTextbook and Media Hint GO Tutorial Save for Later Attempts: unlimited Submit Answerhe electric field at a distance of 0.6 m from the center of an insulated solid sphere with a radius of 0.375 m is 1750 n/c. If the charge of the sphere is evenly distributed over its volume, what is the charge density (c/m3) of the sphere?