A charge of uniform linear density 2.80 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.80 cm, outer radius = 9.20 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r= 15.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?
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- In the figure a nonconducting rod of length L = 8.42 cm has charge -q = -4.23 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 13.0 cm from the rod? What is the electric field magnitude produced at distance a = 52 m by (d) the rod and (e) a particle of charge -q = -4.23 fC that replaces the rod?All or noneIn the figure a nonconducting rod of length L = 8.26 cm has charge -q = -4.55 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 14.1 cm from the rod? What is the electric field magnitude produced at distance a = 77 m by (d) the rod and (e) a particle of charge -q = -4.55 fC that replaces the rod?
- A sphere of radius R₁ = 0.320 m and uniform charge density 10.5 μC/m³ lies at the center of a neutral, spherical, conducting shell of inner and outer radii R₂ = 0.558 m and R3 = 0.730 m, respectively. Find the surface charge density on the inner and outer surfaces of the shell. inner surface charge density: outer surface charge density: µC/m² µC/m² R₁ R₂ R3Charge of uniform volume density ρ = 2.10 µC/m3 fills a nonconducting solid sphere of radius 6.20 cm. What is the magnitude of the electric field (a) 3.00 cm and (b) 8.80 cm from the sphere's center?A long insulating cylindrical shell has an inner radius of a=1.39 m and an outer radius of b=1.64 m. The shell has a constant charge density of 8.6×10-9 C/m3 . The picture shows an end-on cross-section of the cylindrical shell. a) What is the magnitude of the electric field at a distance of r=1.88 m from the axis? b) What is the magnitude of the electric field at a distance of r=1.56 m from the axis? c) What is the magnitude of the electric field at a distance of r=0.87 m from the axis?
- Chapter 23, Problem 032 that is a function of radial distance r from the cylinder axis: ρ = AP. For A long, nonconducting, solid cylinder of radius 4.5 cm has a nonuniform volume charge density A 1.9 uC/m5, what is the magnitude of the electric field at (a)r 1.8 cm and (b)r- 6.3 cm (a) Number (b) Number Units UnitsFigure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by Es= 3.0 × 10³ N/C. What is the linear charge density of the shell? (a) Es 0 -Es Number i -12.68 r (cm) (b) Units nC/m 14.4A long, conductive cylinder of radius R1=2.80 cm and uniform charge per unit length 1-453 pC/m is coaxial with a long, cylindrical, nonconducting shell of inner and outer radii R2=9.80 cm and R3=11.2 cm, respectively. If the cylindrical shell carries a uniform charge density of p=79.8 pC/m3, find the magnitude of the electric field at each radial distance indicated. 1.15 cm: 8.96 cm: 10.6 cm: 14.3 cm:
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