A long cylinder of copper of radius 2 cm is charged so that it has a uniform charge per unit length on its surface of 6 C/m. (a) Find the electric field inside and outside the cylinder at a distance r from the center of the cylinder. (Enter the radial component of the electric field. Use any variable or symbol stated above along with the following as necessary: epsilon(naught). Assume E is in N/C and r is in meters. Do not include units in your answer

A long cylinder of copper of radius 2 cm is charged so that it has a uniform charge per unit length on its surface of 6 C/m. (a) Find the electric field inside and outside the cylinder at a distance r from the center of the cylinder. (Enter the radial component of the electric field. Use any variable or symbol stated above along with the following as necessary: epsilon(naught). Assume E is in N/C and r is in meters. Do not include units in your answer

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 101P: In this exercise, you practice electric field lines. Make sure you represent both the magnitude and...

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Repeat your calculations for the preceding problem (shown below),given that the charge is distributed uniformly over thesurface of a spherical conductor of radius 10.0 cm. A charge of −30 μC is distributed uniformlythroughout a spherical volume of radius 10.0 cm.Determine the electric field due to this charge at a distanceof (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the centerof the sphere.
A long cylinder of copper of radius 2 cm is charged so that it has a uniform charge per unit length on its surface of 6 C/m. (a) Find the electric field inside and outside the cylinder at a distance r from the center of the cylinder. (Enter the radial component of the electric field. Use any variable or symbol stated above along with the following as necessary: epsilon(naught). Assume E is in N/C and r is in meters. Do not include units in your answer.) (b) Draw electric field lines in a plane perpendicular to the rod.
A cylinder of diameter 1.72 m is in a region where the electric field is as shown in the figure below. If E1 = 42.4 N/C and E2 = 23.1 N/C, what is the net flux through the two end faces of the cylinder? Note that the diagram is not to scale.
In this exercise, you practice electric field lines. Make sure you represent both the magnitude and direction of the electric field adequately. Note that the number of lines into or out of charges is proportional to the charges. (a) Draw the electric field lines map for two charges +20C and 20C situated 5 cm from each other. (b) Draw the electric field lines map for two charges +20C and +20C situated 5 cm from each other. (c) Draw the electric field lines map for two charges +20C and 30C situated 5 cm from each other.
The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?
This equation is of the electric charge of a uniform disk which is charged at point z which is perpendicular to the center of the disk. (z=0 is part of the plane of the disk). R= radius of disk, Q= total charge of disk, k= coulomb's constant. If k=1 units, Q=1 units, R=8 units, what is Edisk, z when z=6 units?
Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge density −η, where the charge density is charge per unit area. What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of η, R, a, and the permittivity of free space ϵ0.
A flat sheet of paper of area 0.355 m2 is oriented so that the normal to the sheet is at an angle of 55 ∘ to a uniform electric field of magnitude 12 N/C Find the magnitude of the electric flux through the sheet. Does the answer to part A depend on the shape of the sheet? For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet largest? For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet smallest? Explain your answers in parts C and D.
PLEASE SOLVE ASAP A. A sphere of radius a has volume charge density p = bor where bo is constant and r is the distance from the center of the sphere. The total charge of the sphere is Q. Find bo in terms of a, Q, and fundamental constants. Now the sphere with charge Q is placed at the center of a thick metal spherical shell with inner radius b, outer radius c, and total charge q. Find the value of the electric field: b. Outside the central sphere but within the hollow metal shell, a < r < b c) Within the shell, bc
Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?
The charge per unit length on the thin rod shownbelow is λ . What is the electric field at the point P? (Hint:Solve this problem by first considering the electric fieldd E→ at P due to a small segment dx of the rod, whichcontains charge dq = λdx . Then find the net field byintegrating d E→ over the length of the rod.)
Compute the electric field experienced by a test charge q = + 0.80 µC from a source charge q = + 15 µC in a vacuum when the test charge is placed 0.20 m away from the other charge.