A cylindrical shell of radius 10 cm and length 256 cm has its charge density uniformly dis- tributed on its surface. The electric field intensity. at a point 28.5 cm radially outward from its axis (measured from the midpoint of the shell ) is 50500 N/C. What is the net charge on the shell? The Coulomb constant is 8.99 x 10° N m/C. Answer in units of C. Your answer must be within + 5.0% What is the electric field at a point 5.03 cm from the axis? Answer in units of N/C. Your answver must be within + 5.0%

A cylindrical shell of radius 10 cm and length 256 cm has its charge density uniformly dis- tributed on its surface. The electric field intensity. at a point 28.5 cm radially outward from its axis (measured from the midpoint of the shell ) is 50500 N/C. What is the net charge on the shell? The Coulomb constant is 8.99 x 10° N m/C. Answer in units of C. Your answer must be within + 5.0% What is the electric field at a point 5.03 cm from the axis? Answer in units of N/C. Your answver must be within + 5.0%

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 41P: Recall that in the example of a uniform charged sphere, p0=Q/(43R3). Rewrite the answers in terms of...

See similar textbooks

Similar questions

A bowling ball of regulation diameter (22.0 cm) hasn’t yet been drilled for finger holes and is charged throughout its volume. If the charge is spread uniformly and has a total value of positive 15.0.0 C, how strong is the electric field (a) 0 cm and (b) 33.0 cm from the ball’s center?
As shown in Figure, a particle of charge +Q produces an electric field of magnitude Epart at point P, atdistance R from the particle. As in figure b, that same amount of charge is spread uniformly along a circulararc that has radius R and subtends an angle ?. The charge on the arc produces an electric field of magnitudeEarc at its center of curvature P. For what value of ? does Earc = 0.50 Epart ?
A line of charge with a non-uniform charge density λ (lambda) = ay, where a=−10 nC/m2 lies along the y axis with one end at the origin and the other at y=h, where h=4.7 m a) What is the total charge?
A positive charge q = 7.81 μC is spread uniformly along a thin nonconducting rod of lengthL = 15.4 cm. What are the (a) magnitude and (b) direction (relative to the positive directionof the x axis) of the electric field produced at point P, at distance R = 6.00 cm from the rod along itsperpendicular bisector?
The field due to two parallel plates, the left with a negative surface charge density of −6.0 C/m2 whilethe sheet on the right has a positive surface charge density of +9.0 C/m2is given below. Suppose the plates were spaced 0.0020 m apart. We found that, using Gauss’s law that, independent of this distance, • In I the net field points to the left and has magnitude |Enet| = 1.69 × 1011 N/C.• In region II, between the plates, the field has magnitude 8.47×1011 N/C and points to the left• In III it points to the right and has magnitude |Enet| = 1.69 × 1011 N/C.
A small, charged, spherical object at the origin of a Cartesiancoordinate system contains 3.30 104 more electrons thanprotons. What are the magnitude and direction of the electricfield at the position (2.00 mm, 1.00 mm)?
A uniform charge of 16.0 mC is on a thin circular ring lying in an xy plane and centered on the origin.The ring’s radius is 3.00 cm. If point A is at the origin and point B is on the z axis at z = 4.00 cm, what is VB - VA?
Two long, charged, thin-walled, concentric cylindrical shells have radii of 3.0 and 6.0 cm. The charge per unit length is 5.0 *10-6 C/m on the inner shell and -7.0 *10-6 C/m on the outer shell. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 4.0 cm? What are (c) E and (d) the direction at r = 8.0 cm?
A large sheet of charge has a surface charge density of 1.9 μC/m2. What is the value, in newtons per coulomb, of the electric field magnitude just above the sheet, far from the edges.
A long solid copper cylinder has a radius of R=3.0cmR=3.0cm and a uniform (linear) surface charge density of 5.75μC/mμC/m. What is the magnitude of the electric field, in newtons per coulomb, at a distance of 1.5 cm from the symmetry axis of the cylinder?
Three narrow concentric rings of radii 50 mm, 70 mm and 90 mm are centered about the origin, with the axis of symmetry of each ring along the y axis. The charge on inner ring 1.6 microC that on the middle ring is -1.3 microC and that on the outer ring is 1.5 microC a. What is the electric field magnitude at (0,100 mm,0) ?
The figure shows a closed Gaussian surface in the shape of a cube of edge length 2.40 m. It lies in a region where the electric field is given by E→ = (1.60x + 5.85)î + 4.53 ĵ + 5.44 k̂ N/C, with x in meters. What is the net charge contained by the cube?