Consider a spherical shell with inner radius r₁ = 0.4 m and outer radius r₂ = 1 m. The hollow inside the shell contains no charge; and charge is distributed on the inside surface of the shell and within the shell itself, such that the electrical field inside the shell itself is everywhere outward pointing and of uniform constant magnitude 41 N/C. 2a What is the charge per unit area on the inner surface at r = r₁? (Please answer in Sl unit and multiply your answer by 10¹0) Answer 3.62 Show feedback 2b What is the charge per unit volume at radius r = 0.75 m (within the material of the shell)? □

Consider a spherical shell with inner radius r₁ = 0.4 m and outer radius r₂ = 1 m. The hollow inside the shell contains no charge; and charge is distributed on the inside surface of the shell and within the shell itself, such that the electrical field inside the shell itself is everywhere outward pointing and of uniform constant magnitude 41 N/C. 2a What is the charge per unit area on the inner surface at r = r₁? (Please answer in Sl unit and multiply your answer by 10¹0) Answer 3.62 Show feedback 2b What is the charge per unit volume at radius r = 0.75 m (within the material of the shell)? □

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter15: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 7CQ: Positive charge Q is located at the center of a hollow, conducting spherical shell. (a) Is the...

See similar textbooks

Similar questions

The electric field everywhere on the surface of a charged sphere of radius 0.230 m has a magnitude of 575 N/C and points radially outward from the center of the sphere. (a) What is the net charge on the sphere? (b) What can you conclude about the nature and distribution of charge inside the sphere?
Two equal and opposite charges of magnitude Q are located on the x-axis at the points +a and a , as shown below. What is the net flux due to these charges through a square surface of side 2a that lies in the yz-plane and is centered at the origin? (Hint: Deter-nine the flux due to each charge separately, then use the principle of superposition. You may be able to make a symmetry argument.)
(i) A metallic sphere A of radius 1.00 cm is several centimeters away from a metallic spherical shell B of radius 2.00 cm. Charge 450 nC is placed on A, with no charge on B or anywhere nearby. Next, the two objects are joined by a long, thin, metallic wire (as shown in Fig. 25.19), and finally the wire is removed. How is the charge shared between A and B? (a) 0 on A. 450 nC on B (b) 90.0 nC on A and 360 nC on B, with equal surface charge densities (c) 150 nC on A and 300 nC on B (d) 225 nC on A and 225 nC on B (e) 450 nC on A and 0 on B (ii) A metallic sphere A of radius 1 cm with charge 450 nC hangs on an insulating thread inside an uncharged thin metallic spherical shell B of radius 2 cm. Next, A is made temporarily to touch the inner surface of B. How is the charge then shared between them? Choose from the same possibilities. Arnold Arons, the only physics teacher yet to have his picture on the cover ol Time magazine, suggested the idea for this question.
(a) What is the electric field 5.00 m from die center of the terminal of a Van de Graaff with a 3.00-mC charge, noting that the field is equivalent to that of a point charge at the center of the terminal? (b) At this distance, what force does the field exert on a 2.00C charge on the Van de Graaff’s belt?
A continuous line of charge lies along the x axis, extending from x = +x0 to positive infinity. The line carries positive charge with a uniform linear charge density 0. What are (a) the magnitude and (b) the direction of the electric field at the origin?
(a) A panicle with charge q is located a distance d from an infinite plane. Determine the electric flux through the plane due to the charged panicle. (b) What If? A particle with charge q is located a very small distance from the center of a very large square on the line perpendicular to the square and going through its center. Determine the approximate electric flux through the square due to the charged particle. (c) How do the answers to parts (a) and (b) compare? Explain.
Consider an electric field that is uniform in direction throughout a certain volume. Can it be uniform in magnitude? Must it be uniform in magnitude? Answer these questions (a) assuming the volume is filled with an insulating material carrying charge described by a volume charge density and (b) assuming the volume is empty space. State reasoning to prove your answers.
Positive charge Q is located at the center of a hollow, conducting spherical shell. (a) Is the induced charge Qinner on the inner surface of the shell positive or negative? Answer P for positive, or N for negative. (b) Is the induced charge Qouter on the outer surface of the shell positive or negative? Answer P, or N. (c) Determine the ratio Qinner/Q and (d) the ratio Qouter/Q.
A charged rod is placed in the center along the axis of a neutral metal cylinder (Fig. P25.57). The rod has positive charge uniformly distributed. (Ignore the ends.) a. Find expressions for the electric fields in all regions: r a, a r b, b r c, and r c. b. Plot your expressions on one graph. Is the electric field continuous or discontinuous? Explain.
Example 23.3 derives the exact expression for the electric field at a point on the axis of a uniformly charged disk. Consider a disk of radius R = 3.00 cm having a uniformly distributed charge of +5.20 C. (a) Using the result of Example 23.3, compute the electric field at a point on the axis and 3.00 mm from the center. (b) What If? Explain how the answer to part (a) compares with the field computed from the near-field approximation E = /20. (We derived this expression in Example 23.3.) (c) Using the result of Example 23.3, compute the electric field at a point on the axis and 30.0 cm from the center of the disk. (d) What If? Explain how the answer to part (c) compares with the electric field obtained by treating the disk as a +5.20-C charged particle at a distance of 30.0 cm.
Three charged particles are arranged on corners of a square as shown in Figure OQ23.11, with charge Q on both the particle at the upper left corner and the particle at the lower right corner and with charge +2Q on the particle at the lower left corner. (i) What is the direction of the electric field at the upper right corner, which is a point in empty space? (a) It is upward and to the right. (b) It is straight to the right. (c) It is straight downward. (d) It is downward and to the left. (e) It is perpendicular to the plane of the picture and outward. (ii) Suppose the +2Q charge at the lower left corner is removed. Then does the magnitude of the field at the upper right corner (a) become larger, (b) become smaller, (c) stay the same, or (d) change unpredictably?
Three charged particles are at the corners of an equilateral triangle as shown in Figure P23.15. (a) Calculate the electric field at the position of the 2.00-C charge due to the 7.00-C and 4.00-C charges. (b) Use your answer to part (a) to determine the force on the 2.00-C charge.