3)A hollow copper spherical shell of inner radius a = 2 cmand outer radius b = 3 cm carries a charge of - 16 micro C.At the center of the sphere there is a positive pointcharge. Find an expression for the electric field E(r) in thethree regions I, II, and III, where r is the distancefrom the center. Include the direction in your answers.+ 10u CCOpperau4)The point charge is at the centerof the cube on the left. Find first2cm the electric flux through the sidethat is facing the cone and thenthe total flux through the cone.+ 10pc •O. 8cm1. Scm1cmb)Remove the cube and the point charge andassume now there is a uniform vertical electricfield. Calculate the flux through the lateralsurface of the cone. (The lateral surface of anobject is all of +he sides of the object, excludingits base and top (when they exist))2cmO. tmE= 10 N

Answered: Image /qna-images/answer/63d1a4f2-3c7b-44fd-af72-f931b5b66e1b.jpg

3) A hollow copper spherical shell of inner radius a = 2 cm and outer radius b = 3 cm carries a charge of - 16 micro C. At the center of the sphere there is a positive point charge. Find an expression for the electric field E(r) in the three regions I, II, and III, where r is the distance from the center. Include the direction in your answers. + 10 u C ain copper ain

3) A hollow copper spherical shell of inner radius a = 2 cm and outer radius b = 3 cm carries a charge of - 16 micro C. At the center of the sphere there is a positive point charge. Find an expression for the electric field E(r) in the three regions I, II, and III, where r is the distance from the center. Include the direction in your answers. + 10 u C ain copper ain

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 64P: An aluminum spherical ball of radius 4 cm is charged with 5C of charge. A copper spherical shell of...

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Two large rectangular aluminum plates of area 150 cm2 face each other with a separation of 3 mm between them. The plates are charged with equal amount of opposite charges, 20C . The charges on the plates face each other. Find the flux through a circle of radius 3 cm between the plates when the normal to the circle makes an angle of 5o with a line perpendicular to the plates. Note that this angle can also be given as 180o + 5o.
Suppose the conducting spherical shell of Figure 15.29 carries a charge of 3.00 nC and that a charge of -2.00 nC is at the center of the sphere. If a = 2.00 m and b = 2.40 m. find the electric field at (a) r = 1.50 m, (b) r = 2.20 m, and (c) r = 2.50 m. (d) What is the charge distribution on the sphere?
A uniformly charged spherical shell with positive surface charge density contains a circular hole in its surface. The radius r of the hole is small compared with the radius R of the sphere. What is the electric field at the center of the hole? Suggestion: This problem can be solved by using the principle of superposition.
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.)
The charge unit length on the thin shown below is .What is the force on the point charge q? Solve this problem by first considering the electric force dF on q due to a small segment dx of the rod, which contains charge dx . Then, find the net force by integrating dF over the length of the rod.
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Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300 cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.
An uncharged, nonconducting, hollow sphere of radius 10.0 cm surrounds a 10.0-C charge located at the origin of a Cartesian coordinate system. A drill with a radius of 1.00 mm is aligned along the z axis, and a hole is drilled in the sphere. Calculate the electric flux through the hole.
A nonconducting, thin plane sheet of charge carries a uniform charge per unit area of 5.20 C/m2 as in Figure 15.30. (a) Find the electric field at a distance of 8.70 cm from the plate. (b) Explain whether your result changes as the distance from the sheet is varied.
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?
ne electric field at 2 cm from the center of long copper rod of radius 1 cm has a magnitude 3 N/C and directed outward from the axis of the rod. (a) How much charge per unit length exists on the rod? (b) What would be the electric flux through a cube of side 5 cm situated such that the rod passes through opposite sides of the cube perpendicularly?
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