COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 16, Problem 18QAP
To determine
Whether the charge density is zero everywhere inside the surface if a net electric flux out of a closed surface is zero or not.
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Students have asked these similar questions
Question 5
a) A student measures the electric flux through a closed spherical surface of
volume V to be X. She then removes the charge from inside the spherical
surface and places it in a closed cylindrical surface of volume V/2. She then
claims that the flux through the cylindrical surface is 2X. Is the student right or
wrong ? Give reasons to your answers
EV (8)
b) You have four point charges, 2q, q, -q and -2q. If possible, describe how you would
place a closed surface that encloses at least 2q and through which the net flux is
+ 3q
ii.
i. O
-2ą
iii.
CR(7)
03
03
c) How does the electric field enclosing a given charge vary when the area
enclosed by the charged is doubled. Assuming the electric flux is constant.
EV (5)
4
Question 17
In fair weather, the electric field in the air at a
particular location immediately above the
Earth's surface is 117 N/C directed downward.
Imagine the surface charge density is uniform
over the entire surface of the planet. What
then is the magnitude of the net charge, in KC,
of the whole surface of the Earth?
A non-conducting plane acquires a surface charge density of -125 uC/m^2.
a) Determine the magnitude of the electric field generated by this charge distribution.
b) Draw in Figure the direction of the field
Chapter 16 Solutions
COLLEGE PHYSICS
Ch. 16 - Prob. 1QAPCh. 16 - Prob. 2QAPCh. 16 - Prob. 3QAPCh. 16 - Prob. 4QAPCh. 16 - Prob. 5QAPCh. 16 - Prob. 6QAPCh. 16 - Prob. 7QAPCh. 16 - Prob. 8QAPCh. 16 - Prob. 9QAPCh. 16 - Prob. 10QAP
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- (a) Consider a uniformly charged, thin-walled, right circular cylindrical shell having total charge Q, radius R, and length . Determine the electric field at a point a distance d from the right side of the cylinder as shown in Figure P23.9. Suggestion: Use the result of Example 23.2 and treat the cylinder as a collection of ring charges. (b) What If? Consider now a solid cylinder with the same dimensions and carrying the same charge, uniformly distributed through its volume. Use the result of Example 23.3 to find the field it creates at the same point. Figure P23.9arrow_forwardA solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and c as shown in Figure P19.75. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density?arrow_forwardA charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.arrow_forward
- Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).arrow_forwardThe electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the ball's center and has magnitude 4.0102 N/C. How much charge is on the surface of the ball?arrow_forwardFIGURE P25.41 Problems 51 and 52. Find the surface charge density of a sheet of charge that would produce the same electric field as that of a very large flat slab of uniform charge density = 2.00 C/m3 and thickness 2t = 5.00 cm (Fig. P25.51).arrow_forward
- A particle with charge q is located inside a cubical gaussian surface. No other charges are nearby. (i) If the particle is at the center of the cube, what is the flux through each one of the faces of the cube? (a) 0 (b) q/20 (c) q/60 (d) q/80 (e) depends on the size of the cube (ii) If the particle can be moved to any point within the cube, what maximum value can the flux through one face approach? Choose from the same possibilities as in part (i).arrow_forwardA uniform spherical charge distribution has a total charge of 45.3 mC and a radius of 15.2 cm. It is surrounded by a thin spherical shell with a uniform charge distribution. The uniform shells net charge is 35.5 mC. The shells radius is 20.2 cm, and it is concentric with the solid sphere. Find the electric field at points A and B located as shown on Figure P25.64. FIGURE P25.64arrow_forwardA thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.arrow_forward
- The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.arrow_forwardIf the net flux through a gaussian surface is zero, the following four statements could be true. Which of the statements must be true? (a) There are no charges inside the surface. (b) The net charge inside the surface is zero. (c) The electric field is zero everywhere on the surface. (d) The number of electric field lines entering the surface equals the number leaving the surface.arrow_forwardA solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.arrow_forward
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