Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Question
Chapter 19.3, Problem 1aTH
To determine
The relationship of the flux through the curved surface and flat surface due to apositive charge placed outside the given surface.
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ELECTRIC FLUX
Write the given and complete solution.
1. A uniform electric field E = 8000 N/C passing through a flat
square area A = 10 m?. Determine the electric flux.
2. A disk of radius 196 mm is oriented with its normal unit
vector fi at 60° to a uniform electric field E of magnitude
5.87 x 103 N/C.
(a) What is the electric flux through the disk?
(b) What is the flux through the disk if n is parallel to E.
60°
3. A hollow sphere has unknown charges distributed
uniformly over its surface. At a distance of 0.63 m from the
center of the sphere, the electric field points radially inward
and has a magnitude of 4.56 x103 N/C. How much charge
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4. A flat rectangle is placed in a uniform electric field with a
magnitude of 7.8 x 103 N/C. The electric flux through the
rectangle when its face is 45° to the field lines is 89.75
Nm2/C. Find the width of the flat rectangle with a length of
9.45cm.
A square surface of area 9 cm2 is in a space of uniform electric field of magnitude 104 N/C . The amount of flux through it depends on how the square is oriented relative to the direction of the electric field. Find the electric flux (in N · m2/C) through the square, when the normal to it makes the following angles with the electric field. Note that these angles can also be given as
180° + θ.
a. 36degrees
b. 90 degrees
c. 0 degrees
Study the three-dimensional conductor in the figure, which has a cavity in
the center. The conductor has an excess charge 1.4 uC on it.
S1
What is the electric flux (in N-m2/C) through the Gaussian surface S1 shown in the figure?
91 =0 v Correct!
Now put a point of charge 24.4 µC inside the cavity of the conductor. What is the flux (in N•m2/C) through the Gaussian surface S,?
1 =0 v Correct!
Now consider the Gaussian surface S. With the charge still inside the cavity, what is the flux (in Nm2/C) through this surface?
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Chapter 19 Solutions
Tutorials in Introductory Physics
Ch. 19.1 - Draw a separate free-body diagram for each ball....Ch. 19.1 - Suppose the charge on the second ball is reduced...Ch. 19.1 - Predict what will happen if the net charge on ball...Ch. 19.1 - How does Coulomb’s law apply to situations in...Ch. 19.1 - In cases A and B shown at right there are two...Ch. 19.1 - In case C, two positive point charges +2Q are each...Ch. 19.1 - In case E a positive point charge with +Q is a...Ch. 19.1 - Is the magnitude of FPgreater than, less than, or...Ch. 19.1 - Is the magnitude of the net force on +qgreater...Ch. 19.1 - A second negative point charge Q is placed as...
Ch. 19.1 - A thin semicircular rod like the one in problem 4...Ch. 19.1 - Sketch the charge distribution on the rod.Ch. 19.1 - Is there a non-zero net electric force on the rod?...Ch. 19.1 - Is there a non-zero net electric force on the...Ch. 19.1 - State whether the magnitude of the net electric...Ch. 19.2 - Prob. 1aTHCh. 19.2 - Consider an imaginary surface in a uniform...Ch. 19.2 - Write an expression for the net electric flux net...Ch. 19.2 - Prob. 2aTHCh. 19.2 - Prob. 2bTHCh. 19.2 - Consider the surface element A itself as composed...Ch. 19.2 - Consider the left side of the box as Consisting of...Ch. 19.2 - The loop is held to the right of a positive point...Ch. 19.2 - Prob. 3bTHCh. 19.2 - Suppose that the new charge located to the right...Ch. 19.3 - Prob. 1aTHCh. 19.3 - Prob. 1bTHCh. 19.3 - Suppose that the curved portion of the Gaussian...Ch. 19.3 - A Second point charge +q is placed to the right of...Ch. 19.3 - Sketch a vector at each of points AD to represent...Ch. 19.3 - Sketch a vector at each of points AD to represent...Ch. 19.3 - Sketch a vector at each of points AD to represent...Ch. 19.3 - Sketch the net electric field at each of points...Ch. 19.3 - Calculate the magnitude of the electric field at...Ch. 19.4 - A small test charge qo travels from point X to...Ch. 19.4 - Prob. 1bTHCh. 19.4 - Points B and C are a distance ro away from the...Ch. 19.4 - A large metal sphere with zero net charge is now...Ch. 19.4 - Draw arrows on the diagram to indicate the...Ch. 19.4 - A positively charged test particle moves from...Ch. 19.4 - A positively charged test particle moves from A to...Ch. 19.4 - Find the magnitude and direction of the electric...Ch. 19.4 - A particle of mass mo and charge qo is released...Ch. 19.5 - The Surface area of the face of each plate is AI ....Ch. 19.5 - A new capacitor is formed by attaching two...Ch. 19.5 - Find the charge density on the plates. Explain.Ch. 19.5 - Find the electric potential difference between the...Ch. 19.5 - Show that the capacitance of the enlarged plates...
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Similar questions
- Consider a hollow spherical conductive shell of radius (R) 0.2 m with a fixed charge of +2.0 x 10-6 C uniformly distributed on its surface. (figure on the picture) a. What is the electric field at all points inside the sphere? Express your answer as a function of the distance r from the center of the sphere. b. What is the electric field outside the sphere? Express your answer as a function of the distance r from the center of the sphere. What if the sphere is a solid conductive sphere? What is the electric field at all points inside the sphere? Express your answer as function of the distance r from the center of the sphere.arrow_forwardConst A charge of 87.6 pC is uniformly distributed on the surface of a thin sheet of insulating material that 2 has a total area of 95.2 cm. A Gaussian surface encloses a portion of the sheet of charge. Part A If the flux through the Gaussian surface is 7.80 N. m? /C, what area of the sheet is enclosed by the Gaussian surface? Express your answer with the appropriate units. Value Units A =arrow_forwardWhat is the net electric flux through the cylinder (a) shown in (Figure 1)? What is the net electric flux through the cylinder (b) shown in (Figure 2)? Express your answer in terms of the variables E, R, and the constant π.arrow_forward
- Compute the flux of F through the cylindrical surface S centered on the z-axis, oriented away from the z-axis. F(x, y, z) = 3y7 + 2xzk S: radius 4. x ≥ 0, y ≥ 0,0 ≤ ≤ 2 Enter an exact answer. S . dA = i 640arrow_forwardA toblerone lies on a table when an electric field of 50N/C passes it through its triangular surface. A. Find the flux on each surface of the toblerone. B. Assuming the triangular surface is an equilatral triangle with one side equals 4cm, Find the total flux through the toblerone. Show your solution. Note: the toblerone is a triangular prism.arrow_forwardPart A Suppose a disk with area A is placed in a uniform electric field of magnitude E. The disk is oriented so that the vector normal to its surface, îñ, makes an angle 0 with the electric field, as shown in the figure. (Figure 1) What is the electric flux PE through the surface of the disk that is facing right (the normal vector to this surface is shown in the figure)? Assume that the presence of the disk does not interfere with the electric field. Express your answer in terms of E, A, and 0 • View Available Hint(s) Figure 1 of 1 ФЕarrow_forward
- Consider a hollow spherical conductive shell of radius (R) 0.2 m with a fixed charge of +2.0 x 10-6 C uniformly distributed on its surface. a. What if the sphere is a solid conductive sphere? What is the electric field at all points inside the sphere? Express your answer as function of the distance r from the center of the sphere. b. What is the electric field at all points outside the sphere? Express your answer as a function of the distance r from the center of the spherearrow_forwardYou would like to infer the electric field at a a point P that lies a distance r from a small spherical charge whose magnitude and sign you know. Draw the charge, the point P, and a Gaussian surface that will enable you to use Gauss' law in order to calculate the electric field E at point P. b. The charge has a value of 1 Coulomb, and the radius is 1 meter. What is the electric field at point P? a.arrow_forwardDraw the electric field lines of several simple charge configurations. Keep in mind that these problems are three dimensional. For each case: Draw the electric field lines. Draw the Gaussian surface for the flux calculation. State whether the flux is positive, negative, or zero. Case 1: A charge +q when the surface is a sphere centered on the charge. Case 2: A charge -q when the surface is a sphere centered on the charge. Case 3: A charge +2q when a surface is a sphere centered on the charge. How does this flux compare to the flux in Case #1? (Explain)arrow_forward
- In this section you will draw the electric field lines of several simple charge configurations. While you will be able to draw only a 2 - dimensional picture, keep in mind that these problems are inherently three dimensional. For each case: 1. Draw the electric field lines. 2. Draw the Gaussian surface for the flux calculation. 3. State whether the flux is positive, negative, or zero.arrow_forwardDetermine the electric flux through each closed surface whose cross-section is shown below. (For each loop shown, imagine extending the loop perpendicular to the page, providing the side surface, and closing the top and bottom with a flat surface in the shape of the loop, to provide a closed cylindrical surface in three dimensions.) Hint S₁ S3 q S2 c. Flux through S3 is d. Flux through S4 is -29 e. Flux through S5, is น f. Flux through So is 3q S5 Figure Description Figure shows an irregular shape S1. Within it are four irregular shapes labeled S2, S3, S4 and 56 and a quadrilateral labeled S5. All these overlap with one or more of each other. A charge minus 2q is shown in the overlap region of S1, S2 and 54. A charge minus 2q is shown in the overlap region of S1, S4 and 55. A charge plus q is shown in the overlap region of S1 and 53. A charge plus 3q is shown in the overlap region of S1 and S6. -29 a. Flux through S₁ is (Give your answer in terms of q and physical constants ke or Ep.…arrow_forwardConsider a uniform line charge tha0t is bent into a half circle as shown to the right. The total charge is Q and the radius is R0. a.Set up the integral for electric field at the center of the circle. Clearly show your steps. b.Perform the integration to find the electric field at the center of the circlearrow_forward
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