Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 19.2, Problem 2cTH
Consider the surface element A itself as composed of many even smaller pieces. Would the number of field lines through each of those new small surface elements vary much from one to another? Explain.
Describe how the field lines for the positive point charge appear to be distributed when the region over which you look becomes sufficiently small.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two equal disks of external radius R and internal radius R / 2 are loaded with positive and uniform charge distributions σ. The discs lie in parallel planes separated by a distance R, but with their centers located on the same axis, as shown in figure 2. Take this axis as Z, and as the origin of coordinates or the midpoint between the rings.
3. Determine the work that must be done to bring a point charge q from the infinity to point O.
A thin rod of length ℓ and uniform charge per unit length λ lies along the x axis as shown. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x component and is given by E = 2keλ sin θ0/d. (b) What If? Using your result to part (a), show that the field of a rod of infinite length is E = 2keλ/d.
A thick, conducting, spherical shell of inner radius a and outer radius b carries an excess charge of −2Q. At the center of the spherical shell, a point charge −Q is placed.
A. How is the charge −2Q distributed on the think spherical shell? (Just give an answer.)
i. How much charge is on the surface of radius a
ii. How much charge is on the surface of radius b
B. What is the direction of the electric field (radially inward, radially outward or zero) in each of the following regions. (Just give an answer in the table provided.)
r < a
a <r
r> b
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...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Your 200-g cup of tea is boiling-hot. About how much ice should you add to bring it down to a comfortable sippi...
An Introduction to Thermal Physics
The height of the Washington Monument is measured to be 170 m on a day when the temperature is 35.0C. What will...
College Physics
Choose the best answer to each of the following. Explain your reasoning. Which of the following three kinds of ...
The Cosmic Perspective Fundamentals (2nd Edition)
Suppose we found an organism on Earth with the characteristics described. In light of our current understanding...
Life in the Universe (4th Edition)
At the right is a sketch showing one of the atoms in the diffuse, cool cloud of gas described in the previous q...
Lecture- Tutorials for Introductory Astronomy
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Examine the summary on page 780. Why are conductors and charged sources with linear symmetry, spherical symmetry, and planar symmetry categorized as special cases rather than major concepts or underlying principles?arrow_forwardDetermine the total charge distribution on r = b, and on r = a., explain Check if the electrical field for this configuration match the findings that for all points r inside the circle r<a is E= q/4piΕor2 and for all points r outside the shell r>a is E=0arrow_forwardWhat is the electrostatic force on the particle at the lower-right-hand corner of the square shown here? Write the result in terms of the quantities given in the problem (q, a, and k (Coulomb’s constant). Don’t forget to include both the magnitude and the direction of the net force on that charge.arrow_forward
- In Figure 2, there is a positive charge, +q, at point P(d,0,0).At x=0, there is an infinite conducting sheet which is grounded(V=0). At x=3d, there is a constant surface charge densityρs[C/m2] covering whole y-z plane. Dielectric constant isalso ?1 = ?0 for ? > 3?.Hint: Use image theorem.a) Determine the electric field vectors at point C(x,y,z) where ? ∈ (0,3?).Hint: Be careful of what happens at x=3d.b) Determine the electric field vectors at points A(2d,0,0), B(3d-,0,0), B(3d+,0,0).arrow_forwardFor the diagram shown below, find the magnitude and direction of the net force on the charge on the lower right corner of the square (q = 6 µC, a=1 cm) Free-body diagram with vectors force to scale Magnitude and directionarrow_forwardA thin rod of length ℓ and uniform charge per unit length λ lies along the x axis as shown in the figure below. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x component and is given by E = 2keλsinθ0/d. (b) Using your result to part (a), show that the field of a rod of infinite length is E = 2keλ/d.arrow_forward
- The conductor in the preceding figure has an excess charge of – 5.0 μC . If a 2.0-μC point charge is placed in the cavity, what is the net charge on the surface of the cavity and on the outer surface of the conductor?arrow_forwardConsider a uniformly charged, thin-walled, right circular cylindrical shell having total charge Q, radius R, and length l. Consider now a solid cylinder with the same dimensions and carrying the same charge, uniformly distributed through its volume. Find the field it creates at the same point.arrow_forwardConsider an infinitesimal segment located at an angular position θ on the semicircle, measured from the lower right corner of the semicircle at x=a, y=0. (Thus θ=π2 at x=0, y=a and θ=π at x=−a, y=0.) What are the x- and y- components of the electric field at point P (dEx and dEy) produced by just this segment? Express your answers separated by a comma in terms of some, all, or none of the variables Q, a, θ, dθ, and the constants k and π.arrow_forward
- Consider a uniform electric field of E = (a, b, 0) and a disk of radius R What is the flux through the disk if it sits in the yz-plane? What is the flux through the disk if it sits in the xy-plane? What is the maximum flux through the disk as it rotated through all possible orientations?arrow_forwardConsider a solid spherical conductor of radius R and charge Q at electrostatic equilibrium shown below. C is located at a distance 2R and D at a distance 3R. Find the electric field at each point. What is the correct ranking of Points A, B, C, and D according to the value of electric field at their locations? Explain why. A. A > B > D = C B. D > A > B = C C. B > C > D = A D. C > D > B = Aarrow_forwardConsider eight charges at the corners of a cube with side length a, and its axes parallel to the Cartesian coordinate axes, and its center at the origin, (0,0,0). a. If all eight charges have a value of q, evaluate the electric field along the x-axis, and explain its behavior as x goes to infinity. b. If the four charges where z= a/2 are +q and the other four are -q , evaluate the electric field along the x axis, and explain its behavior as x goes to infinity. c. Now consider having four +q and four -q charges, with each charge having its nearest neighbor have the opposite sign. Sketch this, evaluate the electric field along the x axis, and explain its behavior as x goes to inifinity.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY