Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
expand_more
expand_more
format_list_bulleted
Question
Chapter 5, Problem 5.9P
To determine
To Show:
The total energy of the system having two charges with opposite signsis equivalent to half of the potential energy.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider an infinitely long wire of charge carrying a positive charge density of A. The electric field due to
λ
this line of charge is given by E= 2kef= -, where is a unit vector directed radially outward
Σπερμ
from the infinitely long wire of charge.
Hint
#3
a. Letting the voltage be zero at some reference distance (V(ro) = 0), calculate the voltage due to
this infinite line of charge at some distance r from the line of charge. Give your answer in terms of
given quantities (A,ro,r) and physical constants (ke or Eo). Use underscore ("_") for subscripts and
spell out Greek letters.
Hint for V(r) calculation
3
V(r)
=
b. There is a reason we are not setting V(r → ∞o) = 0 as we normally do (in fact, in general,
whenever you have an infinite charge distribution, this "universal reference" does not work; you need
a localized charge distribution for this reference to work).
Which of the following best describes what happens to potential as roo? (That is, what is
V(ro), with our current…
Solve the following problems completely and neatly. Write your solution in a clean sheet of paper.
Two parallel plates, connected to a 50V power supply, are separated by an air gap. How small can the gap be if it is not become conducting by exceeding its breakdown value of E= 3x106 V/m?
A charge q = 54 C is located at (9, 8) and we want to find the electric field at pint p (3, 5). Find the source to point vector.
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C² . Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnetic
Permeability of vacuum, µo = 12.566370614356 ×x 10-7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one
9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb
electron, me
x component of the vector
Give your answer up to at least three significance digits.
y component of the vector
Give your answer up to at least three significance digits.
Chapter 5 Solutions
Modern Physics For Scientists And Engineers
Ch. 5 - Prob. 5.1PCh. 5 - Prob. 5.2PCh. 5 - Prob. 5.3PCh. 5 - Prob. 5.4PCh. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - Prob. 5.10P
Ch. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Prob. 5.17PCh. 5 - Prob. 5.18PCh. 5 - Prob. 5.19PCh. 5 - Prob. 5.20PCh. 5 - Prob. 5.21PCh. 5 - Prob. 5.22PCh. 5 - Prob. 5.23PCh. 5 - Prob. 5.24PCh. 5 - Prob. 5.25PCh. 5 - Prob. 5.26PCh. 5 - Prob. 5.27P
Knowledge Booster
Similar questions
- Subject: Ideal Conductors and Capacitors A ring of mass m and radius r has charge -Q uniformly distributed around it. The ring is located a distance h from an infinite grounded conducting plane. Let z be the vertical coordinate with z = 0 taken to be the center of the infinite conducting plane. Find the electric field above the conducting plane at points on the axis of the ring. Your answershould be a function of Q, r, and h.arrow_forwardWrite continuity equation for charge in its differential form. What’s the underlying physical law? Integrate the continuity equation for a pile of 10^23 electrons, from which, on average, 10^5 fly away from the pile with velocity 100m/s. Calculate I in SI.arrow_forwardA particle of charge −q and mass m is placed at the center of a uniformly charged ring of total charge Q and radius R. The particle is displaced a small distance along the axis perpendicular to the plane of the ring and released. Assuming that the particle is constrained to move along the axis, show that the particle oscillates in simple harmonic motion with a frequency (in picture attached).arrow_forward
- Consider 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_forwardProblem 8.4 (a) Consider two equal point charges q, separated by a distance 2a. Construct the plane equidistant from the two charges. By integrating Maxwell's stress tensor over this plane, determine the force of one charge on the other. (b) Do the same for charges that are opposite in sign.arrow_forwardConsider an electric field in the rectangular coordinates system Ē = Yi – 3y 1) Find the equation of the streamlines corresponding to this field. 2) Deduce the streamline that passes through the point M(2, 8).arrow_forward
- Considering the figure shown, suppose that qa = qd and qb = qc . First show that q is in static equilibrium. (You may neglect the gravitational force.) Then discuss whether the equilibrium is stable or unstable, noting that this may depend on the signs of the charges and the direction of displacement of q from the center of the square.arrow_forwardConsider a rod of length L carrying a charge of q distributed uniformly over its length. Where applicable, let V(r → ∞) = 0. Hint q a. What is the voltage V at point P (at distance a away from the near end of the rod) due to the charge over the length of the rod? Express your answer in terms of given parameters (L,q,a) and physical constants (ke, Eo). Use underscore ("_") for subscripts and spell out Greek letters. Hint for (a) E = Vp = b. Calculate the electric field at point P by differentiating V with respect to a. Let positive sign of E indicate direction of electric field pointing away from the rod. Hint for (b) a Question Help: Message instructor Submit Question с MacBook Pro G Search or type URL ☆ +arrow_forwardExplain with the help of a diagram (if needed) the relationship between the electronic polarizability of molecules and the ability of a high value dielectric material (εr = 10) to either increase or decrease the charge storing capacity of a parallel-plate capacitor if such a material is inserted within the gap between the two plates. For your answer assume that the typically used dielectric material between the two plates of a capacitor is air (εr = 1).arrow_forward
- Electric force and coulomb balance1. By considering this assembly as being infinite plane plates uniformly loaded with the same load in absolute values, but of opposite signs; obtain a relation giving the electric field (Etot) between the plates as a function of the potential difference (delta V) between them and the distance (d) which separates the plates.2. Write the (simple) expression of the electric force on the movable plate having a charge Qmobile immersed in the electric field generated by the fixed plate (Efixe), see image on the left.3. From the notions of uniformly charged infinite flat plates, determine a relation giving the value of the charge of the movable plate (Qmobile) from the electric field (Emobile) that it generates.4. Substitute the relation obtained in #3 into the electric force relation from #2 and use the electric field relation from #1 to obtain an equation of electric force as a function of potential difference (delta V), knowing that Emovable = EFixed.5.…arrow_forwarda) i. A field occupies space, contains energy, and its presence precludes a classical "true vacuum". Is the above statement true or false? Justify your inclusion with not more than ten examples. ii. Explain the significant of the Curl of a vector and discuss what exactly is the essence of the del symbol with an x next to it, iii. Discuss the divergence and slope of the curl. Support your response with not more than five mathematical proofs.arrow_forwardElectric force and coulomb balance1. By considering this assembly as being infinite plane plates uniformly loaded with the same load in absolute values, but of opposite signs; obtain a relation giving the electric field (Etot) between the plates as a function of the potential difference (delta V) between them and the distance (d) which separates the plates.2. Write the (simple) expression of the electric force on the movable plate having a charge Qmobile immersed in the electric field generated by the fixed plate (Efixe), see image on the left.3. From the notions of uniformly charged infinite flat plates, determine a relation giving the value of the charge of the movable plate (Qmobile) from the electric field (Emobile) that it generates.4. Substitute the relation obtained in #3 into the electric force relation from #2 and use the electric field relation from #1 to obtain an equation of electric force as a function of potential difference (delta V), knowing that Emovable = EFixed.5.…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON