Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2.1, Problem 2.6P
Find the electric field a distance z above the center of a flat circulardisk of radius R (Fig. 2.10) that carries a uniform surface charge
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule03:39
Students have asked these similar questions
A point charge + Q is placed at the centre
of an uncharged spherical conducting shell of inner radius
a and outer radius b as shown in Fig. 2.51.
Fig.
b
WODY
1. Find the electric field for r
Problem 2.20 One of these is an impossible electrostatic field. Which one?
(a) E =k[xyÂ+2yzý+3xz2];
(b) E = k[y² + (2xy + z²)ý + 2yz 2).
Here k is a constant with the appropriate units. For the possible one, find the potential, using
the origin as your reference point. Check your answer by computing VV. [Hint: You must
select a specific path to integrate along. It doesn't matter what path you choose, since the
answer is path-independent, but you simply cannot integrate unless you have a particular path
in mind.]
A point charge +Q is placed at the centre
of an uncharged spherical conducting shell of inner radius
a and outer radius b as shown in Fig. 2.51.
Fig.
53
b.
~
1. Find the electric field for r
Chapter 2 Solutions
Introduction to Electrodynamics
Ch. 2.1 - (a) Twelve equal charges,q, arc situated at the...Ch. 2.1 - Find the electric field (magnitude and direction)...Ch. 2.1 - Find the electric field a distance z above one end...Ch. 2.1 - Prob. 2.4PCh. 2.1 - Prob. 2.5PCh. 2.1 - Find the electric field a distance z above the...Ch. 2.1 - Find the electric field a distance z from the...Ch. 2.2 - Use your result in Prob. 2.7 to find the field...Ch. 2.2 - Prob. 2.9PCh. 2.2 - Prob. 2.10P
Ch. 2.2 - Use Gauss’s law to find the electric field inside...Ch. 2.2 - Prob. 2.12PCh. 2.2 - Prob. 2.13PCh. 2.2 - Prob. 2.14PCh. 2.2 - A thick spherical shell carries charge density...Ch. 2.2 - A long coaxial cable (Fig. 2.26) carries a uniform...Ch. 2.2 - Prob. 2.17PCh. 2.2 - Prob. 2.18PCh. 2.2 - Prob. 2.19PCh. 2.3 - One of these is an impossible electrostatic field....Ch. 2.3 - Prob. 2.21PCh. 2.3 - Find the potential a distance s from an infinitely...Ch. 2.3 - Prob. 2.23PCh. 2.3 - Prob. 2.24PCh. 2.3 - Prob. 2.25PCh. 2.3 - Prob. 2.26PCh. 2.3 - Prob. 2.27PCh. 2.3 - Prob. 2.28PCh. 2.3 - Prob. 2.29PCh. 2.3 - Prob. 2.30PCh. 2.4 - Prob. 2.31PCh. 2.4 - Prob. 2.32PCh. 2.4 - Prob. 2.33PCh. 2.4 - Find the energy stored in a uniformly charged...Ch. 2.4 - Prob. 2.35PCh. 2.4 - Prob. 2.36PCh. 2.4 - Prob. 2.37PCh. 2.5 - A metal sphere of radius R, carrying charge q, is...Ch. 2.5 - Prob. 2.39PCh. 2.5 - Prob. 2.40PCh. 2.5 - Prob. 2.41PCh. 2.5 - Prob. 2.42PCh. 2.5 - Prob. 2.43PCh. 2.5 - Prob. 2.44PCh. 2.5 - Prob. 2.45PCh. 2.5 - If the electric field in some region is given (in...Ch. 2.5 - Prob. 2.47PCh. 2.5 - Prob. 2.48PCh. 2.5 - Prob. 2.49PCh. 2.5 - Prob. 2.50PCh. 2.5 - Prob. 2.51PCh. 2.5 - Prob. 2.52PCh. 2.5 - Prob. 2.53PCh. 2.5 - Prob. 2.54PCh. 2.5 - Prob. 2.55PCh. 2.5 - Prob. 2.56PCh. 2.5 - Prob. 2.57PCh. 2.5 - Prob. 2.58PCh. 2.5 - Prob. 2.59PCh. 2.5 - Prob. 2.60PCh. 2.5 - Prob. 2.61P
Additional Science Textbook Solutions
Find more solutions based on key concepts
Description of Motion:
Tutorials in Introductory Physics
2. If, because of a poor-quality objective, the light from the laser illuminating the sample in a scanning con...
College Physics: A Strategic Approach (4th Edition)
21.25 CP A proton is traveling horizontally to the right at 4.50 × 106 m/s. (a) Find the magnitude and directio...
University Physics with Modern Physics (14th Edition)
(1) If you're close to a finite line of charge (and not near its ends), does its field vary as (a) 1/r3, (b) 1/...
Essential University Physics: Volume 2 (3rd Edition)
61. For the electric dryer of the previous problem, show that the number of coulombs that flow through in 1 min...
Conceptual Physical Science (6th Edition)
How and when did life colonize land? Why did it take so long after the origin of life in the oceans?
Life in the Universe (4th Edition)
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
- Problem 3.35 A solid sphere, radius R, is centered at the origin. The "northern” hemisphere carries a uniform charge density po, and the "southern" hemisphere a uniform charge density -po. Find the approximate field E(r, 0) for points far from the sphere (r » R).arrow_forwardProblem 2.20 One of these is an impossible electrostatic field. Which one? (a) Ek[xy x + 2yzý + 3xz2]; (b) E= k[y² + (2xy + z²) ŷ + 2yz 2]. Here k is a constant with the appropriate units. For the possible one, find the potential, using the origin as your reference point. Check your answer by computing VV. [Hint: You must select a specific path to integrate along. It doesn't matter what path you choose, since the answer is path-independent, but you simply cannot integrate unless you have a particular path in mind.] Problem 2.11 Use Gauss's law to find the electric field inside and outside a spherical shell of radius R, which carries a uniform surface charge density o. Compare your answer to Prob. 2.7. Problem 2.21 Find the potential inside and outside a uniformly charged solid sphere whose radius is R and whose total charge is q. Use infinity as your reference point. Compute the gradient of V in each region, and check that it yields the correct field. Sketch V (r).arrow_forwardUsing the method of integration, what is the electric field of a uniformly charged thin circular plate (with radius R and total charge Q) at xo distance from its center? (Consider that the surface of the plate lies in the yz plane) Solution A perfect approach to this is to first obtain the E-field produced by an infinitesimal charge component of the charge Q. There will be several approaches to do this, but the most familiar to us is to obtain a very small shape that could easily represent our circular plane. That shape would be a ring. So for a ring whose charge is q, we recall that the electric field it produces at distance x0 is given by E = (1/ )(x0q)/( 242) Since, the actual ring (whose charge is dq) we will be dealing with is an infinitesimal part of the circular plane, then, its infinitesimal electric field contribution is expressed as = (1/ )(x0 2. ) We wish to obtain the complete electric field contribution from the above equation, so we integrate it from 0 to R to obtain E =…arrow_forward
- A cylindrically symmetric charge distribution has charge density p(r) given by P()= 2na erla where Op and a are constants. Calculate the total charge O contained within a cylinder of length I = 5a and radius 2a, centred on the z-axis, and grve your answer by entering numbers in both of the boxes in the equation below: [Note that you must enter a value in each of the boxes, including 1 or 0 if appropriate. Blank boxes will be marked as incorrect.]arrow_forwardProblem 2.20 One of these is an impossible electrostatic field. Which one? (a) E= k[xy x + 2yz y + 3xz 2]; (b) E= k[y² + (2xy + z²)ŷ + 2yz2]. Here k is a constant with the appropriate units. For the possible one, find the poten- tial, using the origin as your reference point. Check your answer by computing VV. [Hint: You must select a specific path to integrate along. It doesn't matter what path you choose, since the answer is path-independent, but you simply cannot integrate unless you have a definite path in mind.]arrow_forwardA solid sphere of radius a, centered at the origin, carries a volume charge density of p(r) = ar², where a is a constant (see Fig. 2 below). a. Calculate the electric field inside and outside of the sphere. (NOTE: For a spherically symmetric system, dV = r² sin(e) de dødr. Therefore, the volume integral of some function p(r) is given by fp(r)r² sin(e) dedodr = 4n fp(r)r²dr) b. Plot the resulting electric field as a function of distance from the origin. aarrow_forward
- A part of a Gaussian Surface is a square of side length s. A corner of the square is placed the distances from the origin on the y axis. A point charge Q is located at the origin. The edges of the square are either parallel to the x direction or z direction. The image above shows this information. If Q=25 microCoulomb and s= 15 cm, what is the electric field flux through the square? O none of these O 2.82 106 Nm²/C O 7.06 105 Nm²/C O 1.18 105 Nm²/C O 4.71 105 N*m²/Carrow_forwardI have parts A & B. I just need help with c. The figure is attached. For the cylinder of uniform charge density in Fig. 2.26: (a) show that the expression there given for the field inside the cylinder follows from Gauss’s law My Answer: p = rho r<a: E = (p*r)/ (2 * epsilon not) r>a: E = (p * a^2)/(2 * epsilon * r) (b) find the potential φ as a function of r, both inside and outside the cylinder, taking φ = 0 at r = 0. My Answer: r<a: φ(r) = (-p * r^2)/(4 * epsilon not) r>a: φ(r) = (-p * a^2)/(4 * epsilon not) - (p * a^2)/(2 * epsilon not)(In(r/a)) c) Take the Laplacian in cylindrical coordinates and show that Poisson’s equation holds in this example.arrow_forwardIf the surface charge density on the surface of a conductor, σ = (786 – X) mC/m2 , (where X is your Roll No.). Apply Gauss’ Law to find (with complete logical an mathematical justification): the normal (perpendicular) component of the Electric Field exactly above and below the boundary of the surface if the conductor is placed in free space.arrow_forward
- Find the electric field a distance z above the center of a flat circular disk of radius R (See attatched figure) that carries a uniform surface charge σ. What does your formula give in the limit R → ∞? Also check the case z >> R.arrow_forwardA circular ring of radius R is uniformly charged with a charge q for half of its length and -q for the other half. Imagine the ring on the xy plane. Calculate the electric field at some point, P, located on the axis, say z, going through the center of the ring, O, and at a distance d from O along this axis.arrow_forward2.6.1 Divergence Find hv.Edz, where E is the electric field due to a point charge q at x' and V is a sphere centered on the origin with radius b> |x'). please solve thisarrow_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
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY