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
Question
Chapter 2.5, Problem 2.57P
(a)
To determine
The netsurface charge density
(b)
To determine
The net surface charge density
(c)
To determine
The net charge per unit length on a conducting “needle” running from
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In deep space two spheres each of radius 5.00 m are connected by a 3.00 × 102 m nonconducting cord. If a uniformly distributed charge of 35.0 μC resides on the surface of each sphere, calculate the tension in the cord.
An infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.15 μC/m2. A thin wire, with linear charge density λ = 1.1 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them.
A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell?
B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell?
C) Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.
A solid insulating sphere has total charge Q and radius R.The sphere’s charge is distributed uniformly throughout its volume.Let r be the radial distance measured from the center of the sphere. IfE = 800 N/C at r = R/2, what is E at r = 2R?
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
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
- A long copper cylindrical shell of inner radius 2 cm and outer radius 3 cm surrounds concentrically a charged long aluminum rod of radius 1 cm with a charge density of 4 pC/m. All charges on the aluminum rod reside at its surface. The inner surface of the copper shell has exactly charge to that of the aluminum rod while the outer surface of the copper shell has the same charge as the aluminum rod. Find the magnitude and direction of the electric field at points that are at the following distances from the center of the aluminum rod: (a) 0.5 cm, (b) 1.5 cm, (c) 2.5 cm, (d) 3.5 cm, and (e) 7 cm.arrow_forwardA 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_forwardGiven that D = 10 x 3 3 a x(μC/m2), determine the total charge (in microcoulombs) enclosed in a cube of 2 m on an edge, centered at the origin and with edges parallel to the axes.arrow_forward
- neli m lar 6R²F The charge density of an insulating sphere of radius R is given as p(r) = The insulation sphere is placed at the center of a conducting spherical shell of inner Radius of 2R and outer radius 3R which has the total charge of +20. Which of the followings is the total charge on the outer surface (r= 3R) of the conducting sphere? (π = 3) a) +6Q b) +4Q c) + Q d) +3Q Seçtiğiniz cevabın işaretlendiğini görene kadar bekleyiniz. FOOD +20 3R R2R Conductorarrow_forwardThree charges are placed on three corners of a square, as shown. Each side of the square is 30 cm. Compute E at the fourth corner. What would be the force on a 6 µC charge placed at the vacant corner? 8 μC -5 µC AE. -4 µC E, E.arrow_forwardAn arc subtends an angle a at the center. If radius of circle is R and the arc has uniform charge then value ER of at the center is (where E = Electric field, V = Potential) V sin (b) sin 2 sin (d) sin a (a) a (c) 2aarrow_forward
- (a) Figure (a) shows a nonconducting rod of length L-5.20 cm and uniform linear charge density A= +5.99 pC/m. Take V = 0 at infinity. What is Vat point P at distance d = 8.20 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 5.99 pC/m. With V 0 at infinity, what is Vat P? L/2 L/2 –L/2 L/2- (a) (b) (a) Number Units V (b) Number Units Varrow_forwardA solid insulating sphere of radius 0.06 cm carries a total charge of 30 nC. Concentric with this sphere is a conducting spherical shell with an inner radius of 0.13 cm and an outer radius of 0.17 cm and carrying a total charge of -15 nC. Find the charge distribution for the outer surface of the conducting spherical shell. O 4.130 m2 4 C 4.130x10 m2 -5 C 4.130x10 m2 -8 C 4.130x10 m2arrow_forwardAn infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity o1 = 0.62 µC/m2. Another infinite sheet of charge with uniform charge density o7 = -0.29 µC/m? is located at x = c = 33 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 14.5 cm and x 3 18.5 сm). a/2 a/2| a/2 1) What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (7.25 cm, 0)? N/C Submit 2) What is oa, the charge density on the surface of the conducting slab at x = 14.5 cm? µC/m? Submit 3) What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (7.25 cm, -18.5 cm)? Submit 4) What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (25.75 cm, -18.5 cm)? Submit + 5) What is Ex(T), the x-component of the electric field at point T, located at (x,y) (40.25 сm, -18.5 ст)? N/C Submitarrow_forward
- A charged nonconducting rod has a length L of 2.0 m and a cross-sectional area A of 8.0 cm?; it is placed along the positive side of an x axis with one end at the origin. The volume charge density p is the charge per unit volume, with the units of coulomb per cubic meter. a) How many excess electrons are on the rod if the rod's volume charge density pu is uniform with a value of –10 µC/m³? How does that compare to the total number of electrons you would estimate would be in the rod? (By compare, just a ballpark estimate- to within several orders of magnitude, factors of ten). b) What is an expression for the number of excess electrons on the rod if the rod's volume charge is nonuniform and is given instead by pN=ax³ where a is a constant? c) What value of a is necessary for the rod in part b to have the same number of excess electrons as the rod in part a)?arrow_forward(a) Figure (a) shows a nonconducting rod of length L = 5.80 cm and uniform linear charge density λ = +4.87 pC/m. Take V = 0 at infinity. What is Vat point P at distance d= 7.50 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 4.87 pC/m. With V=0 at infinity, what is Vat P? L/2 (a) -L/2 L/21/2- (b)arrow_forwardConsider the charge configurations below. The angle alpha may be any arbitrary angle, not necessarily 45 degrees. In case B, a charge +Q/2 is uniformly distributed on the curved rod, which is a section of a circle. In case A, the charge Q/2 is also at a distance R from the -Q charge. smallest: next smallest: third smallest: A: largest: C: +Q/4 R 0 +Q/2 R → R +Q/4 α Rank in order of increasing magnitude of net force on the Q, from smallest force to largest force: B: D: +Q/2 R +Q/2 (on point) R +Q/2 (on rod) +Q/2 a αarrow_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
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY