PHYS 212 FOR SCI+ENG W/MAST PHYS >ICP<
1st Edition
ISBN: 9781323834831
Author: Knight
Publisher: PEARSON C
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 26, Problem 40EAP
An infinitely long cylinder of radius R has linear charge density
the electric field outside the cylinder is
potential relative to the surface at a point that is distance r from
the axis, assuming r >R.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An infinitely long cylinder of radius R has linear charge
density A. The potential on the surface of the cylinder is
Vo, and the electric field outside the cylinder is
Part A
Er
2TEor
Find the potential relative to the surface at a point that is distance r from the axis, assuming r > R.
Express your answer in terms of the variables A, r, R, Vo, and appropriate constants.
ΑΣφ
?
V, =
Submit
Request Answer
Eo k, the resulting electric potential is V (x,y,z) = Vo for the
When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field E
points inside the sphere and
Eoа3z
(x2y223/2
V (x,y,z) Vo - Eoz
for points outside the sphere, where Vo is the (constant) electric potential on the conductor.
Use this equation to determine the x, y, and z components of the resulting electric field in the following regions. (Use the following as necessary: x, y, z, a, and Eo.)
(a) inside the sphere
Ex =
Ey =
Ez
(b) outside the sphere
Ex
Ey
=
Ez =
dq
A thin uniformly charged arc with radius R = 2 cm is shown in the
figure below. The total charge of the arc is Q 81 µC. Point Ois the
origin at the center of the arc.
R
Calculate the linear charge density 2. Write down an
(a)
expression for the infinitesimal charge dq.
(b)
Write down the potential dV at point O due to the infinitesimal charge dq.
Chapter 26 Solutions
PHYS 212 FOR SCI+ENG W/MAST PHYS >ICP<
Ch. 26 - l. FIGURE Q26.1 shows the x-component of E as a...Ch. 26 - Prob. 2CQCh. 26 - a. Suppose that E =0 V/m throughout some region of...Ch. 26 - Estimate the electric fields and at points 1 and 2...Ch. 26 - Estimate the electric fields and E2 t points 1 and...Ch. 26 - Prob. 6CQCh. 26 - Prob. 7CQCh. 26 - FIGURE Q26.8 shows a negatively charged...Ch. 26 - Prob. 9CQCh. 26 - FIGURE Q26.10 shows a 3 V battery with metal wires...
Ch. 26 - The parallel-plate capacitor in FIGURE Q26.11 is...Ch. 26 - Rank in order, from largest to smallest, the...Ch. 26 - I. What is the potential difference between xi= 10...Ch. 26 - Il What is the potential difference between yi= —5...Ch. 26 - Il FIGURE EX26.3 is a graph of Ex. What is the...Ch. 26 - Il FIGURE EX26.4 is a graph of Ex The potential at...Ch. 26 - Prob. 5EAPCh. 26 - Prob. 6EAPCh. 26 - Prob. 7EAPCh. 26 - I What are the magnitude and direction of the...Ch. 26 - FIGURE EX26.9 shows a graph of V versus x in a...Ch. 26 - Prob. 10EAPCh. 26 - Prob. 11EAPCh. 26 - FIGURE EX26.12 is a graph of V versus x. Draw the...Ch. 26 - Prob. 13EAPCh. 26 - Prob. 14EAPCh. 26 - Prob. 15EAPCh. 26 - Prob. 16EAPCh. 26 - How much work does the charge escalator do to move...Ch. 26 - How much charge does a 9.0 V battery transfer from...Ch. 26 - How much work does the electric motor of a Van de...Ch. 26 - Prob. 20EAPCh. 26 - Two 3.0cm diameter aluminum electrodes are spaced...Ch. 26 - What is the capacitance of the two metal spheres...Ch. 26 - Prob. 23EAPCh. 26 - Prob. 24EAPCh. 26 - 25. A capacitor, a capacitor, and a capacitor
...Ch. 26 - Prob. 26EAPCh. 26 - What is the equivalent capacitance of the three...Ch. 26 - What is the equivalent capacitance of the three...Ch. 26 - You need a capacitance of 50F , but you don't...Ch. 26 - You need a capacitance of 50F , but you don't...Ch. 26 - To what potential should you charge a 1.0F...Ch. 26 - 50pJ of energy is stored in a 2.0cm2.0cm2.0cm...Ch. 26 - A 2.0-cm-diameter parallel-plate capacitor with a...Ch. 26 - The capacitor in a defibrillator unit supplies an...Ch. 26 - Prob. 35EAPCh. 26 - Prob. 36EAPCh. 26 - A typical cell has a layer of negative charge on...Ch. 26 - The electric field in a region of space is...Ch. 26 - Ill The electric field in a region of space is...Ch. 26 - An infinitely long cylinder of radius R has linear...Ch. 26 - Prob. 41EAPCh. 26 - Prob. 42EAPCh. 26 - a. Use the methods of Chapter 25 to find the...Ch. 26 - Prob. 44EAPCh. 26 - Engineers discover that the electric potential...Ch. 26 - The electric potential in a region of space is...Ch. 26 - Prob. 47EAPCh. 26 - Prob. 48EAPCh. 26 - Prob. 49EAPCh. 26 - Prob. 50EAPCh. 26 - Prob. 51EAPCh. 26 - Prob. 52EAPCh. 26 - Prob. 53EAPCh. 26 - Two 2.0 cm × 2.0 cm metal electrodes are spaced...Ch. 26 - Find expressions for the equivalent capacitance of...Ch. 26 - What are the charge on and the potential...Ch. 26 - What are the charge on and the potential...Ch. 26 - Prob. 58EAPCh. 26 - Prob. 59EAPCh. 26 - Six identical capacitors with capacitance C are...Ch. 26 - Prob. 61EAPCh. 26 - A battery with an emf of 60 V is connected to the...Ch. 26 - Prob. 63EAPCh. 26 - Prob. 64EAPCh. 26 - Prob. 65EAPCh. 26 - Prob. 66EAPCh. 26 - Prob. 67EAPCh. 26 - Prob. 68EAPCh. 26 - Prob. 69EAPCh. 26 - Prob. 70EAPCh. 26 - Prob. 71EAPCh. 26 - Prob. 72EAPCh. 26 - Prob. 73EAPCh. 26 - Prob. 74EAPCh. 26 - In Problems 75 through 77 you are given the...Ch. 26 - Prob. 76EAPCh. 26 - Prob. 77EAPCh. 26 -
78. Two 5.0-cm-diameter metal disks separated by...Ch. 26 - Prob. 79EAPCh. 26 - Charge is uniformly distributed with charge...Ch. 26 - Consider a uniformly charged sphere of radius R...Ch. 26 - Prob. 82EAPCh. 26 - Prob. 83EAP
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) What is the potential between two points situated 10 cm and 20 cm from a 3.0C point charge? (b) To what location should the point at 20 cm be moved to increase this potential difference by a factor of two?arrow_forwardThe surface charge density on a long straight metallic pipe is . What is the electric potential outside and inside the pipe? Assume the pipe has a diameter of 2a.arrow_forwardAt a certain distance from a charged particle, the magnitude of the electric field is 500 V/m and the electric potential is 3.00 kV. (a) What is the distance to the particle? (b) What is the magnitude of the charge?arrow_forward
- The charge density on a disk of radius R = 12.0 cm is given by = ar, with a = 1.40 C/m3 and r measured radially outward from the origin (Fig. P26.45). What is the electric potential at point A, a distance of 40.0 cm above the disk? Hint: You will need to integrate the nonuniform charge density to find the electric potential. You will find a table of integrals helpful for performing the integration.arrow_forwardA particle with charge +q is at the origin. A particle with charge 2q is at x = 2.00 m on the x axis. (a) For what finite value(s) of x is the electric field zero? (b) For what finite value(s) of x is the electric potential zero?arrow_forwardA long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit length on its surface of . (a) Find the electric field inside and outside the cylinder, (b) Find the electric potential inside and outside the cylinder, (c) Plot electric field and electric potential as a function of distance from the center of the rod.arrow_forward
- (a) Find x L limit of the potential of a finite uniformly charged rod and show that it coincides with that of a point charge formula, (b) Why would you expect this result?arrow_forwardL R Z σ = az The side surface of a thin cylindrical shell of length L and radius R is nonuniformly charged with the surface charge density given by o = az, where a is a positive constant. What is the potential at the origin (r = 0).arrow_forwardA total charge of 36 uC is distributed uniformly throughout the surface of a 20 mm radius conducting sphere. What is the electric potential at a point 9 mm from the center of the sphere? Express your answer in MV.arrow_forward
- Please Asaparrow_forwardA solid nonconducting cylinder of radius R = 5.00 cm and length L = 15.0 cm has a uniform positive charge distribution of volume charge density p= 20.0 pC/m3 . (a) What is the electric potential at pint P? (b) What are the magnitude and direction of the electric field at point P? (where a = 10 cm, and P is perpendicular to the center of the cylindearrow_forwardThe electric potential of some configuration is given by V (r) = AS, Xis a constant Find the electric field.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
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