Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
4th Edition
ISBN: 9780134564234
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 23, Problem 9CQ
A sphere of radius
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of
radius rh has charge -Q. The electric field E at a radial distancer from the central axis is given by the function:
E = ae-r/ao + B/r + bo
where alpha (a), beta (B), ao and bo are constants. Find an expression for its capacitance.
First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by:
Vab =
Edr = -
Edr
Calculating the antiderivative or indefinite integral,
Vab = (-aaoe-r/ao + B
+ bo
By definition, the capacitance C is related to the charge and potential difference by:
C= Q
I Vab
Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rh has charge -Q. The electric field E at a radial distance r from the central
axis is given by the function:
E = ae-r/ao + B/r + bo
where alpha (a), beta (B), ao and bo are constants. Find an expression for its capacitance.
First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by:
Vab =
Edr = -
Edr
Calculating the antiderivative or indefinite integral,
Vab = (-aager/ao + B
+ bo
By definition, the capacitance Cis related to the charge and potential difference by:
C =
Evaluating with the upper and lower limits of integration for Vab, then simplifying:
C = Q/(
(e rb/ao - eTalao) + B In(
) + bo (
))
Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rp has charge -Q. The
electric field E at a radial distance r from the central axis is given by the function:
E = ae-r/ao + B/r + bo
where alpha (a), beta (B), ao and bo are constants. Find an expression for its capacitance.
First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by:
['´e
Vob =
Edr= -
Edr
Calculating the antiderivative or indefinite integral,
Vab = (-aaoe¯r7ao + B
+ bo
By definition, the capacitance C is related to the charge and potential difference by:
C =
Evaluating with the upper and lower limits of integration for Vab, then simplifying:
C = Q / (
(erb/ao - eralao) + B In(
) + bo (
))
Chapter 23 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
Ch. 23 - l. You've been assigned the task of determining...Ch. 23 - Reproduce FIGURE Q23.2 on your paper. For each...Ch. 23 - Rank in order, from largest to smallest, the...Ch. 23 - A small segment of wire in FIGURE Q23.4 contains...Ch. 23 - An electron experiences a force of magnitude F...Ch. 23 - FIGURE Q23.6 shows a hollow soda straw that has...Ch. 23 - The irregularly shaped area of charge in FIGURE...Ch. 23 - A circular disk has surface charge density 8...Ch. 23 - A sphere of radius R has charge Q . The electric...Ch. 23 - The ball in FIGURE Q23.10 is suspended from a...
Ch. 23 - Rank in order, from largest to smallest, the...Ch. 23 - A parallel-plate capacitor consists of two square...Ch. 23 - A small object is released at point 3 in the...Ch. 23 - A proton and an electron are released from rest in...Ch. 23 - Three charges are placed at the comers of the...Ch. 23 - l. What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - An electric dipole is formed from two charges, q ,...Ch. 23 - An electric dipole is formed from ± 1.0 nC charges...Ch. 23 - An electret is similar to a magnet, but rather...Ch. 23 - The electric field strength 10.0 cm from a very...Ch. 23 - A 10-cm-long thin glass rod uniformly charged to...Ch. 23 - Two 10-cm-long thin glass rods uniformly charged...Ch. 23 - A small glass bead charged to + 6.0 nC is in the...Ch. 23 - The electric field 5.0 cm from a very long charged...Ch. 23 - A 12-cm-long thin rod has the nonuniform charge...Ch. 23 - Two charged rings face each other, 20 cm apart....Ch. 23 - Two 10-cm-diameter charged rings face each other,...Ch. 23 - Two charged disks face each other, 20 cm apart....Ch. 23 - The electric field strength 2.0 cm from the...Ch. 23 - A 20cm20cm cm horizontal metal electrode is...Ch. 23 - Two 2.0-cm-diameter insulating spheres have a 6.0...Ch. 23 - You've hung two very large sheets of plastic...Ch. 23 - A 2.0m X 4.0m flat carpet acquires a uniformly...Ch. 23 - Two circular disks spaced 0.50 mm apart form a...Ch. 23 - A parallel-plate capacitor is formed from two...Ch. 23 - Air "breaks down" when the electric field strength...Ch. 23 - Two parallel plates 1.0 cm apart are equally and...Ch. 23 - a. What is the electric field strength between the...Ch. 23 - Honeybees acquire a charge while flying due to...Ch. 23 - An electron traveling parallel to a uniform...Ch. 23 - The surface charge density on an infinite charged...Ch. 23 - An electron in a vacuum chamber is fired with a...Ch. 23 - A 1.0m -diameter oil droplet (density 900 kg/m3)...Ch. 23 - The permanent electric dipole moment of the water...Ch. 23 - A point charge Q is distance r from a dipole...Ch. 23 - An ammonia molecule (NH3) has a permanent electric...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - Prob. 38EAPCh. 23 - Prob. 39EAPCh. 23 - Derive Equation 23.11 for the field Edipolein the...Ch. 23 - FIGURE P23.41 is a cross section of two infinite...Ch. 23 - FIGURE P23.42 is a cross section of two infinite...Ch. 23 - Prob. 43EAPCh. 23 - Prob. 44EAPCh. 23 - Prob. 45EAPCh. 23 - Prob. 46EAPCh. 23 - Prob. 47EAPCh. 23 - A plastic rod with linear charge density ? is bent...Ch. 23 - An infinite plane of charge with surface charge...Ch. 23 - A sphere of radius R and surface charge density ?...Ch. 23 - Prob. 51EAPCh. 23 - An electron is launched at a 45 angle and a speed...Ch. 23 - The two parallel plates in FIGURE P23.53 are 2.0...Ch. 23 - Prob. 54EAPCh. 23 - Prob. 55EAPCh. 23 - 56. Your physics assignment is to figure out a way...Ch. 23 - Prob. 57EAPCh. 23 - Prob. 58EAPCh. 23 - Prob. 59EAPCh. 23 - Prob. 60EAPCh. 23 - Prob. 61EAPCh. 23 - Prob. 62EAPCh. 23 - In Problems 63 through 66 you are given the...Ch. 23 - Prob. 64EAPCh. 23 - Prob. 65EAPCh. 23 - Prob. 66EAPCh. 23 - A rod of length L lies along the y-axis with its...Ch. 23 - a. An infinitely long sheet of charge of width L...Ch. 23 - a. An infinitely long sheet of charge of width L...Ch. 23 - Prob. 70EAPCh. 23 - Prob. 71EAPCh. 23 - 72. A proton orbits a long charged wire, making ...Ch. 23 - Prob. 73EAP
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
- Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = αe-r/a0 + β/r + b0 where alpha (α), beta (β), a0 and b0 are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by: Calculating the antiderivative or indefinite integral , Vab = (-αa0e-r/a0 + β + b0 ) By definition, the capacitance C is related to the charge and potential difference by: C = / Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q / ( (e-rb/a0 - e-ra/a0) + β ln() + b0 () )arrow_forwardSuppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = αe-r/a0 + β/r + b0 where alpha (α), beta (β), a0 and b0 are constants. Find an expression for its capacitance.arrow_forwardSuppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = αe-r/a0 + β/r + b0 where alpha (α), beta (β), a0 and b0 are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by:arrow_forward
- Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = αe-r/a0 + β/r + b0 where alpha (α), beta (β), a0 and b0 are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by: First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by: Calculating the antiderivative or indefinite integral , Vab = (-αa0e-r/a0 + β + b0 ) By definition, the capacitance C is related to the charge and potential difference by: C = / Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q / ( (e-rb/a0 - e-ra/a0) + β ln() + b0 () )arrow_forwardSuppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = αe-r/a0 + β/r + b0 where alpha (α), beta (β), a0 and b0 are constants. Find an expression for its capacitance.arrow_forwardA circular ring of radius 23.0 cm has a continuous charge distribution of -1.4 C/m. How many excess electrons are on the ring? Write your result as multiplicative of 1018. Your result must contain one figure after the decimal point. Maximum of 3% of error is accepted in your answer. One electron charge is -1.6x10 19 C.arrow_forward
- Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = αe-r/a0 + β/r + b0 where alpha (α), beta (β), a0 and b0 are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by:arrow_forwardA line of charge of length L = 42 cm with charge Q = 430.0 nAies along the positive Y axis whose one end is at the origin O. A point charge q = 310.0 µClies on point P = (41, 21.0)Here the coordinates are given in centi-meters. a) Find the Electric field at Pdue to the rod. x component of E Give your answer to at least three significance digits. N/C y component of E Give your answer to at least three significance digits. N/C b)Find the charge density of the rod? why is it in C/mbut not in C/m?? Charge density Give your answer to at least three significance digits. C/marrow_forwardE(r) = Bzi - ax'y'j+ (6@yxy + Bóz³) k %3D where a, B, y and & are constants and r = xi+yj+zk. Find the corresponding charge density p(r).arrow_forward
- Consider the electric field of a point charge.At point A the electric field strength is 9 V/m, at point B the electric field strength is 36 V/m. We measure the strength of the electric eld at the midpoint of the interval AB. What can be the measured value?arrow_forwardSuppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rp has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = aer/ao + B/r + bo %3D where alpha (a), beta (B), ao and bo are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by: Vab = | S"Edr= - [ *Edr Calculating the antiderivative or indefinite integral, Vab = (-aage-r/ao + B + bo By definition, the capacitance C is related to the charge and potential difference by: C = Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q/( (e-rb/ao - eralao) + B In( ) + bo ( ))arrow_forwardA point charge q = 2C is situated at a long distance r = 15 m on axis from one end of a thin no conducting rod of length L = 2m (r > L) having a charge Q = 7C (Uniformly distributed along its length). The magnitude of electric fied at the point charge q will feel is: Magnitude of the Electric field q will feel Give your answer up to at least three significance digits. V/marrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
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