Jackson: Electrodynamics
These are my solutions for problems from John David Jackson’s Classical Electrodynamics (3rd Edition). Brace yourself — I did not get full marks on many of these. Getting any single Jackson problem completely correct could be a life’s work! Hopefully you can still find use in them. Read the disclaimer before use .
Solution: Jackson 1.3
Solution: Jackson 1.6
Solution: Jackson 1.12
Solution: Jackson 1.21
Solution: Jackson 2.1
Solution: Jackson 2.2 (watch out — I didn’t understand part d)
Solution: Jackson 2.3
Solution: Jackson 2.7
Solution: Jackson 2.15
Solution: Jackson 3.2 (something went wrong… see below for an update.)
An astute user pointed out that on the 4th-to-last line of writing on the 1st page, I made a key mistake: The first term of the outer potential should be \small B_{0}/r , but I forgot to divide by a factor of \small r . This factor of \small r^{-1} comes from line 19 on the same page. Whoops! Hopefully this helps.
Solution: Jackson 3.7 (only part a is complete)
Solution: Jackson 3.13 (I didn’t bother to check for agreement)
Solution: Jackson 3.20 (parts a & b only, and I didn’t bother to check for agreement)
Solution: Jackson 3.24 (part a only)
Solution: Jackson 3.27 (part a only)
Solution: Jackson 4.7 (parts a & b only – skip the crossed-out part on the second page)
Solution: Jackson 4.8
Solution: Jackson 4.9
Solution: Jackson 4.10
Solution: Jackson 5.6
Solution: Jackson 5.11
Solution: Jackson 5.13
Solution: Jackson 5.15 (parts a & b only)
Solution: Jackson 5.16
Solution: Jackson 5.25 (Only parts a & b are complete. This problem gets nasty)
Solution: Jackson 6.4 (has some small misunderstandings)
Solution: Jackson 6.8
Koorosh Sadri
>> Theoretical Physics @ PSU >> Jan 22, 1998, Tehran, Iran >> Atomic, Molecular and Optical Physics, Gravity, Nonlinear Dynamics and Chaos
- Math Stack Exchange
Jackson's Classical Electrodynamics, a Sparse Solution Manual
You can find the solution to many of Jackson’s problems here ; I agree with most (but not all) of them. In any case, I am taking a graduate course that follows Jackson’s textbook (3rd Ed.). I will post my completed homeworks here. The problemsets contain a number of tailored problems as well as those from the book.
- PSet #1 : Tailored Problems + 1.17 + 1.18
- PSet #2 : Tailored Problems + 2.14 + 2.15 + 2.26
- PSet #3 : Tailored Problems + 3.2 + 3.3 + 3.5 + 3.7 + 3.11
- PSet #4 : Tailored Problems
- PSet #5 : Tailored Problems + 3.15 + 4.1 + 4.7 + 4.13
- PSet #6 : 5.1, 5.17, 5.25, 5.26, 5.29, 5.35
- PSet #7 : 6.4, 6.12, 6.13, 6.14, 7.7
lazyquark's rambling about anything
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| STEM Jock | |||
|---|---|---|---|
| YouTube | Textbook Index | Journal | About |
Solutions to Classical Electrodynamics 3e by J. D. Jackson
| Chapter I: Introduction and Survey ( ) | ||||||
|---|---|---|---|---|---|---|
| Chapter 1: Introduction to Electrostatics | |||||||
|---|---|---|---|---|---|---|---|
| Problem 1.8 | |||||||
| Problem 1.9 | Problem 1.14 | Problem 1.15 | Problem 1.16 | ||||
| Problem 1.17 | Problem 1.18 | Problem 1.19 | Problem 1.20 | Problem 1.21 | Problem 1.22 | Problem 1.23 | Problem 1.24 |
| Chapter 2: Boundary-Value Problems in Electrostatics: I | |||||||
|---|---|---|---|---|---|---|---|
| Problem 2.1 | Problem 2.2 | Problem 2.3 | Problem 2.4 | Problem 2.5 | Problem 2.6 | Problem 2.7 | Problem 2.8 |
| Problem 2.9 | Problem 2.10 | Problem 2.11 | Problem 2.12 | Problem 2.13 | Problem 2.14 | Problem 2.15 | Problem 2.16 |
| Problem 2.17 | Problem 2.18 | Problem 2.19 | Problem 2.20 | Problem 2.21 | Problem 2.22 | Problem 2.23 | Problem 2.24 |
| Problem 2.25 | Problem 2.26 | Problem 2.27 | Problem 2.28 | Problem 2.29 | Problem 2.30 | ||
| Chapter 3: Boundary-Value Problems in Electrostatics: II | ||||||||
|---|---|---|---|---|---|---|---|---|
| Problem 3.1 | Problem 3.2 | Problem 3.3 | Problem 3.4 | Problem 3.5 | Problem 3.6 | Problem 3.7 | Problem 3.8 | Problem 3.9 |
| Problem 3.10 | Problem 3.11 | Problem 3.12 | Problem 3.13 | Problem 3.14 | Problem 3.15 | Problem 3.16 | Problem 3.17 | Problem 3.18 |
| Problem 3.19 | Problem 3.20 | Problem 3.21 | Problem 3.22 | Problem 3.23 | Problem 3.24 | Problem 3.25 | Problem 3.26 | Problem 3.27 |
| Chapter 4: Multipoles, Electrostatics of Macroscopic Media, Dielectrics | ||||||
|---|---|---|---|---|---|---|
| Problem 4.1 | Problem 4.2 | Problem 4.3 | Problem 4.4 | Problem 4.5 | Problem 4.6 | Problem 4.7 |
| Problem 4.8 | Problem 4.9 | Problem 4.10 | Problem 4.11 | Problem 4.12 | Problem 4.13 | |
| Chapter 5: Magnetostatics, Faraday's Law, Quasi-Static Fields | ||||||||
|---|---|---|---|---|---|---|---|---|
| Problem 5.1 | Problem 5.2 | Problem 5.3 | Problem 5.4 | Problem 5.5 | Problem 5.6 | Problem 5.7 | Problem 5.8 | Problem 5.9 |
| Problem 5.10 | Problem 5.11 | Problem 5.12 | Problem 5.13 | Problem 5.14 | Problem 5.15 | Problem 5.16 | Problem 5.17 | Problem 5.18 |
| Problem 5.19 | Problem 5.20 | Problem 5.21 | Problem 5.22 | Problem 5.23 | Problem 5.24 | Problem 5.25 | Problem 5.26 | Problem 5.27 |
| Problem 5.28 | Problem 5.29 | Problem 5.30 | Problem 5.31 | Problem 5.32 | Problem 5.33 | Problem 5.34 | Problem 5.35 | Problem 5.36 |
| Chapter 6: Maxwell's Equations, Macroscopic Electromagnetism, Conservation Laws | ||||||||
|---|---|---|---|---|---|---|---|---|
| Problem 6.1 | Problem 6.2 | Problem 6.3 | Problem 6.4 | Problem 6.5 | Problem 6.6 | Problem 6.7 | Problem 6.8 | Problem 6.9 |
| Problem 6.10 | Problem 6.11 | Problem 6.12 | Problem 6.13 | Problem 6.14 | Problem 6.15 | Problem 6.16 | Problem 6.17 | Problem 6.18 |
| Problem 6.19 | Problem 6.20 | Problem 6.21 | Problem 6.22 | Problem 6.23 | Problem 6.24 | Problem 6.25 | ||
| Chapter 7: Plane Electromagnetic Waves and Wave Propagation | |||||||
|---|---|---|---|---|---|---|---|
| Problem 7.1 | Problem 7.2 | Problem 7.3 | Problem 7.4 | Problem 7.5 | Problem 7.6 | Problem 7.7 | Problem 7.8 |
| Problem 7.9 | Problem 7.10 | Problem 7.11 | Problem 7.12 | Problem 7.13 | Problem 7.14 | Problem 7.15 | Problem 7.16 |
| Problem 7.17 | Problem 7.18 | Problem 7.19 | Problem 7.20 | Problem 7.21 | Problem 7.22 | Problem 7.23 | Problem 7.24 |
| Problem 7.25 | Problem 7.26 | Problem 7.27 | Problem 7.28 | Problem 7.29 | Problem 7.30 | ||
| Chapter 8: Waveguides, Resonant Cavities, and Optical Fibers | |||||||
|---|---|---|---|---|---|---|---|
| Problem 8.1 | Problem 8.2 | Problem 8.3 | Problem 8.4 | Problem 8.5 | Problem 8.6 | Problem 8.7 | |
| Problem 8.8 | Problem 8.9 | Problem 8.10 | Problem 8.11 | Problem 8.12 | Problem 8.13 | Problem 8.14 | |
| Problem 8.15 | Problem 8.16 | Problem 8.17 | Problem 8.18 | Problem 8.19 | Problem 8.20 | Problem 8.21 | |
| Chapter 9: Radiating Systems, Multipole Fields and Radiation | |||||||
|---|---|---|---|---|---|---|---|
| Problem 9.1 | Problem 9.2 | Problem 9.3 | Problem 9.4 | Problem 9.5 | Problem 9.6 | Problem 9.7 | Problem 9.8 |
| Problem 9.9 | Problem 9.10 | Problem 9.11 | Problem 9.12 | Problem 9.13 | Problem 9.14 | Problem 9.15 | Problem 9.16 |
| Problem 9.17 | Problem 9.18 | Problem 9.19 | Problem 9.20 | Problem 9.21 | Problem 9.22 | Problem 9.23 | Problem 9.24 |
| Chapter 10: Scattering and Diffusion | ||||||
|---|---|---|---|---|---|---|
| Problem 10.1 | Problem 10.2 | Problem 10.3 | Problem 10.4 | Problem 10.5 | Problem 10.6 | Problem 10.7 |
| Problem 10.8 | Problem 10.9 | Problem 10.10 | Problem 10.11 | Problem 10.12 | Problem 10.13 | Problem 10.14 |
| Problem 10.15 | Problem 10.16 | Problem 10.17 | Problem 10.18 | Problem 10.19 | Problem 10.20 | |
| Chapter 11: Special Theory of Relativity | |||||||
|---|---|---|---|---|---|---|---|
| Problem 11.1 | Problem 11.2 | Problem 11.3 | Problem 11.4 | Problem 11.5 | Problem 11.6 | Problem 11.7 | Problem 11.8 |
| Problem 11.9 | Problem 11.10 | Problem 11.11 | Problem 11.12 | Problem 11.13 | Problem 11.14 | Problem 11.15 | Problem 11.16 |
| Problem 11.17 | Problem 11.18 | Problem 11.19 | Problem 11.20 | Problem 11.21 | Problem 11.22 | Problem 11.23 | Problem 11.24 |
| Problem 11.27 | Problem 11.28 | Problem 11.29 | Problem 11.30 | Problem 11.31 | Problem 11.32 | Problem 11.31 | |
| Chapter 12: Dynamics of Relativistic Particles and Electromagnetic Fields | ||||||
|---|---|---|---|---|---|---|
| Problem 12.1 | Problem 12.2 | Problem 12.3 | Problem 12.4 | Problem 12.5 | Problem 12.6 | Problem 12.7 |
| Problem 12.8 | Problem 12.9 | Problem 12.10 | Problem 12.11 | Problem 12.12 | Problem 12.13 | Problem 12.14 |
| Problem 12.15 | Problem 12.16 | Problem 12.17 | Problem 12.18 | Problem 12.19 | Problem 12.20 | Problem 12.21 |
| Chapter 13: Collisions, Energy Loss, and Scattering of Charged Particles; Cherenkov and Transition Radiation | |||||||
|---|---|---|---|---|---|---|---|
| Problem 13.1 | Problem 13.2 | Problem 13.3 | Problem 13.4 | Problem 13.5 | Problem 13.6 | Problem 13.7 | Problem 13.8 |
| Problem 13.9 | Problem 13.10 | Problem 13.11 | Problem 13.12 | Problem 13.13 | Problem 13.14 | Problem 13.15 | Problem 13.16 |
| Chapter 14: Radiation by Moving Charges | |||||||
|---|---|---|---|---|---|---|---|
| Problem 14.1 | Problem 14.2 | Problem 14.3 | Problem 14.4 | Problem 14.5 | Problem 14.6 | Problem 14.7 | Problem 14.8 |
| Problem 14.9 | Problem 14.10 | Problem 14.11 | Problem 14.12 | Problem 14.13 | Problem 14.14 | Problem 14.15 | Problem 14.16 |
| Problem 14.17 | Problem 14.18 | Problem 14.19 | Problem 14.20 | Problem 14.21 | Problem 14.22 | Problem 14.23 | Problem 14.24 |
| Problem 14.25 | Problem 14.26 | Problem 14.27 | |||||
| Chapter 15: Bremsstrahlung, Method of Virtual Quanta, Radiative Beta Processes | |||||||
|---|---|---|---|---|---|---|---|
| Problem 15.1 | Problem 15.2 | Problem 15.3 | Problem 15.4 | Problem 15.5 | Problem 15.6 | Problem 15.7 | Problem 15.8 |
| Problem 15.9 | Problem 15.10 | Problem 15.11 | Problem 15.12 | Problem 15.13 | Problem 15.14 | Problem 15.15 | Problem 15.16 |
| Chapter 16: Radiation Damping, Classical Models of Charged Particles | ||||||
|---|---|---|---|---|---|---|
| Problem 16.1 | Problem 16.2 | Problem 16.3 | Problem 16.4 | Problem 16.5 | Problem 16.6 | Problem 16.7 |
| Problem 16.8 | Problem 16.9 | Problem 16.10 | Problem 16.11 | Problem 16.12 | Problem 16.13 | |
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Download Jackson 1.5 Homework Problem Solution
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IMAGES
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COMMENTS
Jackson 1.5 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell PROBLEM: The time-averaged potential of a neutral hydrogen atom is given by = q 4 0 e− r r 1 r 2 where q is the magnitude of the electronic charge, and α-1 = a 0/2, a0 being the Bohr radius. Find the
Jackson_1_5_Homework_Solution.pdf - Free download as PDF File (.pdf), Text File (.txt) or read online for free. This document provides the solution to a homework problem about finding the charge distribution that produces a given potential for a hydrogen atom. The solution shows that the charge distribution consists of a positive point charge at the origin plus a spherical cloud of negative ...
Jackson 5.1 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell PROBLEM: Starting with the differential expression d B= μ0 I 4π d l'× x−x' ∣x−x'∣3 for the magnetic induction at the point P with coordinate x produced by an increment of current I dl' at
Solution: Jackson 5.13. Solution: Jackson 5.15 (parts a & b only) Solution: Jackson 5.16. Solution: Jackson 5.25 (Only parts a & b are complete. This problem gets nasty) Solution: Jackson 6.4 (has some small misunderstandings) Solution: Jackson 6.8. These are my solutions for problems from John David Jackson's Classical Electrodynamics (3rd ...
The Laplacian of 1 r has a singular nature and the identity from Jackson equation (1.31) is used: r2 1 r = 4ˇ (r): (8) The factor of e r vanishes when multiplied with (r), and the nal result is: ˆ(r) = 3e r 8ˇ + (r) q: (9) This charge distribution is physically interpreted as a sharp, discrete peak in the center
C of the conductor S1. For the cylindrical capacitor of Problem 1.6c, evaluate the variational upper bound of Problem 1.17b with the naive trial function, 1( ) = (b )=(b a). Compare the variational result with the exact result for b=a = 1:5; 2; 3. Explain the trend of your results in terms of the functional form of 1.
In any case, I am taking a graduate course that follows Jackson's textbook (3rd Ed.). I will post my completed homeworks here. The problemsets contain a number of tailored problems as well as those from the book. PSet #1: Tailored Problems + 1.17 + 1.18; PSet #2: Tailored Problems + 2.14 + 2.15 + 2.26
Homer Reid's Solutions to Jackson Problems: Chapter 2 7 = 4ˇ 0 16xyx0y0 (x2 +y2)2 = 4 ˇ 0 (xy)(x0y0) (x2 +y2)2: p Problem 2.4 A point charge is placed a distance d>Rfrom the center of an equally charged, isolated, conducting sphere of radius R. (a) Inside of what distance from the surface of the sphere is the
dS =. (1.6)0For all cases:Problem 1.1c showed that the electri. eld is directed radially outward from the center of the spheres.For r > a, E behaves as if caused by a point charg. f the total charge Q of the sphere, at the origin.Q=^r4 0r2As we have seen earlier, for a solid s.
Solution of the jackson book, third edition Soluciones del Dr Christopher S. Baird de la University of Massachusetts Lowell publicados en la pagina de West Texas A&M University (PDF) Jackson_1_5_Homework_Solution (1).pdf | Wuilson Adolfo Estacio Rojas - Academia.edu
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Jackson Solution 14.2 (The last sentence of page 1 reads as "the factors of ||x || make it break down in the far field zone") Jackson Solution 14.3. Jackson Solution 14.4. Jackson Solution 14.5. Jackson Solution 14.6. Jackson Solution 14.7. Jackson Solution 14.8. Jackson Solution 14.9. Jackson Solution 14.10.
Jackson 1.5 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell PROBLEM: The time-averaged potential of a neutral hydrogen atom is given by = q 4 0 e − r r 1 r 2 where q is the magnitude of the electronic charge, and α -1 = a 0 /2, a 0 being the Bohr radius.
These are my solutions to the third edition of Classical Electrodynamics by J. D. Jackson. STEM Jock; ... About: Solutions to Classical Electrodynamics 3e by J. D. Jackson Visit the Textbook's Page on Amazon.com. Chapter I: Introduction and Survey (Solution ... Boundary-Value Problems in Electrostatics: I; Problem 2.1: Problem 2.2: Problem 2.3 ...
Classical Electrodynamics 3rd ed - J.D. Jackson Solutions Manual.pdf. Marcio Sousa. See Full PDF Download PDF. See Full PDF Download PDF. Related Papers. Electric Fields CHAPTER OUTLINE. DannieL Morenoo. Download Free PDF View PDF. INSTRUCTOR'S SOLUTIONS MANUAL INTRODUCTION to ELECTRODYNAMICS.
Download Solutions to problems of jackson's classical electrodynamics kasper van wyk and more Physics Exams in PDF only on Docsity! Answers To a Selection of Problems from Classical Electrodynamics John David Jackson by Kasper van Wijk Center for Wave Phenomena Department of Geophysics Colorado School of Mines Golden, CO 80401 Samizdat Press Published by the Samizdat Press Center for Wave ...
Jackson 4.1 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell PROBLEM: Calculate the multipole moments qlm of the charge distributions shown as parts a and b. Try to obtain results for the non-vanishing moments valid for all l, but in each case find the first two sets of non-vanishing moments at the very ...
Jackson 1.7 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell PROBLEM: Two long, cylindrical conductors of radii a1 and a2 are parallel and separated by a distance d, which is large compared with either radius. Show that the capacitance per unit length is given approximately by C≈πϵ0(ln d a) −1
Jackson 1 7 Homework Solution - Free download as PDF File (.pdf), Text File (.txt) or read online for free. This document provides the solution to a homework problem about calculating the capacitance between two parallel cylindrical conductors. [1] It shows that the capacitance per unit length is approximately equal to πε0ln(d/a), where a is the geometric mean of the two radii. [2]
PROBLEM: Use Gauss's theorem ∮ E⋅nda=. q. and. ∮E⋅d l=0 to prove the following:Any excess charge placed on a condu. tor must lie entirely on its surface. (A conductor by definition contains charges capable of moving freely under t. action of applied electric fields.)A closed, hollow conductor shields its interior from fields due to ...
Download Jackson 1.5 Homework Problem Solution Survey . yes no Was this document useful for you? Thank you for your participation! * Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project . 1. 2. 3. Document related concepts .
Jackson 7.1 Homework Problem Solution. PROBLEM: For each set of Stokes parameters given below deduce the amplitude of the electric field, up to an. on bases and make an accurate drawingsimilar to Fig. 7.4 showing the lengths of the axes of on. (a)
Jackson 9.5 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell PROBLEM: (a) Show that for harmonic time variation at frequency ω the electric dipole scalar and vector potentials in the Lorenz gauge and the long-wavelength limit are Φ(x)= eikr 4πϵ0r 2 n⋅p(1−ik r) A(x)=−i μ0ω 4π eikr r p [this is (9 ...