Griffiths – Introduction to Electrodynamics problems

Here are my solutions to various problems in David J. Griffiths’s excellent textbook Introduction to Electrodynamics, Third Edition. Obviously I can’t offer any guarantee that all the solutions are actually correct, but I’ve given them my best shot.

After some consideration, I’ve decided to repost this index to the solutions. I understand that some folks may be concerned that I am providing ‘free’ answers to problems that some students have been assigned as homework, but there are several points that should be made:

  • First, solutions to the problems in Griffiths’s textbooks are already readily available on the internet, as a cursory search with Google will reveal, so I’m not giving away anything that isn’t easily obtained by other means. Many of these solutions are provided by professors for their own courses.
  • If a teacher is concerned about students copying answers from the internet, s/he should consider making up their own problems. I did this for the courses that I taught in my 25 years as a university lecturer. For a field as rich as physics, it shouldn’t be too difficult to come up with original problems.
  • If you’re a student seeking to copy solutions, you should realize that you won’t learn much unless you make a genuine effort to solve the problem on your own first. Remember that in most universities, the majority of the marks for a course are obtained from exams, and if you sit an exam without having worked out problems on your own beforehand, your chances of passing are pretty low. In my experience as a teacher myself, I found that most students realize this and do make a genuine effort to learn the material on their own.
  • Finally, judging by many comments I have received, my posts have provided many readers with different (and hopefully in many cases, clearer) explanations of sometimes difficult concepts, so their value goes beyond merely providing solutions to a few textbook problems. In most of my posts, I have tried to provide an explanation of the theory behind the problem in a way that makes sense to me, which usually involves filling in steps sometimes omitted in the textbooks.

These solutions are the only ones that I’ve worked out so far, so please don’t ask me to post “the rest of the chapters” as I haven’t worked on those yet. I will get to them eventually.

Chapter 1 – Vector analysis

1.61

Chapter 2 – Electrostatics

2.3, 2.4, 2.52.6, 2.7, 2.82.11, 2.12, 2.13, 2.14, 2.15, 2.16, 2.17, 2.182.202.21, 2.22, 2.23, 2.242.25, 2.262.27, 2.282.302.312.32, 2.332.35, 2.362.37, 2.382.39, 2.402.41, 2.42, 2.43, 2.442.462.472.482.492.50

Chapter 3 – Special Techniques

3.13.63.7, 3.10, 3.113.12, 3.133.143.153.17, 3.18(a)3.18(b), 3.193.213.223.233.243.253.263.27, 3.28, 3.29, 3.333.343.353.363.373.383.393.403.413.423.43, 3.443.45, 3.46, 3.47, 3.48a

Chapter 4 – Electric Fields in Matter

4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 4.10, 4.11, 4.12, 4.13, 4.14, 4.15, 4.164.18, 4.19, 4.20, 4.21, 4.22, 4.23, 4.24, 4.25, 4.264.27, 4.28, 4.29, 4.30, 4.31, 4.32, 4.33, 4.34, 4.35, 4.36, 4.374.38, 4.394.40

Chapter 5 – Magnetostatics

5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11, 5.12, 5.13, 5.14, 5.15, 5.165.17, 5.18, 5.19, 5.205.21, 5.22, 5.23, 5.24, 5.25, 5.26, 5.27, 5.28, 5.29, 5.30, 5.315.32, 5.33, 5.34, 5.35, 5.36, 5.375.38, 5.39, 5.40, 5.41, 5.425.43, 5.44, 5.45, 5.46, 5.47, 5.48, 5.49, 5.50a5.51, 5.52, 5.53, 5.54, 5.555.56, 5.57, 5.58, 5.595.60, 5.61

Chapter 6 – Magnetic Fields in Matter

6.1, 6.2, 6.36.4, 6.5, 6.7, 6.8, 6.9, 6.10, 6.11, 6.12, 6.13, 6.15, 6.16, 6.17, 6.18, 6.19, 6.216.22, 6.236.246.25, 6.26, 6.276.28

Chapter 7 – Electrodynamics

7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.87.9, 7.10, 7.11, 7.12, 7.13, 7.14, 7.15, 7.16, 7.17, 7.18, 7.19, 7.20, 7.21, 7.22, 7.23, 7.24, 7.25, 7.26, 7.27, 7.28, 7.29, 7.30, 7.31, 7.32, 7.33, 7.34, 7.357.36, 7.377.38, 7.39, 7.40, 7.41, 7.437.44, 7.45, 7.46, 7.47, 7.48, 7.49, 7.50, 7.51, 7.52, 7.53, 7.54, 7.557.56, 7.57, 7.58, 7.59, 7.60

Chapter 8 – Conservation Laws

8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.11, 8.12, 8.138.14

Chapter 9 – Electromagnetic Waves

9.1, 9.2, 9.3, 9.4, 9.5, 9.6, 9.7, 9.8, 9.9, 9.10, 9.11, 9.12, 9.139.14, 9.15, 9.16, 9.17, 9.18a, 9.18b-c, 9.19a-b, 9.19c, 9.20, 9.21, 9.22, 9.23a, 9.23b, 9.24, 9.25, 9.26, 9.27, 9.28, 9.29, 9.30, 9.31, 9.32, 9.339.34, 9.35, 9.36, 9.37, 9.38

Chapter 10 – Potentials and Fields

10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.7, 10.8, 10.9, 10.10, 10.11, 10.12, 10.13, 10.14, 10.15, 10.16, 10.17, 10.18, 10.19, 10.20, 10.21, 10.22, 10.23, 10.24, 10.25, 10.26

Chapter 11 – Radiation

11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.8, 11.9, 11.10, 11.11, 11.12, 11.13, 11.14, 11.15, 11.16, 11.17,  11.18,  11.19, 11.2011.21, 11.22, 11.23, 11.24, 11.25, 11.2611.27, 11.28, 11.29, 11.30a, 11.30b, 11.31

Chapter 12 – Electrodynamics and Relativity

12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.7, 12.8, 12.9, 12.10, 12.11, 12.12, 12.13, 12.14, 12.15, 12.16, 12.17, 12.18, 12.19, 12.20, 12.21, 12.22, 12.23, 12.24, 12.25, 12.26, 12.27, 12.28, 12.29, 12.30, 12.31, 12.32, 12.33, 12.34, 12.35, 12.36, 12.37, 12.38, 12.39, 12.40, 12.4112.42, 12.43, 12.44, 12.45, 12.46, 12.47, 12.48, 12.49, 12.57, 12.58, 12.59, 12.60

Comments

  • ali  On Monday, 21 January 2013 at 13:36

    Thank you very much……! It’s great…..!

  • Abhilash Sharma  On Thursday, 24 January 2013 at 09:14

    its nice..
    one thing, soln of prob. 2.9 and 2.10 are not given though they r easy , but (b) part of 2.9 is very conceptual so upload that also…

  • Jerry  On Tuesday, 5 February 2013 at 23:01

    do you have the rest of the chapters?
    this is a life saver!

    • growescience  On Wednesday, 6 February 2013 at 14:11

      Not yet – will get there eventually.

  • Anonymous  On Wednesday, 6 February 2013 at 22:45

    Sounds good, your explanations are very succinct and clear, many thanks!

  • Parmar Dignesh  On Tuesday, 26 February 2013 at 21:05

    Plese,upload chap 1 solution.

  • Rafi Ullah Afridi  On Friday, 5 April 2013 at 10:02

    very good, specially your explanation of problems.
    plZ upload chapter 6

  • Anonymous  On Friday, 5 April 2013 at 13:14

    Infact there is an instructor’s solution manual .But there is a mistake in it 2.1
    But u didnt workout it here

    • Alesha  On Wednesday, 13 November 2013 at 05:06

      i’d be interested to hear what you think the mistake is in 2.1.

  • ashok  On Monday, 8 April 2013 at 10:20

    interested in chapters 7 to 12

  • Jerry  On Sunday, 21 April 2013 at 03:15

    These solutions are very very helpful to me, you’ve explained it vary well.

  • Viktor.G  On Tuesday, 23 April 2013 at 16:44

    Good job fella , I am waiting (unpatiently) for the rest chapters . Heil Sagan.

  • Jerry  On Friday, 10 May 2013 at 07:51

    Five chapters yet?
    Please carry on with the good job, they’d been of great help to me.

  • Anonymous  On Monday, 29 July 2013 at 11:28

    salamuna, You explain it very well.thank you very much

  • Salma Ahmad  On Friday, 16 August 2013 at 15:57

    please upload the solution of problem 3.10 chapter special techniques.

  • Anonymous  On Wednesday, 25 September 2013 at 17:54

    Has anyone worked through the many parts of problem 2.54? I would really appreciate if someone could help out with them, in particular part g.

    These solutions have been incredibly helpful otherwise. Thanks!

    • growescience  On Thursday, 26 September 2013 at 08:22

      There are only 51 problems in chapter 2 (in the third edition). What edition are you using?

      • Anonymous  On Thursday, 26 September 2013 at 14:51

        Ahhh, my mistake. I was looking at the wrong edition. It turns out 2.54 in the 4th ed. is just about the same as 2.49 in the 3rd. Thanks for pointing out the mix-up!

  • Anonymous  On Sunday, 26 January 2014 at 02:05

    your method of explaining the concepts and the underlying reason of the maths is wonderful….GREAT JOB SIR!!!

  • Anonymous  On Thursday, 27 March 2014 at 22:28

    Thanks for maintaining this site! Much better than a solutions manual because you actually explain why you do what you do–so it’s possible to follow along and actually learn from the problems. I used your solutions for Griffiths’ Quantum Mechanics too!

  • koushik  On Wednesday, 23 April 2014 at 13:45

    I find the explanation to the solution really helpful. Million thanks for your effort in publishing this content.

  • Anonymous  On Saturday, 26 April 2014 at 23:19

    These are really very well done. Kudos and thanks!

  • Anonymous  On Wednesday, 30 April 2014 at 15:35

    its awesome !!!!!

  • mithilesh kumar  On Tuesday, 6 May 2014 at 17:29

    thanks,this is really halpfull

  • Anonymous  On Thursday, 29 May 2014 at 06:26

    thank u so much

  • luka  On Sunday, 6 July 2014 at 17:04

    It is really helpful.. Thank u so much.thank u.

  • Christian  On Tuesday, 8 July 2014 at 17:15

    Hi, do you have the solution to the 8.9 Problem from the 4th Edition. I have my solution but I need to compare with someone.

    • growescience  On Tuesday, 8 July 2014 at 17:38

      Sorry, I don’t have the 4th edition.

  • Anonymous  On Friday, 22 August 2014 at 02:15

    Thank you so much for explaining the problems! It is a great help!

  • Anonymous  On Saturday, 13 September 2014 at 07:07

    Great initiative. Thanks! :)

  • junku901  On Wednesday, 17 September 2014 at 07:17

    Thank you so much. It is awesome!!

  • 4749  On Monday, 22 September 2014 at 17:01

    Thank you so much..

  • Anonymous  On Wednesday, 24 September 2014 at 05:32

    Awesome job!
    Really appreciate it!

  • Anonymous  On Monday, 17 November 2014 at 08:20

    Awesome!!!
    really helpful
    I guess I can pass the object now!!

  • Rocio Rivera  On Wednesday, 19 November 2014 at 00:37

    THANK YOU VERY MUCH!!!!!!!!!!!!!!!!!!!!!!!
    May God bless you for helping other people learn physics :)

    • growescience  On Wednesday, 19 November 2014 at 07:41

      You’re welcome. Glad you enjoy the blog.

  • Anonymous  On Wednesday, 19 November 2014 at 04:45

    Thanks!!! Very Helpfull!!!!

  • darmudasir  On Wednesday, 26 November 2014 at 16:21

    amazing task ,very helpful

  • Anonymous  On Saturday, 29 November 2014 at 16:51

    Wonderful blog! It is invaluable to me, thank you!

  • Anonymous  On Sunday, 30 November 2014 at 00:03

    Can never thank you enough <3

  • David Dorenfeld  On Wednesday, 17 December 2014 at 18:32

    Very helpful. Especially like the cross-referencing to other posts and the review of the theory before getting into the problem solution. Excellent.

  • Steve  On Sunday, 28 December 2014 at 09:19

    Thank you very much!!! But could you please solve the problem 2.40 of the 4th edition? THANK YOU!!

    • growescience  On Sunday, 28 December 2014 at 17:14

      I’ve added 2.40 from the third edition (I don’t have the 4th edition, but the problem is probably the same).
      Don’t know how I missed that one.

  • Anonymous  On Monday, 29 December 2014 at 12:31

    thanks a lot for u r kind help

  • FREDDY PIOPO  On Thursday, 5 March 2015 at 00:03

    Thankyou very much………….Its helps me alot as I am a bebinner in physics. very helpfull than any other wensite in terms of problem solving.

  • karulg  On Saturday, 21 March 2015 at 08:24

    I usually use the official solution manuel, but for some of the problems i needed (more) explnations to really understand them. Thanks a lot.

    • growescience  On Saturday, 21 March 2015 at 08:33

      Glad you find it useful.

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