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National Standard Taper Pipe Threads Size NPT Chart - Includes both External and internal Pipe Thread Data. The taper rate for all NPT threads is 1⁄16 (3⁄4 inch per foot) measured by the change of diameter (of the pipe thread) over distance. The angle between the taper and the center axis of the pipe is 1° 47'′ 24'″ (1.7899°). Commonly-used sizes are 1/⁄8, 1/⁄4, 3/⁄8, 1⁄/2, 3⁄/4, 1, 1 1⁄/4, 1 1⁄/2, and 2 inch, appearing on pipes and fittings by most U.S. suppliers. Sizes smaller than 1/⁄8 inch are occasionally used for compressed air, while sizes larger than 2 inches are uncommon, due to the use of alternative methods of joining that are used with these larger sizes. NPT is defined by ANSI/ASME standard B1.20.1.
Nominal Pipe Size is loosely related to the inside diameter of Schedule 40 pipe. Because of the pipe wall thickness, the actual diameter of the threads is larger than the NPS, considerably so for small NPS. Other schedules of pipe have different wall thickness but the OD (outer diameter) and thread profile remain the same, so the inside diameter of the pipe is therefore different from the nominal diameter.
Notes:
|
Nominal Pipe Size | Thread Pitch Length, P | Hand Tight Thread Engagement | Diameter E1 | Diameter E2 |
1⁄16 | 0.03704 | 0.160 | 0.2611 | |
0.405 | 27 | 0.36351 | 0.37360 | 0.38000 |
1⁄4 | 0.05556 | 0.2278 | 0.4018 | |
0.675 | 18 | 0.61201 | 0.62701 | 0.63750 |
1⁄2 | 0.07143 | 0.320 | 0.5337 | |
1.050 | 14 | 0.96768 | 0.98887 | 1.00179 |
1 | 0.08696 | 0.400 | 0.6828 | |
1.660 | 11 1⁄2 | 1.55713 | 1.58338 | 1.60130 |
1 1⁄2 | 0.08696 | 0.420 | 0.7235 | |
2.375 | 11 1⁄2 | 2.26902 | 2.29627 | 2.31630 |
2 1⁄2 | 0.12500 | 0.682 | 1.1375 | |
3.500 | 8 | 3.34062 | 3.38850 | 3.41562 |
3 1⁄2 | 0.12500 | 0.821 | 1.2500 | |
4.500 | 8 | 4.33438 | 4.38712 | 4.41562 |
5 | 0.12500 | 0.937 | 1.4063 | |
6.625 | 8 | 6.44609 | 6.50597 | 6.54062 |
8 | 0.12500 | 1.063 | 1.7125 | |
10.750 | 8 | 10.54531 | 10.62094 | 10.66562 |
12 | 0.12500 | 1.360 | 2.1250 | |
14.000 | 8 | 13.77500 | 13.87262 | 13.91562 |
16 | 0.12500 | 1.812 | 2.4500 | |
18.000 | 8 | 17.75000 | 17.87500 | 17.91562 |
20 | 0.12500 | 2.125 | 2.8500 | |
24.000 | 8 | 23.71250 | 23.86094 | 23.91562 |
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John David Jackson's 'Classical Electrodynamics' (3rd ed., Wiley, ISBN 0-471-30932-X, with errata) is a rite of passage for graduate students. Those who pass enjoy forcing the same pain on the next generation. Well, here's some help in that regard. Solutions from the problems assigned during the 2001-2000, 2003-2004, 2005-2006, and first half of 2007-2008 classes at the University of Michigan, taught by different professors. For the lazy among you, zip files of each section are provided for bulk download, but as these were added in later no guarantee is made as to the equivalence of filenames between the zipfiles and the linked files.
I have posted every solution that I have available, so while I do appreciate any feedback and comments about this page and its contents, please don't e-mail me asking for solutions that haven't been posted. This is all I have. Delicious library 3 3 5 download free.
9/11/2007 UPDATE: I had no idea when I first posted this site that it'd be so popular. I've had e-mails from students around the world either thanking me for making this available or asking questions about the solutions. I want to thank everyone for making this the #1 Jackson solutions site in the world! If anyone has an equivalent solution set (i.e. from a whole semester) that they'd like to contribute, I'd be happy to add it to the collection with attribution.
10/11/2007 UPDATE: There is another student at the UM who has a Jackson solutions page up. He has solutions entirely different from the ones I have collected (from the 2004-2005 year), and his site is: http://www-personal.umich.edu/~jbourj/em.htm.
12/19/2007 UPDATE: Thanks to a current Jackson student at the University of Michigan, we now have the Fall 2007 Physics 505 solutions!
04/20/2008 UPDATE: The Fall 2007 solutions now include problem assignments and the final, and we now have Winter 2008 solutions as well!
The solutions for the 2001-2002 year were by Jianming Qian, 2003-2004 by Georg Raithel, 2005-2006 and 2007-2008 by James Liu.
06/04/11 UPDATE: A Rutgers student, Philip Naudus, has donated his Jackson solutions for the 2010-2011 school year. They can also be found at his Ephysics Wiki page for discussion and erratas.
03/21/11: Now that I am no longer a student, I have to pay to maintain this page. People from around the world use this resource, and I'd love to keep it available for everyone. It has been paying for itself since March 2010, and will stay up as long as it continues to do so. If you use this site, and have a few dollars to spare, please consider donating via the paypal button below. It'll only take 30 seconds. Thanks!
Physics 505 (a.k.a. 'the first half') 2007-2008 solutions
Problem Set 2 and solution: 2.2, 2.8, 2.10, 2.11
Problem Set 3 and solution: 2.14, 2.15, 2.22, 2.23
Problem Set 5 and solution: 3.13, 3.17, 3.26, 3.27
Problem Set 7 and solution: 5.4, 5.7, 5.8, 5.9
Problem Set 8 and solution: 5.14, 5.14, 5.15, 5.16
Problem Set 9 and solution: 5.19, 5.21, 5.22, 5.27
Problem Set 11 and solution: 7.3, 7.4, 7.6, 7.8
Problem Set 1 and solution: 1.4, 1.5, 1.10, 1.14
Problem Set 3 and solution: 2.12, 2.13, 2.15, 3.1
Problem Set 5 and solution: 3.14, 3.26, 3.27, 4.1
Problem Set 6 and solution: 4.2, 4.6 (a and b), 4.7 (a and b), 4.8
Problem Set 8 and solution: 5.10, 5.14, 5.17, 5.19
Problem Set 10 and solution: 6.3, 6.4, 6.14, 6.18
Practice Midterm and solution
Practice Final and solution
Problem Set 1 and solution: 1.3, 1.5, 1.6, 1.11, 1.12, tailored problem
Problem Set 2 and solution: 1.17, 1.22, 2.1, 2.2, tailored problem
Problem Set 3 and solution: 2.7, 2.8, 2.9, 2.12, 2.30
Problem Set 4 and solution: 2.13, 2.23, 2.24, 3.2, 3.3
Problem Set 5 and solution: tailored problem, 3.17, 3.23
Problem Set 7 and solution: 5.1, 5.3, 5.8, 5.13
Problem Set 9 and solution: 5.22, tailored problem, 6.1, 6.2 (a) and (b)
Problem Set 10 and solution: 6.8, 6.15, 6.18, 7.3, 7.4
Bulk download zipfile for Fall 2003 solutions.
Problem Set 1 solutions: 1.5, 1.6, 1.7, 1.9
Problem Set 3 solutions: 2.10, 2.11, 2.13, 2.21
Problem Set 5 solutions: 3.10, 3.14, 3.22, 3.24
Problem Set 7 solutions: 5.6, 5.13, 5.18, 5.19
Problem Set 8 solutions: 5.10, 5.20, 5.22, 5.27, 5.29
Problem Set 10 solutions: 6.14, 7.2, 7.3, 7.4
Bulk download zipfile for Fall 2001 solutions.
Problem Set 1 solutions: 1.4, 1.5, 1.6, 1.9
Problem Set 3 solutions: 2.7, 2.9, 2.10
Problem Set 5 solutions: 3.1, 3.3
Problem Set 7 solutions: 4.1, 4.7
Problem Set 9 solutions: 5.13, 5.15, 5.19
Bulk download zipfile for Fall 2010 solutions.
Physics 506 (a.k.a. 'the second half') 2007-2008 solutions
![Lillyview Lillyview](https://d1yz07ewrznma9.cloudfront.net/uploads/7939/lowres_626326916b862bd0.jpg)
Problem Set 2 and solution: 8.5, 8.6, 8.7
Problem Set 4 and solution: 9.6, 9.11, 9.16, 9.17
Problem Set 5 and solution: 9.22, 9.23, 9.24, 10.1
Problem Set 6 and solution: 10.2, 10.3, 10.8, 10.9a
Problem Set 7 and solution: 10.12, 10.14, 10.18, 11.3
Problem Set 8 and solution: 11.5, 11.13, 11.14, 11.18
Problem Set 9 and solution: 11.27, 11.30, 12.2, 12.3
Problem Set 10 and solution: 12.10, 12.13, 12.16, 12.19
Problem Set 11 and solution: 13.1, 13.2, 13.3, 13.5
Problem Set 12 and solution: 14.4, 14.5, 14.8, 14.11
Bulk download zipfile for Winter 2008 solutions.
Problem Set 1 and solution: 8.2, 8.4, 8.5
Problem Set 3 and solution: 8.18, 8.19, 9.3, 9.6
Problem Set 5 and solution: 9.19, 9.22 (a and b), 9.23, 10.1
Problem Set 6 and solution: 10.2, 10.3, 10.7, 10.10
Problem Set 7 and solution: 10.14, 10.16, 11.4, 11.5
Problem Set 8 and solution: 11.13, 11.16, 11.18, 11.27
Problem Set 9 and solution: 12.2, 12.9, 12.13, 12.14
Problem Set 10 solution: 12.15, 12.16, 12.19, 12.20
Problem Set 11 and solution: 13.1, 13.2, 13.3, 13.9
Problem Set 12 and solution: 14.2, 14.4, 14.6, 14.12
Bulk download zipfile for Winter 2006 solutions.
Problem Set 2 and solution: 8.6, 8.12, 8.13, 8.20
Problem Set 4 and solution: 9.10, 9.16, 9.17, 9.22
Problem Set 5 and solution: 10.2, 10.3, 10.8, 10.9a
Problem Set 7 and solution: 11.3, 11.5, 11.6, 11.9
Problem Set 8 and solution: 11.13, 11.14, 11.18, 11.19
Problem Set 9 and solution: 12.1, 12.5, 12.9, 12.14, 14.4, 14.12
Bulk download zipfile for Winter 2004 solutions.
Problem Set 01 solutions: 8.2, 8.5, 8.8, 8.18
Problem Set 03 solutions: 9.1, 9.2, 9.3, 9.10
Problem Set 05 solutions: 10.3, 10.9a, 10.12, 10.18
Lillyview 1 4 14 Esv
Problem Set 07 solutions: 11.6, 11.8, 11.13, 11.16
Problem Set 08 solutions: 11.23, 12.2, 12.3, 12.6b
Problem Set 09 solutions: 12.5, 12.9, 12.11, 12.14
Problem Set 10 solutions: 14.4, 14.5, 14.12, 14.13
Problem Set 11 solutions: 14.14, 14.26, 13.1, 13.11
Problem Set 1 solutions: 6.1, 6.4, 6.5
Problem Set 3 solutions: 8.9, 8.14
Problem Set 5 solutions: 11.8a
Lillyview 1 4 14 Commentary
Problem Set 7 solutions: 12.7, 12.9a, 12.10, 12.14
Lillyview 1 4 14 Inch
Bulk download zipfile for Winter 2011 solutions.
Lillyview 1 4 14 Mm
I hope all of this was as useful to you as it was to me. Help the next generation by putting your own solutions online for their enlightenment. The only way to survive Jackson E&M is by standing on the shoulders of those who've gone before.
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