Timeline for Direction of $d\mathbf{l}$
Current License: CC BY-SA 4.0
11 events
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| Aug 11, 2019 at 18:43 | comment | added | BioPhysicist | @Zam Yeah that's the convoluted way the deleted answer of Bio explained. It doesn't make it wrong. I just like the idea of the lower limit as the starting point and the upper limit as the ending point. If you prefer the lower limit to always be less than the upper limit then that's fine too. I just think it requires more thought. | |
| Aug 11, 2019 at 17:35 | comment | added | Zam | I have difference in opinion on whether this is the right way to answer. Whether a negative sign appears or not is dependent on whether the displacement component is along the direction of force component or opposite to it. When the positive axis is in the direction of force, the sign is taken care by the arrangement of the limits. But when the positive axis is opposite to the direction of force, we need to put a negative sign and then set up the limits. | |
| Jul 15, 2019 at 11:08 | history | edited | BioPhysicist | CC BY-SA 4.0 |
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| Jun 17, 2019 at 23:47 | vote | accept | Siddhartha | ||
| Jun 14, 2019 at 14:43 | history | edited | BioPhysicist | CC BY-SA 4.0 |
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| May 1, 2019 at 21:29 | comment | added | BioPhysicist | @JoshMcK yes, that is correct | |
| May 1, 2019 at 21:20 | comment | added | user138962 | If I remember correctly, one of the inside covers of Griffiths' E&M shows this, albeit in Cartesian coordinates: $d\vec{l} = dx\ \hat{x} + dy\ \hat{y} + dz\ \hat{z}$ always, independent of path direction. | |
| Apr 30, 2019 at 22:51 | comment | added | BioPhysicist | @BillN exactly. The other answers do it the "dangerous ways". Which work but are more confusing. | |
| Apr 30, 2019 at 17:53 | comment | added | Bill N | Good answer, Aaron. As I tell my students, the limits of the integral set the direction of the travel. The differential vector element shows the positive change direction of the coordinate which is being integrated. It's dangerous to try to show the path direction with both. | |
| Apr 30, 2019 at 14:02 | history | edited | BioPhysicist | CC BY-SA 4.0 |
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| Apr 30, 2019 at 13:57 | history | answered | BioPhysicist | CC BY-SA 4.0 |