Why do we put the dot multiplication symbol when integrating

  • #1
This is I think a really dumb question, but I never got it, why do we have that dot symbol when we integrate. Like in gauss's law, we have ∫E⋅dA . why is that ⋅ there?

Thank you for your help
 

Answers and Replies

  • #2
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,796
1,668
This is I think a really dumb question, but I never got it, why do we have that dot symbol when we integrate. Like in gauss's law, we have ∫E⋅dA . why is that ⋅ there?

Thank you for your help
You are integrating two vector quantities. The dot is there to indicate the scalar product of the electric field E and the infinitesimal bit of surface area dA.

https://en.wikipedia.org/wiki/Gauss's_law
 
  • #3
34,687
6,394
You are integrating two vector quantities. The dot is there to indicate the scalar product of the electric field E and the infinitesimal bit of surface area dA.
The scalar product that SteamKing mentions is also called the "dot product."
 
  • #4
Ah!! Thank you! That really clears it up!
 

Related Threads on Why do we put the dot multiplication symbol when integrating

Replies
2
Views
1K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
12
Views
28K
Replies
5
Views
3K
Replies
8
Views
1K
  • Last Post
Replies
5
Views
3K
Replies
2
Views
2K
Replies
2
Views
1K
Top