Gradient,divergence and curl.

  • Thread starter Urmi Roy
  • Start date
  • #36
Urmi Roy
753
1
Please forgive me for extending even further...just my last two questions..

1. When we calculate curl,we reduce the area over which the path integral is being integrated to a single point--however,due to this, the magnitude of curl should always be very small,as the path integral over an area as small al that would be near to zero!
Am I saying something wrong?

2.Direction of curl is defined as the direction of maximum rotation...what doe the 'maximum' imply?
 
  • #37
Lord Crc
342
47
1. When we calculate curl,we reduce the area over which the path integral is being integrated to a single point--however,due to this, the magnitude of curl should always be very small,as the path integral over an area as small al that would be near to zero!

But you divide by the (near-zero) area as well. This is similar to how the derivative is defined. The difference f(x+h)-f(x) will also be nearly zero (for continuous functions) as h goes to zero, but you divide by h, and so you get something else for the limit.
 

Suggested for: Gradient,divergence and curl.

  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
1
Views
627
Replies
15
Views
188
  • Last Post
Replies
4
Views
1K
Replies
11
Views
735
  • Last Post
Replies
3
Views
609
  • Last Post
Replies
3
Views
750
  • Last Post
Replies
2
Views
857
Replies
11
Views
586
Top