Lecture notes were made while watching the recorded lectures assigned to watch. These notes include theory (theorems) and worked out examples from the lecturer.
These specific notes cover Stoke's Theorem.
3. 8. Stoke's Theorems
evaluate flux integrals under specific conditions
of field
integrals vector :
line a
"
! Edt must be conservative
2) { f- ( Fcb) ) feria))
'
Fdr
'
-
-
3) ftp.dxeady-DQx-bydA
R
Now JSÉ .dj ( LU 3.7)
↳ surface integral
HE .DE fggdivfdv
143-8 143-9
'
f) curl E. 05=5 Edf -
'
E
S
Right-hand Rule ,
-
$tt•¥F*r¥nTthh - -
i
- "
shows in direction of ñ orientated surface
Thumb -
i. let sbea
arts
'
Curl in direction Ofc
'
let c be the boundary
fingers
'
I
as given by
RHR
-
with direction
I
1 Then
dÉ=jÉjj
.
of surface Crim ) your / E. ,
boundary ,
{ int {
Us
-
orientated surface I int
I
← l
- - - - - - -
-
←
↓ ↓
ñ
Stokes relation → flux int .
+ line int .
overs over a
( Rotation
theorem
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