The document is a presentation on the divergence theorem and curl of a vector in the context of an engineering electromagnetic course. It outlines the mathematical, geometrical, and physical contexts, along with applications in various fields and includes problem-solving methods. The divergence theorem connects the flux of a vector field through a closed surface to the field's divergence within the volume it encloses.

1. TO MY PRESENTATION
Divergence theorem curl of a vector
Course Title: Engineering
Electromagnetic
Course Code: EEE-205
Course Instructor
MD. Shahnewaz
(Lecturer Dept of EEE)
Green University of Bangladesh
Presented by
Apu Biswas
Dept. of Electrical and Electronic
Engineering
ID:221010045

2. Outline
Introduction
Classification
Vector field
Divergence
Problem
Curl
Curl of vector
Applications

3. what is
Divergence
theOrem anD
curl Of a
vectOr?
The Divergence Theorem, also known as
Gauss's Theorem, is a fundamental result in
vector calculus that relates the flux of a
vector field through a closed surface to the
divergence of the field within the volume
enclosed by that surface.

4. Classification
 Mathematical Context
 Geometrical Context
 Physical Context
 Applications in Specific Fields
 Theoretical Extensions
 Computational Methods
 Pedagogical Context

5. Ac,ivate J
Go tc Semng,

6. •
Definition: If
• •
f(X,y} = Jvf(x.y,.:)i+ N(x,y,.:}j+ Hx,y.l- IP vector
field function then
• • ►
£lil·f ..(.r'l_r.:) = /_f-..(.r._r..:)
/'./ (:,/ </}
= : - - - + +
.....
( . "
....
( '
....
( . :
Acti, te
ng

7. . , 'Find th1e1
dive,rgence of the vector fi1
el1
d1
.•
I A
• (47-50,page no 1 0 0 2 )
• 48., F x.
• •=xex{+ye}·1x·y j
A A A
. , so- F( y)=ht( + J- ,rt .. J+1n(y + -)k
. , 'Findth1e1divergence ofth,e·vector fi,elld.Fat the ind1
icated
1po·nt(5·1.-54p1age n o 1002)
A / A
, . , 54, F1 x- , ) e--9, .i+ j+k)- (3, 0)

8. Activa e
, , _ . _ .. - C" - ... -

10.  In fluid dynamics, the curl can represent the rotation of
fluid particles.
 In electromagnetism, the curl of the magnetic field relates
to the electric current and the changing electric field
(Ampère's Law with Maxwell's addition).

11. I Don’t Prolong My Session
THANK YOU
VERYMUCH FOR
STAYING WITH
ME