Electromagnetic Theory (TE-232) -...
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Electromagnetic Theory (TE-232) Lecture by: Mr. Shakir Karim Buksh Assistant Professor Telecommunication Engineering Department SSUET/QR/111
Transcript of Electromagnetic Theory (TE-232) -...
Electromagnetic Theory (TE-232)
Lecture by:Mr. Shakir Karim Buksh
Assistant ProfessorTelecommunication Engineering Department
SSUET/QR/111
Vector Calculus
SSUET/QR/111
Lecture 4
By: Shakir Karim BukshTelecommunication Engineering Department
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Differential Length, Area & Volume
By: Shakir Karim BukshTelecommunication Engineering Department
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Differential Elements in length, area & volume
are useful in Vector Calculus.
We are defining them for
•Cartesian Coordinate System
•Circular Cylindrical System
•Spherical System
Cartesian Coordinate System
SSUET/QR/111
4By: Shakir Karim BukshTelecommunication Engineering Department
Cartesian Coordinate System (contd/2)
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Cartesian Coordinate System (contd/3)
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Telecommunication Engineering Department
Cylindrical Coordinate System
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Telecommunication Engineering Department
Cylindrical Coordinate System (contd/2)
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Cylindrical Coordinate System (contd/3)
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Cylindrical Coordinate System (contd/3)
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Cylindrical Coordinate System (contd/3)
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Cylindrical Coordinate System (contd/4)
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Cylindrical Coordinate System (contd/4)
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Cylindrical Coordinate System (contd/4)
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Cylindrical Coordinate System (contd/4)
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Cylindrical Coordinate System (contd/4)
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Cylindrical Coordinate System (contd/4)
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Cylindrical Coordinate System (contd/4)
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Cylindrical Coordinate System (contd/4)
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Cylindrical Coordinate System (contd/4)
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Cylindrical Coordinate System (contd/4)
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Spherical Coordinate System
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Spherical Coordinate System
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Spherical Coordinate System
SSUET/QR/111
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Spherical Coordinate System (contd/2)
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Spherical Coordinate System (contd/2)
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Differential Length, Surface Area and Volume elements for each geometry
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Line, Surface & Volume Integrals
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The line integral is the integral of the tangential component of A
along curve L.
where,
A is the vector field,
L is the curve.
SSUET/QR/111
Line, Surface & Volume Integrals
By: Shakir Karim BukshTelecommunication Engineering Department
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The line integral is the integral of the tangential component of A
along curve L.
where,
A is the vector field,
L is the curve.
The closed contour integral is
the path of integration of the closed curve
(aka circulation of A around L)
SSUET/QR/111
Line, Surface & Volume Integrals
By: Shakir Karim BukshTelecommunication Engineering Department
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SSUET/QR/111
Line, Surface & Volume Integrals
By: Shakir Karim BukshTelecommunication Engineering Department
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SSUET/QR/111
Line, Surface & Volume Integrals
By: Shakir Karim BukshTelecommunication Engineering Department
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NOTE:
a closed path defines an open surface as shown in Figure 3.11
SSUET/QR/111
Line, Surface & Volume Integrals
By: Shakir Karim BukshTelecommunication Engineering Department
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NOTE:
a closed path defines an open surface as shown in Figure 3.11
whereas
a closed surface defines a volume as depicted in Figure 3.16
SSUET/QR/111
Line, Surface & Volume Integrals
By: Shakir Karim BukshTelecommunication Engineering Department
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NOTE:
a closed path defines an open surface as shown in Figure 3.11
whereas
a closed surface defines a volume as depicted in Figure 3.16
SSUET/QR/111
Line, Surface & Volume Integrals
By: Shakir Karim BukshTelecommunication Engineering Department
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SSUET/QR/111
The Next Lecture will be on
differentiation of Vectors
By: Shakir Karim BukshTelecommunication Engineering Department
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