Дополнительные главы ТОЭ.
ВШВЭ, ИЭ, СПбПУ, проф. А.Г. Калимов 2022 |
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Advanced chapters of theoretical electroengineering.
HSHVPE, IE SPbPU, Prof. A.G. Kalimov 2022 |
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General information
Общая информация
Лектор – Калимов Александр Гелиевич,
профессор ВШВЭ ИЭ СПбПУ
Базовая литература:
1.K. Binns, P. Lawrenson. Analysis and computation of electric and magnetic field problems
2.К. Бинс, П. Лауренсон. Анализ и расчет электрических
имагнитных полей.
Дополнительная литература:
3. Gunther Lehner. Electromagnetic Field Theory for Engineers and Physicists.
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Analysis and computation of electromagnetic fields.
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Lecture 1
Fundamental concepts of electromagnetics.
Electrostatics.
(after: Gunther Lehner. Electromagnetic Field Theory for Engineers and Physicists)
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Vectors and scalar fields.
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Operations with vectors. addition and subtraction
R A B |
Rs B C B ( C) |
a |
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Parallelogram and head-to-tail rules
Components of the vector in the
Cartesian coordinate system
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Vector multiplication.
Dot product
Dot product or scalar product
A B A B cos
If the vector components are known |
A B Ax Bx Ay By Az Bz |
The dot product of two same vectors is |
A A A2 |
A2 |
A2 |
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x |
y |
z |
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Vector multiplication.
Cross product
Cross product |
or vector product |
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Bx By Bz |
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ax , ay , az |
Are the unit vectors in the Cartesian coordinate system |
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Differential operations.
Gradient of a scalar field.
Object of operation is a scalar field
Result of operation is a vector field
Designation: grad (U ) U
In the Cartesian |
grad(U ) |
U |
U |
U |
coordinate system: |
x ix |
y iy |
z iz |
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