Название: RF/Microwave Engineering and Applications in Energy Systems
Автор: Abdullah Eroglu
Издательство: John Wiley & Sons Limited
Жанр: Техническая литература
isbn: 9781119268819
isbn:
Example 1.5 Stokes' Theorem
Please verify Stokes' theorem for the geometry given in Figure 1.19 for the vector
Solution
We first calculate the left‐hand side of Eq. (1.87) as
Figure 1.18 Illustration of Stokes' theorem.
Figure 1.19 Geometry of Example 1.5.
which leads to
The differential surface area is found from
Then
Now, we calculate the right‐hand side of the equation for each segment as
1 x = 0, z = 0, ,
2 x = 0, y = 1, ,
3 x = 0, z = 1, ,
4 x = 0, y = 0, ,
Hence
As a result, it is confirmed that
for Example 1.5.
1.4 Maxwell's Equations
1.4.1 Differential Forms of Maxwell's Equations
Maxwell's equations in differential forms in the presence of an impressed magnetic current density
where
The continuity СКАЧАТЬ