Читать книгу RF/Microwave Engineering and Applications in Energy Systems - Abdullah Eroglu - Страница 28

A line integral is defined as the integral of the tangential components of a vector along the curve, such as the one shown in Figure 1.12. A line integral is then expressed as

Figure 1.11 Illustration of differential length, area, and volume in a spherical coordinate system.

(1.45)

One of the practical examples for the line integral application is finding work that is required to move a charge from point a to point b, similar to the one shown in Figure 1.12. This can be expressed in terms of the line integral of the electric field, .

Figure 1.12 Vector along the curve.