电磁场与电磁波——矢量分析与场论.ppt

Vector : the magnitude of A： A=(A2x+A2y+A2z)1/2 2). Vectors algebra (Vector ) (1). Plus and minus (2).Product 2). Vectors algebra (Vector ) (2).Product 1.3.3 Circulation and Curl of vector field 1. Circulation of vector field :vector field :close directing curve in ★The line integral of along , is called Circulation ★Physical significance of equation swirl source * * Chapter 1 Vector analysis field theory§1.1 Vectors algebra 1.Scalar , Vector Field Scalar: , voltage, temperature , time, quality , electric charge Only Value Unit Scalar field: the set of scalars with the same category and infinite number Vector: , electrical field intensity ， magnetic field intensity，force ，moment of force Value , Unit direction Vector field: the set of vectors with the same category and infinite number Chapter 1 Vector analysis field theory§1.1 Vectors algebra1.Scalar , Vector Field Field: Scalar field, Vector field, tensor field 1.continuous distribution of physical quantity in certain space 2. actually exist 3.The space of a certain property , have energy, transfer interaction 2.Vectors algebra 1).Representation of vector (in rectangular coordinate system) Null Vector (Zero Vector), Unit Vector The point P(X,Y,Z) is represented by . is called Position Vector. Projection of P to coordinate axes Important identical equations: Proof of the identical equations: Do-it-yourself Assignment: 1.There are three vector, as follows: Please calculate: (1). Unit vector (2). The angle between (3). (4). Chapter 1 Vector analysis field theory§1.2- 1.3 The cylindrical coordinate system