Electromagnetics - Vector Analysis(1)

 

 

---

Vector Analysis

 

 

 

 

 

Scalar & Vector

 

- Scalar : Temperature, Time, Distance, Mass, Density, Pressure, Voltage, charge density  ........

- Vector : Force, Velocity, Acceleration, Electric field intesnity

 

 

 

 

Scalar field & Vector field

 

- Scalar field : scalar 물리량의 위치별 분포

  ex) T(x,y,z) = 20'C   /   T(x,y,z) = 20'C*x - 10'C

 

 

 

 

- Vector field : vector 물리량의 위치별 분포 ( 위치별로 vector 물리량이 달라짐 )

 

 

 

 We are accustomed to thinking of a specific vector :

 

 

 

A vector field is a function defined in space that has magnitude and direction at all points :

where r = (x,y,z) // Vx(r) = Vx(x,y,z)

 

 

 

 

Vector Field Example

 

 

 

 

Vector scalar multiplication

 

 

 

 

Vector Subtraction

 

 

 

 

Orthgonal Unit Vectors

 

 

 

 

 

 

Orthogonal Vector Components

 

 

 

- Vector Representation using Orthogonal Rectangular Unit Vectors.

Vector Representation

 

 

 

 

Vector Expressions in Rectangular Coordinates

 

 

 

( ** 단위벡터는 vector를 해당 vector의 크기로 나눈 것이다. )