Fundamentals of Electromagnetic Fields

Appendix A: Some Formulae from Vector Analysis

TABLE A 1: Dot product of unit vectors.

(a) Rectangular Vs Cylindrical

Dot Product

a x

a y

a z

a r

0

a f

0

a z

0

0

1

(b) Rectangular Vs Spherical

Dot Product

a x

a y

a z

a r

a q

a f

0

TABLE A 2: Transformation of a vector field.

Sr No

Transformation equations

1

Rectangular to Cylindrical:

2

Rectangular to Spherical:

3

Cylindrical to Rectangular:

4

Spherical to Rectangular:

Some important formulas in different coordinate systems:

  1. Gradient


  2. Divergence


  3. Curl


  4. Laplacian Operator


UNLIMITED FREE
ACCESS
TO THE WORLD'S BEST IDEAS

SUBMIT
Already a GlobalSpec user? Log in.

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.

Customize Your GlobalSpec Experience

Category: Color Meters and Appearance Instruments
Finish!
Privacy Policy

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.