Difference between revisions of "Electromagnetic wave"
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A transverse wave composed of an oscillating electrical field and a magnetic field that oscillates perpendicular to the electric field.<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref> | A transverse wave composed of an oscillating electrical field and a magnetic field that oscillates perpendicular to the electric field.<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref> | ||
| − | Electromagnetic waves was predicted by the classical laws of electricity and magnetism, known as Maxwell's equations | + | Electromagnetic waves was predicted by the classical laws of electricity and magnetism, known as Maxwell's equations: |
| + | {| class="wikitable" border="1" cellpadding="8" cellspacing="0" | ||
| + | ! Name | ||
| + | ! [[Partial Differential Equations]] | ||
| + | ! [[Integral Equations]] | ||
| + | |- | ||
| + | | Gauss's law of Conservation: | ||
| + | | <math>\nabla \cdot \mathbf{D} = \rho</math> | ||
| + | | <math>\oint_S \mathbf{D} \cdot \mathrm{d}\mathbf{A} = \int_V \rho\, \mathrm{d}V</math> | ||
| + | |- | ||
| + | | Gauss' law Of Magnetism: | ||
| + | | <math>\nabla \cdot \mathbf{B} = 0</math> | ||
| + | | <math>\oint_S \mathbf{B} \cdot \mathrm{d}\mathbf{A} = 0</math> | ||
| + | |- | ||
| + | | Faraday's Law of Induction: | ||
| + | | <math>\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}} {\partial t}</math> | ||
| + | | <math>\oint_C \mathbf{E} \cdot \mathrm{d}\mathbf{l} = - \int_S \frac{\partial\mathbf{B}}{\partial t} \cdot \mathrm{d} \mathbf{A}</math> | ||
| + | |- | ||
| + | | Ampère's Law of Circulation<br /> | ||
| + | | <math>\nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}} {\partial t}</math> | ||
| + | | <math>\oint_C \mathbf{H} \cdot \mathrm{d}\mathbf{l} = \int_S \mathbf{J} \cdot \mathrm{d} \mathbf{A} + | ||
| + | \int_S \frac{\partial\mathbf{D}}{\partial t} \cdot \mathrm{d} \mathbf{A}</math> | ||
| + | |} | ||
[[Category:Physics]] | [[Category:Physics]] | ||
== References == | == References == | ||
<references /> | <references /> | ||
Revision as of 02:56, March 31, 2007
A transverse wave composed of an oscillating electrical field and a magnetic field that oscillates perpendicular to the electric field.[1]
Electromagnetic waves was predicted by the classical laws of electricity and magnetism, known as Maxwell's equations:
| Name | Partial Differential Equations | Integral Equations |
|---|---|---|
| Gauss's law of Conservation: | <math>\nabla \cdot \mathbf{D} = \rho</math> | <math>\oint_S \mathbf{D} \cdot \mathrm{d}\mathbf{A} = \int_V \rho\, \mathrm{d}V</math> |
| Gauss' law Of Magnetism: | <math>\nabla \cdot \mathbf{B} = 0</math> | <math>\oint_S \mathbf{B} \cdot \mathrm{d}\mathbf{A} = 0</math> |
| Faraday's Law of Induction: | <math>\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}} {\partial t}</math> | <math>\oint_C \mathbf{E} \cdot \mathrm{d}\mathbf{l} = - \int_S \frac{\partial\mathbf{B}}{\partial t} \cdot \mathrm{d} \mathbf{A}</math> |
| Ampère's Law of Circulation |
<math>\nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}} {\partial t}</math> | <math>\oint_C \mathbf{H} \cdot \mathrm{d}\mathbf{l} = \int_S \mathbf{J} \cdot \mathrm{d} \mathbf{A} +
\int_S \frac{\partial\mathbf{D}}{\partial t} \cdot \mathrm{d} \mathbf{A}</math>
|
References
- ↑ Wile, Dr. Jay L. Exploring Creation With Physical Science. Apologia Educational Ministries, Inc. 1999, 2000