Author Archives: Bob Johnson - Jim Johnson

Appendix I – Vector Algebra

Examples of dot products at different angles

Vector algebra is formulated to handle vectors; i.e., quantities with both magnitude and direction. Normal algebra, geometry and trigonometry are efficient at dealing with scalar quantities, that is, those with only magnitude, but are inefficient at handling vectors.  Vector algebra … Continue reading

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Essential Guide to the EU – Chapter 11
Radiation

Image of the Sun as it would look in the radio portion of the spectrum at a frequency of 1.4 gigaHertz.  The Sun emits much more energy at higher frequencies such as visible and ultraviolet and X-ray light. Image courtesy the Very Large Array, National Radio Astronomy Observatory

11.1  Light Visible light ranges from red through yellow and green to blue and violet. Newton was the first to discover that white light is a mixture of all the colors. White light can be split into its component colors … Continue reading

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Essential Guide to the EU – Chapter 10
Rotational Effects

courtesy, Chandra X-ray telescope, one of NASA's Great Observatories

10.1  Rotation and Faraday Motors One of the reasons for the assumption of large amounts of Cryogenic (or Cold) Dark Matter (CDM) in the Gravity Model is to explain the observed rotation of galaxies. Astronomers have found that the individual … Continue reading

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Essential Guide to the EU – Chapter 9
Plasma Circuit Instabilities

Photo of experimental plasma lab instability: "Kink occurs when the central column becomes sufficiently long to satisfy instability condition", from the presentation, "Simulating Astrophysical Jets in the Laboratory"  Courtesy Prof. Paul Bellan, KTTP & Caltech

9.1  Exploding Double Layers The inductive energy of a circuit is a function of the current and the inductance. If any inductive circuit is disrupted, for example, by opening a switch, then the inductive energy of the circuit will be … Continue reading

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Essential Guide to the EU – Chapter 8
Current Sheets, Perpendicular Currents and Electric Circuits

Van Allen belts

8.1  Plasma Current Sheets Reference has already been made to the filamentation of current sheets. This section will explore the nature of current sheets and their relationship to the magnetic field. A current sheet is exactly what it says – … Continue reading

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Essential Guide to the EU – Chapter 7
Birkeland Currents, Magnetic Ropes and Current-Carrying Double Layers

Flux ropes fr ApJ

7.1 Birkeland Currents There is another cause of filamentation of currents in plasma. This is due to the fact that there is a force of attraction between any two parallel currents. Each current generates a magnetic field which circles the … Continue reading

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Essential Guide to the EU – Chapter 6
Currents, Filaments and Pinches

Marklund convection and sorting in a magnetically pinched current.  Image courtesy of Wal Thornhill, www.holoscience.com

6.1  Thermal Motion and Current It is important to distinguish between random thermal motion and uniform linear motion in a plasma. The latter is an electric current which flows due to the presence of an electric field. The random thermal … Continue reading

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Essential Guide to the EU – Chapter 5
Plasma Sheaths, Cells, and Current-Free Double Layers

Image adapted from above sources to illustrate charge relationships and electric field potential in a DL - J. Johnson, 2011

5.1  Plasma Temperature and Potential We have seen that temperature is a measure of the thermal energy of the particles in matter. More specifically, temperature is a measure of the kinetic energy of the particles’ random thermal motion. An electron … Continue reading

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Essential Guide to the EU – Chapter 4
Electromagnetism

field-aligned relativistic electron producing X-ray wavelength synchrotron radiation

4.1  The Electromagnetic Field Equation Science attempts to explain physical systems in terms of mathematical models which describe and predict the behavior of the system. For example, Kepler explained the movement of the planets with his three laws. In the … Continue reading

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Essential Guide to the EU – Chapter 3
Plasma

Four states or phases of matter , and the transitions between them.  Note the similarity to the early Greek "primary elements" of Earth, water, air and fire.  It is clear that plasma is the state with the highest energy content. Open question: from where in space does this energy come?  Image credit:  Wikimedia Commons

3.1  Introducing Plasma It is known that space is filled with plasma. In fact, plasma is the most common type of matter in the universe. It is found in a wide range of places from fire, neon lights, and lightning … Continue reading

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