Deriving Gauss's law from Coulomb's law

                                                          


                                                      Deriving Gauss's law from Coulomb's law
Gauss's law can be derived from Coulomb's law, which states that the electric field due to a stationary point charge is:

HOW TO DERIVING COULOMB'S LAW FROM GAUSS'S LAW

                                      

                      

 Deriving Coulomb's law from Gauss's law

Strictly speaking, Coulomb's law cannot be derived from Gauss's law alone, since Gauss's law does not give any information regarding the curl of E (see Helmholtz decomposition and Faraday's law). However, Coulomb's law can be proven from Gauss's law if it is assumed, in addition, that the electric field from a point charge is spherically-symmetric (this assumption, like Coulomb's law itself, is exactly true if the charge is stationary, and approximately true if the charge is in motion).

How to Video: Playing With Fire Aboard the International Space Station

   

FLEX, Burning a Fuel Droplet Aboard the ISS NASA/GRC via SPACE

WHAT YOU MEAN BY The Interior of the Earth ?

                    

The Interior of the Earth

We know little directly about the interior of the Earth. Most of our information in that regard has come from seismic waves

, which are vibrations in the body of the Earth

                      

                          Seismic Waves

             There are two general categories of seismic waves.

  

1. P-waves, which are longitudinal pressure waves and can propagate in both solids and liquids.
2. S-waves, which are transverse waves that can propagate in solids but not in liquids

HOW TO NAMING THE STARS

                HOW TO NAMING THE STARS

                                                                                                                        Common Names

Most of the brighter stars in the sky have common names that are of historical and mythological significance. For example, the bright red star in the shoulder region of the constellation Orion (the Hunter) is called Betelgeuse, which comes from Arabic and means (roughly) "the armpit of the mighty one" (see adjacent figure). The brightest star in Orion is a blue-white star called Rigel that is situated at the opposite corner of the constellation from Betelgeuse (adjacent figure).As another example, the brightest star in the constellation Cygnus (the Swan) is situated near the aft portion of the beast and is called Deneb, which is also Arabic in origin and means "the tail of the hen".

Galileo vs. Aristotle

                    Galileo vs. Aristotle

Thus, Aristotle believed that the laws governing the motion of the heavens were a different set of laws than those that governed motion on the earth. As we have seen, Galileo's concept of inertia was quite contrary to Aristotle's ideas of motion: in Galileo's dynamics the arrow (with very small frictional forces) continued to fly through the air because of the law of inertia, while a block of wood on a table stopped sliding once the applied force was removed because of frictional forces that Aristotle had failed to analyze correctly.In addition, Galileo's extensive telescopic observations of the heavens made it more and more plausible that they were not made from a perfect, unchanging substance. In particular, Galileo's observational confirmation of the Copernican hypothesis suggested that the Earth was just another planet, so maybe it was made from the same material as the other planets.
Thus, the groundwork was laid by Galileo (and to a lesser extent by others like Kepler and Copernicus) to overthrow the physics of Aristotle, in addition to his astronomy. It fell to Isaac Newton to bring these threads together and to demonstrate that the laws that governed the heavens were the same laws that governed motion on the surface of the Earth.

What is the Newton's Three Laws of Motion

                   HAI TODAY IM COMING WITH  A LAW

THE THREE LAW OF  NEWTON`S 

Newton's First Law of Motion

Newton's Second Law of Motion

Newton's Third Law of Motion

Let us begin our explanation of how Newton changed our understanding of the Universe by enumerating his Three Laws of Motion.

WHAT IS THE GAUSS'S LAW

THIS LAW STATE  THAT

The electric flux through any closed surface is proportional to the enclosed electric charge.

WHAT IS THE COULOMB'S LAW

THE COULOMB'S LAW IS Between 1785 and 1787, the French physicist Charles Augustine de Coulomb performed a series of experiments involving electric charges, and eventually established what is nowadays known as Coulomb's law. According to this law, the force acting between two electric charges is radial, inverse-square, and proportional to the product of the charges. Two like charges repel one another, whereas two unlike charges attract. Suppose that two charges,  and , are located at position vectors  and . The electrical force acting on the second charge is written 

in vector notation . An equal and opposite force acts on the first charge, in accordance with Newton's third law of motion. The SI unit of electric charge is the coulomb (C). The magnitude of the charge on an electron is  C. The universal constant  is called the permittivity of free space, and takes the value 

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THE BASE UNITS IN SI

The International System of Units (SI) defines seven units of measure as a basic set from which all other SI units are derived. These SI base units and their 

• metre for length 
• kilogram for mass (note: not the gram)
• second for time
• ampere for electric current
• kelvin for temperature
• candela for luminous intensity
• mole for the amount of substance