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Carl friedrich gauss research
Carl friedrich gauss research
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Abendanio, Carlo C. BSIT-2B
GAUSS’S LAW There is an important relation in electricity, that is Gauss’s Law. The Gauss' law is a method widely used in electrical applications to calculate electric fields from symmetrically charged objects, it is developed by Mr. Carl Friedrich Gauss, a German mathematician and physicist. I had watched a lecture video about Gauss’s law. This law states that the electric flux through a closed surface is proportional to the charge contained inside the surface. When the electric field, because of its symmetry, is constant everywhere on that surface and perpendicular to it, the exact electric field can be found. In such special cases, Gauss’s law is easier to apply than Coulomb’s law. Gauss’s law involves the concept of electric flux, a measure of how much the electric field vectors penetrate through a given surface. Gauss's law has a close mathematical similarity with a number of laws in other areas of physics, such as Gauss's law for magnetism and Gauss's law for gravity. In fact, any "inverse-square law" can be formulated in a way
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A test charge with twice the quantity of charge would possess twice the potential energy at a given location; yet its electric potential at that location would be the same as any other test charge. A positive test charge would be at a high electric potential when held close to a positive source charge and at a lower electric potential when held further away. In this sense, electric potential becomes simply a property of the location within an electric field. Although the concept of electric potential is useful in understanding electrical phenomena, only differences in potential energy are measurable. If an electric field is defined as the force per unit charge, then by analogy an electric potential can be thought of as the potential energy per unit
Therefore any changes in the cell are ascribable to the working electrode. The control of potential of working electrode with respect to reference electrode is equivalent of the controlling of energy of electrons within the working electrode. As shown in Fig. 1.3, scanning the potential in the negative direction makes the electrode a stronger reductant, whereas scanning the potential in the positive direction makes it a better
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
Euclidean Geometry has been around for over thousands of years, and is studied the most in high school as well as college courses. In it's simplest form, Euclidean geometry, is concerned with problems such as determining the areas and diameters of two-dimensional figures and the surface areas and volumes of solids. Euclidean Geometry is based off of the parallel postulate, Postulate V in Euclid's elements, which states that, "If a straight line meets two other straight lines so as to make the two interior angles on one side of it together less than two right angles, the other straight lines, if extended indefinitely, will meet on that side on which the angles are less than two right angles."
In the article,"Energy Story", it tells you all about basic energy and how scientists found out how it works. It tells you about each part of an electron and what part is what. The center is called the Nucleus. Electrons and atoms move together to create what is known as electricity. Atoms and electrons flow through an object
Electromagnetism has a history that dates back over 200 years. The year 1700 was the first demonstration of an electromagnet, yet scientists didn't know much about electromagnetism (Bellis 1). In 1820, scientists had just started to get deep into electromagnets, Hans Oersted discovered that a conductor carrying an electric current was surrounded by a magnetic field (Bellis 2). Hans Oersted discovered this because his compass reacted to a battery when he connected them using wires. That is a big breakthrough because they can now make hypotheses about why the wire with current makes a magnetic field to rearrange the compass direction. In 1873, James Maxwell observed the interaction between positive and negative electrical charges (Brian, Looper 2000). Ben Franklin was the person to figure out that there is a positive and negative charge (Bellis 1). Electromagnetism is the branch of physics that studies the relationship between electricity and magnetism. Without magnetism, electricity couldn't exist, without electricity, magnetism couldn't exist.
William Gilbert, an English physicist and philosopher, proposed in 1600 that electricity and magnetism were two separate entities. However, during the beginning of the early 19th century, many discoveries were made that suggested to the contrary; experimental data implied a connection between the electric and magnetic fields. Ampere, Faraday, Gauss and others had all published works that had captured the phenomenon of electricity and magnetism. In 1826, Andre-Marie Ampere observed that two parallel wires carrying electric currents would attract each or repel each other, depending on the direction of the current. In 1821, Michael Faraday devised the concept of electric and magnetic fields. He also discovered electromagnetic induction: a potential difference would be generated in a conductor when exposed to a varying magnetic field. In 1835, Carl Gauss related the electric charge to the electric field. Despite these advancements, the information known about electricity and magnetism existed in fragments. There lacked an actual theory to unify the electric and magnetic fields until ...
Law of Continuity: holds that points that are connected by straight or curving lines are seen in a way that follows the smoothest path rather than seeing separate lines and angles.
The definition of Electromotive force is the electric potential generated by an electrochemical cell or a changing magnetic field. Electromotive force is also known by the acronym emf, EMF, a cursive letter E or the SI unit that is used for electromotive force, volts. (http://chemistry.about.com/od/chemistryglossary/g/Electromotive-Force-Definition.htm)
This second law of motion is so indescribably helpful in making leaps in physics and it is one of the main formulas used in physics. And finally Newton third law of motion states that,
Carl Friedrich Gauss is revered as a very important man in the world of mathematicians. The discoveries he completed while he was alive contributed to many areas of mathematics like geometry, statistics, number theory, statistics, and more. Gauss was an extremely brilliant mathematician and that is precisely why he is remembered all through today. Although Gauss left many contributions in each of the aforementioned fields, two of his discoveries in the fields of mathematics and astronomy seem to have had the most tremendous effect on modern day mathematics.
Faraday continued his electrical experiments. In 1832, he proved that the electricity induced from a magnet, voltaic electricity produced by a battery, and static electricity was all the same. He also did significant work in electrochemistry, stating the First and Second Laws of Electrolysis. This laid the basis for electrochemistry, another great modern industry.
Consider a material, either a semiconductor or conductor as shown in the below figure. When voltage is applied, electric current starts flowing in the positive x direction (from left to right). If a magnetic field is applied to this current carrying conductor in a direction perpendicular to that of the flow of current (that is z direction), an electric field is produced in the conductor that exerts force in the negative y direction (downwards).
Besides providing attributes such as the Fundamental Theorem of Algebra to mathematics Gauss also contributed to the developmental principle of the Conservation of Energy, discovered Ceres, an asteroid orbiting around the sun and presented the Method of Least Squares, which is a method used in all sciences to minimise the impact of measurement error. Without these contributions both mathematicians and scientists would not have the knowledge and equipment to continue to further these issues.
Electric currents produce magnetic fields, they can be as small as macroscopic currents in wires, or microscopic currents in atomic orbits caused by electrons. The magnetic field B is described in terms of force on a moving charge in the Lorentz force law. The relationship of magnetic field and charges leads to many practical applications. Magnetic field sources are dipolar in nature, with a north and south magnetic pole. The magnetic field SI unit is the Tesla, it can be seen in the magnetic part of the Lorentz force law F magnetic = qvB composed of (Newton x second)/(Coulomb x meter). The smaller magnetic field unit is the
Euclid, also known as Euclid of Alexandria, lived from 323-283 BC. He was a famous Greek mathematician, often referred to as the ‘Father of Geometry”. The dates of his existence were so long ago that the date and place of Euclid’s birth and the date and circumstances of his death are unknown, and only is roughly estimated in proximity to figures mentioned in references around the world. Alexandria was a broad teacher that taught lessons across the world. He taught at Alexandria in Egypt. Euclid’s most well-known work is his treatise on geometry: The Elements. His Elements is one of the most influential works in the history of mathematics, serving as the source textbook for teaching mathematics on different grade levels. His geometry work was used especially from the time of publication until the late 19th and early 20th century Euclid reasoned the principles of what is now called Euclidean geometry, which came from a small set of axioms on the Elements. Euclid was also famous for writing books using the topic on perspective, conic sections, spherical geometry, number theory, and rigor.