1. Electromagnetic waves satisfy Maxwell's equations in free space or perfect dielectrics. The equations show that E and H fields satisfy the wave equation and propagate as transverse waves.
2. For a uniform plane wave traveling in the x-direction, the E and H fields are perpendicular to x and to each other. The ratio of E to H is the characteristic impedance of the medium.
3. Maxwell's equations can be expressed in phasor form for sinusoidal time variations using complex notation. This leads to the wave equation for lossless and conducting media.
It covers all the Maxwell's Equation for Point form(differential form) and integral form. It also covers Gauss Law for Electric Field, Gauss law for magnetic field, Faraday's Law and Ampere Maxwell law. It also covers the reason why Gauss Laws are also known as Maxwell's Equation.
It covers all the Maxwell's Equation for Point form(differential form) and integral form. It also covers Gauss Law for Electric Field, Gauss law for magnetic field, Faraday's Law and Ampere Maxwell law. It also covers the reason why Gauss Laws are also known as Maxwell's Equation.
explains about Poyntings theorem, boundary conditions, poissons and laplace equations and uniqueness theorem and its importance in Electromagnetic theory
explains about Poyntings theorem, boundary conditions, poissons and laplace equations and uniqueness theorem and its importance in Electromagnetic theory
Describes the general solutions of Electromagnetic Maxwell Equations.
Intended or Graduate Students in Science (math, physics, engineering) with previous knowledge in electromagnetics.
Please send me comments and suggestions for improvements to solo.hermelin@gmail.com.
More presentations can be found in my website at http://www.solohermelin.com.
The Physics of electromagnetic waves, a discourse to engineering 1st years.
"Lets discover what electromagnetic phenomena are entailed by the Maxwell’s equations.
Electromagnetic Waves are a set of phenomena broadly categorized as “Gamma rays, X-rays, Ultraviolet Rays, Visible light, Infra-red Rays, Microwaves and Radio waves.
We will discuss them from the perspective of Maxwell’s equations."
Intuitive explanation of maxwell electromagnetic equationsAbdiasis Jama
user friendly explanation of maxwell equations
For complete planning and design of microwave and cellular system, get this new book from Amazon
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Momentum flux in the electromagnetic fieldSergio Prats
This article shows how to get the flux of momentum in the electromagnetic field from the Maxwell stress tensor in the scope of classical electromagnetism.
[Electricity and Magnetism] ElectrodynamicsManmohan Dash
We discussed extensively the electromagnetism course for an engineering 1st year class. This is also useful for ‘hons’ and ‘pass’ Physics students.
This was a course I delivered to engineering first years, around 9th November 2009. I added all the diagrams and many explanations only now; 21-23 Aug 2015.
Next; Lectures on ‘electromagnetic waves’ and ‘Oscillations and Waves’. You can write me at g6pontiac@gmail.com or visit my website at http://mdashf.org
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
2. Electromagnetic Waves in homogeneous medium: The following field equation must be satisfied for solution of electromagnetic problem there are three constitutional relation which determines characteristic of the medium in which the fields exist. Solution for free space condition: in particular case of e.m. phenomena in free space or in a perfect dielectric containing no charge an no conduction current Differentiating 1st
3. Also since and are independent of time Now the 1st equation becomes on differentiating it Taking curl of 2nd equation (But ) this is the law that E must obey lly for H these are wave equation so E and H satisfy wave equation.
4. For charge free region for uniform plane wave There is no component in X direction be either zero, constant in time or increasing uniformly with time .similar analysis holds for H Uniform plane electromagnetic waves are transverse and have components in E and H only in the direction perpendicular to direction of propagation Relation between E and H in a uniform plane wave: For a plane uniform wave travelling in x direction a)E and H are both independent of y and z b)E and H have no x component From Maxwell’s 1st equation From Maxwell’s 2nd equation
5. Comparing y and z terms from the above equations on solving finally we get lly Since The ratio has the dimension of impedance or ohms , called characteristic impedance or intrinsic impedance of the (non conducting) medium. For space
6. The relativeorientation of E and H may be determined by taking their dot product and using above relation In a uniform plane wave ,E and H are at right angles to each other. electric field vector crossed into the magnetic field vector gives the direction in which the wave travels.
7. The wave equation for conducting medium: From Maxwell’s equation if the medium has conductivity Taking curl of 2nd eq. ( ) For any homogeneous medium in which is constant But there is no net charge within a conductor Hence wave equation for E. lly , wave equation for H. Sinusoidal time variations: where is the frequency of variation. time factor may be suppressed through the use phasor notation. Time varying field may be expressed in terms of corresponding phasor quan -tity
8. as Phasor is defined by real Phase is determined by of the complex number ,time varying field quantity may be expressed as Maxwell’s equation in phasor form: for sinusoidal steady state we may substitute the phasor relation as Imaginary axis Real axis
9. which is the differential equation in phasor form. Observation point: Time varying quantity is replaced by phasor quantity Time derivative is replaced with a factor Maxwell’s equation becomes The above equations contain the equation of continuity The constitutive relation retain their forms For sinusoidal time variations the wave equation for electric field in lossless medium
10. becomes In a conducting medium the wave equation becomes Wave propagation in lossless medium: For uniform plane wave there is no variation w.r.t. Y or Z. For Ey component solution may be written as The time varying field is real
11. When c1 and c2 are real, if c1 = c2 the two travelling waves combine to form standing wave which does not progress. Wave velocity: if velocity is given by or phase –shift constant. From fig. Again