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ELECTROMAGNETIC THEORY

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Lecture notes of 8 pages for the course 15EE205 at IIT KANPUR (Basics of EMT)

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Voorbeeld van de inhoud

Introduction to EMT
Electromagnetic theory

Electromagnetics is the study of interaction of fields that are generated by time varying charge
distributions and currents. If you complete this course successfully, this is the foundational
course for your advanced courses such as microwaves, radars, antenna integrated optics and
fibre optics. So without further ado, let us just warm up electromagnetics theory. The length of
the wire and the frequency of the source do not matter in circuit model of this physical scenario.
Circuit theory does not consider these issues, so we need to know something else beyond
circuit theory to answer questions of the charging process, the shape of the current wave
formed, and for how long that charging current would flow. Circuit theory is not actually
developed from circuit theory in circuit theory; if you remember, we just are given that we have
an inductor, we have a capacitor, and a resistor, and we are not told how we exactly calculate
these things right. So what is inductance and how do we calculate it requires us to go beyond
circuit paradigm to really answer these questions? Now let us do this exercise.
A long wire actually causes delay and voltage and currents are not really the scalar variables
that we have thought so far but there are other waves and a wave that would have experienced a
certain time delay of l by v when it propagates with the phase velocity of v. A capacitor which
again comes back to the same question just what is capacitance and how do we calculate it.
There is a certain time delay whenever you have a wire that is connecting two circuit elements
and this delay can be ignored in the circuit region because of the various reasons. This delay is
not predicted by the circuits whereas electromagnetic theory will incorporate this delay so we
have to consider the time delay. At very high frequencies wires start acting like transmission
lines where the phase difference or the phase shift between at the source end to the voltage at
the load end becomes an appreciable fraction of 360 degrees. The space between these two
which is connected by a piece of metal or a wire and on the left side these are known as
interconnects as transmission lines. The voltage because of the same source will not be the
same at one logic gate compared to the voltage at the other logic gate therefore this might lead
to inconsistent result and completely inaccurate results.

, A wire is not just a wire. It exhibits secondary effects such as inductance, capacitance, and
resistance. Electromagnetic theory tells us how voltage is related to the electric field and current
is related to magnetic field. These relationships in turn give us relation for a resistor, inductor,
and capacitor. Electomagnetics opens up a wide array of topics that one can specialize in, such
as applications of electromagnetic in various fields such as radio astronomy and radio
astronomy.
A good knowledge of electromagnetics will take you far and wide in to different areas of
electrical engineering. The course plan goes something like this: The course plan actually starts
with static electric and magnetic fields where we briefly discuss Coulomb gauss and Ampere.
We also discuss how to calculate capacitance and inductance. Electrodynamics will be studying
Faraday's law and complete the electromagnetic model by look at Maxwell's contribution which
is called displacement current. We will start by looking at simplest solutions of Maxwell's
equations which are plain electromagnetic waves. We will then look at what happens if light or
electromagnetic wave approaches a boundary when you have something approaching a
boundary what happens to the electromagnetic field so that is something that we are going to
look at. The field just penetrates the boundary or comes back from the boundary if it comes
back how much it is coming back if it penetrates how much of it is penetrating. I am going to
follow Sixth Edition because that is what I have it with me. We will also use couple of other
books for references. One of them is called Electromagnetics with Applications by Kraus and
Fleisch and Electromagnetic Waves by Staelin.


Coulomb's law

Coulomb's Law and Coordinate Systems

In electromagnetic theory, Coulomb's law is a fundamental concept. It was first published by the
French engineer Charles Coulomb and states that the force on the second charge is equal to
1/4πε0q1q2 / r2 ar. Here, ar is a unit vector along the line directed from charge q1 to q2.


● Charge comes in two flavors: positive and negative, which are the only two types of
charge that exist.

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Geüpload op
3 mei 2023
Aantal pagina's
8
Geschreven in
2022/2023
Type
College aantekeningen
Docent(en)
Subramaniyam
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