Maxwell's Equations describe how electric and magnetic fields propagate and interact with each other and objects. The equations show that electromagnetic waves, including visible light, radio waves, and more consist of oscillating electric and magnetic fields. Maxwell's Equations include Gauss' Law, Gauss' Law for Magnetism, Faraday's Law of Induction, and Ampere's Law with Maxwell's addition. They relate electric and magnetic fields to their sources and explain the generation and propagation of electromagnetic waves.

1. Maxwell’s Equations
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2. Every electromagnetic form or radiation - visible
light, x-rays, sunlight that heats the earth, radio
waves, television waves, wifi signals, bluetooth
signals, cell phone transmission, and GPS all consist
solely of Electric and Magnetic Fields. And everything
you need to know about how they propagate and
interact with materials is completely determined by
Maxwell’s Equation.
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3. Maxwell’s Equations
Maxwell's Equations are a set of 4 complicated
equations that describe the world of
electromagnetics. These equations describe how
electric and magnetic field propagate, interact, and
how they are influenced by objects.
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4. Maxwell’s Equations
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5. Gauss’ Law (Point form)
Gauss' Law is the first of Maxwell's Equations which
dictates how the Electric Field behaves around
electric charges. Gauss' Law can be written in terms
of the Electric Flux Density and the Electric Charge
Density as:
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6. Gauss’ Law (Integral form)
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7. Interpretation of Gauss' Law
• Gauss' Law states that electric charge acts as
sources or sinks for Electric Fields.
• If you use the water analogy again, positive charge
gives rise to flow out of a volume - this means
positive electric charge is like a source (a faucet -
pumping water into a region). Conversely, negative
charge gives rise to flow into a volume - this means
negative charge acts like a sink (fields flow into a
region and terminate on the charge).
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8. Gauss’ Law for Magnetic Field
Gauss' Law for Electric Fields states that the
divergence of the Electric Flux Density D is equal to
the volume electric charge density. But the second
equation, Gauss' Magnetism law states that
the divergence of the Magnetic Flux Density (B) is
zero.
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9. Why? Why isn't the divergence of B equal
to the magnetic charge density?
Well - it is. But it just so happens that no one has
ever found magnetic charge - not in a laboratory or
on the street or on the subway. And therefore, until
this hypothetical magnetic charge is found, we set
the right side of Gauss' Law for Magnetic Fields to
zero.
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10. Gauss’ Law for Magnetic Field
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11. Interpretation of Gauss’ Law for
Magnetic Field
Every magnetic object is a magnetic dipole, with
a north and south pole. No matter how many times
you break the magnetic in half, it will just form more
magnetic dipoles. Gauss' Law for Magnetism states
that magnetic monopoles do not exist - or at least we
haven't found them yet.
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12. Faradays’ Law
We know that an electric current gives rise to
a magnetic field - but thanks to Faraday we
also know that a magnetic field within a loop
gives rise to an electric current.
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13. Ampere’s Law
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14. Awab Sir (www.awabsir.com) 8976104646

15. Maxwell’s Equation in Point form
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16. Awab Sir (www.awabsir.com) 8976104646

17. Maxwell’s Equation in Integral form
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18. Awab Sir (www.awabsir.com) 8976104646

19. Time Harmonic form of Maxwell’s
Equation
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20. Awab Sir (www.awabsir.com) 8976104646

21. Maxwell’s Equation with only E and H
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22. Refer
http://www.maxwells-equations.com/
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