## Questions and Answers

What is the purpose of Maxwell's equations?

To describe how electric fields can create magnetic fields and vice versa

What does Gauss's Law for Electric Fields state?

The integral of the outgoing electric field over an area is equal to the charge enclosed

According to the text, who had a profound intuition that contributed to the development of Maxwell's equations?

Michael Faraday

What does Faraday's Law of induction state?

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What is the symmetric formulation of Ampere's Law?

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What is the term added by Maxwell to describe the varying electric and magnetic fields?

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What are Maxwell's equations the foundation of?

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What are electromagnetic waves?

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What can electromagnetic waves exert forces on?

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What is the speed of electromagnetic waves derived from?

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What law have Maxwell's equations been derived from?

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What does the Lorentz force law state?

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What is the exciting realization regarding the speed of the EM wave?

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What is the term used to describe the forces exerted by electromagnetic waves on charges?

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What is the term used to describe the forces exerted by electromagnetic waves on charges?

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What is the term used to describe the forces exerted by electromagnetic waves on charges?

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## Study Notes

Maxwell's equations are a set of four equations that form the foundation of classical electromagnetism, which is the theory that unite electricity and magnetism Maxwell's equations describe how electric fields can create magnetic fields and vice versa They were the mathematical distillation of decades of experimental observations of the electric and magnetic fields, aswell as the profound intuition of Michael Faraday

The four equations are:

- Gauss's Law for Electric Fields: This equation states that the integral of the outgoing electric field over an area is equal to the charge enclosed
- Gauss's Law for magnetism: This equation states that the integral of the magnetic flux density over a closed surface is always equal to the magnetic flux enclosed
- Faraday's Law of induction: This equation states that a change in magnetic field induction will produce an electromagnetic field
- Ampere's Law in a symmetric formulation: This equation states that the magnetic field is produced by electric currents and by the displacement current, which is a term added by Maxwell to describe the varying electric and magnetic fields

Maxwell's equations have been the foundation of modern communication and electrical technologies, such as classical electric circuits and classical optics They have also been the foundation for the prediction and observations of electromagnetic waves, which are waves of electric and magnetic energy These waves can exert forces on charges at great distances from their source, and they might thus be detectable

Maxwell's equations have been derived from the Lorentz force law, which states that the force on a charge is equal to the charge's velocity, the electric field, and the magnetic field By using these equations, the speed of electromagnetic waves can be derived, and the exciting realization is that the speed of the EM wave matches the speed of light

Maxwell's equations have been the foundation of modern communication and electrical technologies, such as classical electric circuits and classical optics They have also been the foundation for the prediction and observations of electromagnetic waves, which are waves of electric and magnetic energy These waves can exert forces on charges at great distances from their source, and they might thus be detectable

Maxwell's equations have been the foundation of modern communication and electrical technologies, such as classical electric circuits and classical optics They have also been the foundation for the prediction and observations of electromagnetic waves, which are waves of electric and magnetic energy These waves can exert forces on charges at great distances from their source, and they might thus be detectable

Maxwell's equations have been the foundation of modern communication and electrical technologies, such as classical electric circuits and classical optics They have also been the foundation for the prediction and observations of electromagnetic waves, which are waves of electric and magnetic energy

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