Write Maxwell's first equation. Explain the Pointing vector. Explain Brewster's law. Define reflection and refraction coefficients. What do you mean by dispersion? Explain the abso... Write Maxwell's first equation. Explain the Pointing vector. Explain Brewster's law. Define reflection and refraction coefficients. What do you mean by dispersion? Explain the absorption band. Define a tensor. Define four velocity. Explain the invariance of charge. Define four current density. Prove the nature of electromagnetic wave is transverse. Show the law of conservation of energy for electromagnetic fields in non-conducting medium. Find Brewster's angles for air-glass interface and glass-air interface. Explain total internal reflection.
Understand the Problem
The document appears to be an exam paper for a course in Electrodynamics. It includes instructions for answering the questions and lists various topics such as Maxell's equations, reflection and refraction, and Brewster's law.
Answer
Maxwell's first equation: ∮E⋅dA = Q/ε₀. Poynting vector: directional energy flux (S = E × H). Brewster's Law: tan θB = n₂/n₁.
- Maxwell's first equation in integral form is ∮E⋅dA = Q/ε₀.
- The Poynting vector (S = E × H) represents the directional energy flux of an electromagnetic field.
- Brewster's Law states tan θB = n₂/n₁, where θB is Brewster's angle.
- Reflection coefficient: ratio of reflected wave amplitude. Refraction coefficient: ratio of transmitted wave amplitude.
- Dispersion is the dependence of wave velocity on frequency.
- An absorption band is a range of wavelengths absorbed by a material.
- A tensor is a mathematical object that generalizes scalars, vectors, and matrices.
- Four velocity is a four-vector used in relativity, representing an object's velocity in spacetime.
- Charge invariance means charge is conserved and independent of reference frame.
- Four current density is a four-vector combining current density and charge density.
Answer for screen readers
- Maxwell's first equation in integral form is ∮E⋅dA = Q/ε₀.
- The Poynting vector (S = E × H) represents the directional energy flux of an electromagnetic field.
- Brewster's Law states tan θB = n₂/n₁, where θB is Brewster's angle.
- Reflection coefficient: ratio of reflected wave amplitude. Refraction coefficient: ratio of transmitted wave amplitude.
- Dispersion is the dependence of wave velocity on frequency.
- An absorption band is a range of wavelengths absorbed by a material.
- A tensor is a mathematical object that generalizes scalars, vectors, and matrices.
- Four velocity is a four-vector used in relativity, representing an object's velocity in spacetime.
- Charge invariance means charge is conserved and independent of reference frame.
- Four current density is a four-vector combining current density and charge density.
More Information
Maxwell's equations unify electricity and magnetism, central to electromagnetism theory. Brewster's angle is critical in optics, minimizing reflection. The Poynting vector shows power flow in fields.
Sources
- Maxwell's equations - Wikipedia - en.wikipedia.org
- A Plain Explanation of Maxwell's Equations - Fosco Connect - fiberoptics4sale.com
- Maxwell's 4 Equations And Their Derivations - BYJU'S - byjus.com
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