Author: Tru Physics
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Fermi-Dirac Distribution
Introduction The Fermi-Dirac distribution is a statistical distribution that describes the probability of a particle being in a particular quantum state in a system of many identical particles that obey the Pauli exclusion principle. This principle is applicable to fermions, particles with half-integer spin such as electrons, protons, and neutrons. Fermi-Dirac Distribution Function The Fermi-Dirac…
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Exoplanets
Introduction Exoplanets, or extrasolar planets, are planets that orbit stars outside of our own Solar System. The study of exoplanets has become a significant part of astronomical research since the first confirmed detection in 1992. Detection Methods Several methods exist for detecting exoplanets, each with their strengths and weaknesses. Transit Method The transit method involves…
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Euler-Lagrange Equation
Introduction The Euler-Lagrange equation is a fundamental equation in the calculus of variations, which seeks to find the function that minimizes a certain functional. A common application of this principle in physics is found in the formulation of Lagrangian mechanics, where the functional to be minimized is the action. The Equation The Euler-Lagrange equation is…
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Escape Velocity
Introduction Escape velocity is the minimum speed an object must have in order to escape the gravitational pull of a planet or other body without further propulsion. Essentially, it is the speed needed to break free from the gravitational field of a massive body. Calculation The escape velocity () from the surface of a spherical…
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Equilibrium
Introduction Equilibrium is a central concept in physics and chemistry, referring to the state of a system in which all competing influences are balanced. In a state of equilibrium, a system experiences no net change and appears to be static. However, this does not mean that nothing is happening, just that the various forces or…
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Entropy
Introduction Entropy is a fundamental concept in thermodynamics, often interpreted as a measure of disorder in a system. It is a state function that describes the number of microscopic configurations (microstates) that a thermodynamic system can have when in a state of thermodynamic equilibrium. Definition Entropy () is defined for an isolated system in the…
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Energy Bands
Introduction In solid state physics, energy bands are ranges of energy that an electron within a solid may have and are based on the energies of atomic orbitals. The concept of energy bands and band gaps is a central concept that helps explain the electronic properties of solids, such as conductors, insulators, and semiconductors. Atomic…
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Electromagnetic Waves
Introduction Electromagnetic waves are waves of electric and magnetic fields that propagate through space carrying electromagnetic energy. They are solutions to Maxwell’s equations and encompass a wide range of phenomena including radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. Maxwell’s Equations Maxwell’s equations describe the behavior of both the electric and magnetic…
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Electromagnetic Spectrum
Introduction The electromagnetic spectrum encompasses all types of electromagnetic radiation, ordered by frequency and wavelength. From lowest frequency (longest wavelength) to highest frequency (shortest wavelength), the spectrum includes radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. Wave Properties The basic properties of electromagnetic waves can be described by the wave equation and…
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Electromagnetic Pulse (EMP)
Introduction An Electromagnetic Pulse (EMP) is an intense burst of electromagnetic energy that can disrupt or even destroy electronic devices over a large area. EMPs can be generated by a variety of natural and man-made sources, including lightning, nuclear explosions, and specially designed electronic devices. Types of EMPs EMPs can be categorized into three types,…