Star Trek

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Delta Prime

Jul 29, 2020
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I’m worried
You have been here since 2014 & have contributed nothing to help others. You pretend to be necessary but serve no useful purpose so don’t be worried about something that isn’t worried about you…
You’re just an ugly giant bag of mostly water!


& one of these…
IMG_0729.jpeg
 
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Omega Supreme

Oct 9, 2014
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The term "phasor" has two distinct meanings:

the fictional directed-energy weapon from Star Trek, and the real-world electrical engineering concept used for analyzing circuits with inductance and capacitance.

Real-World Phasors in Electrical Engineering

In electrical engineering and physics, a phasor is a complex number representation of a sinusoidal function, used to simplify calculations involving alternating current (AC) circuits.
  • Phasor analysis allows engineers to use simple algebra instead of calculus to solve complex AC problems by representing quantities like voltage and current as vectors (phasors) with amplitude and phase.
  • Inductors and capacitors introduce a phase shift between the voltage and current in an AC circuit. For an inductor, the voltage leads the current by 90 degrees (+90°). For a capacitor, the voltage lags the current by 90 degrees (-90°).
    • The impedance (Z), which is the total opposition to the flow of current (including resistance, inductance, and capacitance), is calculated using phasors. For an RLC circuit, the total impedance is
      1764867990395.gif
      Z=R+jωL+1/jωC, where
      1764867990426.gif
      j is the imaginary unit,
      1764867990453.gif
      ω is the angular frequency,
      1764867990480.gif
      L is the inductance, and
      1764867990506.gif
      C is the capacitance
Star Trek Phasers
The "phaser" (an acronym for PHASed Energy Rectification) is the primary weapon of Starfleet.
  • They are directed-energy weapons capable of various settings, from "stun" to vaporize.
  • Phasers work by converting stored or supplied energy into another form for release toward a target without an intermediate energy transformation.
  • In the Star Trek universe, the technology relies on a "phaser array" composed of linear rows of individual phaser banks, whose energy combines to form a more powerful linear projection.
 
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Omega Supreme

Oct 9, 2014
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Maxwell's Equations are a set of four fundamental laws: Gauss's Law for Electricity, Gauss's Law for Magnetism, Faraday's Law of Induction, and the Ampere-Maxwell Law, which unify electricity, magnetism, and light, describing how electric and magnetic fields are generated and altered by charges and currents.
Here's a breakdown of the four laws:
  1. Gauss's Law for Electricity: Describes how electric charges create electric fields, stating that the electric flux through any closed surface is proportional to the enclosed charge.
  2. Gauss's Law for Magnetism: States that magnetic monopoles don't exist; magnetic field lines always form closed loops, meaning there's no net magnetic charge.
  3. Faraday's Law of Induction: Explains that a changing magnetic field induces an electric field (the basis for generators).
  4. Ampere-Maxwell Law: Combines Ampere's original law (currents create magnetic fields) with Maxwell's crucial addition (changing electric fields also create magnetic fields, known as displacement current), leading to the prediction of electromagnetic waves.
 

Omega Supreme

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Maxwell's equations unify light by demonstrating that light is a form of
electromagnetic wave that travels at a specific, constant speed through a vacuum, which matches the experimentally measured speed of light.
This unification stems from two key mathematical insights:
  • Self-Sustaining Fields: Maxwell's crucial addition of the "displacement current" term to Ampère's Law revealed a symmetry in nature: a changing electric field generates a magnetic field, and, conversely, a changing magnetic field (described by Faraday's Law) generates an electric field. This dynamic interplay allows electric and magnetic fields to sustain each other, creating a self-propagating wave that does not require a medium to travel.
  • Speed Calculation: When Maxwell combined the equations and derived a single wave equation for this propagating electromagnetic disturbance, the predicted speed of the wave was determined solely by fundamental electric and magnetic constants (the permittivity and permeability of free space). When he calculated this speed using the best available experimental values, the result was almost exactly the known speed of light.
This inescapable mathematical conclusion led Maxwell to propose that visible light is simply one small part of a vast electromagnetic spectrum of these waves, differing only in wavelength and frequency. This work unified the previously separate fields of electricity, magnetism, and optics into a single, comprehensive theoretical framework.
 
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