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The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as ... (where the wave speed is c 2 ...
The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum. It is a three-dimensional form of the wave equation. The homogeneous form of the equation, written in terms of either the electric field E or the magnetic field B, takes the form:
The speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. More simply, the speed of sound is how fast vibrations travel.
The velocity factor (VF), [1] also called wave propagation (relative) speed or (relative) velocity of propagation (VoP or ), [2] of a transmission medium is the ratio of the speed at which a wavefront (of an electromagnetic signal, a radio signal, a light pulse in an optical fibre or a change of the electrical voltage on a copper wire) passes through the medium, to the speed of light in vacuum.
The wave equation describing a standing wave field in one dimension (position ) is p x x − 1 c 2 p t t = 0 , {\displaystyle p_{xx}-{\frac {1}{c^{2}}}p_{tt}=0,} where p {\displaystyle p} is the acoustic pressure (the local deviation from the ambient pressure) and c {\displaystyle c} the speed of sound , using subscript notation for the partial ...
Signal velocity is usually equal to group velocity (the speed of a short "pulse" or of a wave-packet's middle or "envelope"). However, in a few special cases (e.g., media designed to amplify the front-most parts of a pulse and then attenuate the back section of the pulse), group velocity can exceed the speed of light in vacuum, while the signal ...
The speed at which energy or signals travel down a cable is actually the speed of the electromagnetic wave traveling along (guided by) the cable. I.e., a cable is a form of a waveguide. The propagation of the wave is affected by the interaction with the material(s) in and surrounding the cable, caused by the presence of electric charge carriers ...
The speed of propagation of a wave is equal to the wavelength divided by the period, or multiplied by the frequency: v = λ τ = λ f . {\displaystyle v={\frac {\lambda }{\tau }}=\lambda f.} If the length of the string is L {\displaystyle L} , the fundamental harmonic is the one produced by the vibration whose nodes are the two ends of the ...