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- Frequently Used Equations
Frequently used equations in physics. Appropriate for...
- Frequently Used Equations
The sound intensity level \(\beta\) of a sound, measured in decibels, having an intensity I in watts per meter squared, is defined as \[\beta (dB) = \log_{10} \left(\dfrac{I}{I_{0}}\right), \label{17.12}\]
Equation \ref{16.6} is the linear wave equation, which is one of the most important equations in physics and engineering. We derived it here for a transverse wave, but it is equally important when investigating longitudinal waves.
The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves (e.g. water waves, sound waves and seismic waves) or electromagnetic waves (including light waves). It arises in fields like acoustics, electromagnetism, and fluid dynamics.
1 Harmonic Oscillation 1 Preview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 The Harmonic Oscillator ...
The wavefunction of a light wave is given by E (x, t), and its energy density is given by | E | 2, where E is the electric field strength. The energy of an individual photon depends only on the frequency of light, ϵphoton = hf, so | E | 2 is proportional to the number of photons.
The wave equation, 0 = ψ: = − 1 v2 ∂2ψ ∂t2 + ∇2ψ, is a partial differential equation that implicates four independent variables, the three spatial variables x, y, z, and the time variable t. The dependent variable ψ is the wave function, and v is the speed at which the wave travels.
