Energy Transportation
Waves transfer energy which can be used to do work.
Learning Objective

Relate direction of energy and wave transportation
Key Points
 Waves which are more massive transfer more energy.
 Waves with greater velocities transfer more energy.
 Energy of a wave is transported in the direction of the waves transportation.
Terms

work
A measure of energy expended in moving an object; most commonly, force times displacement. No work is done if the object does not move.

energy
A quantity that denotes the ability to do work and is measured in a unit dimensioned in mass × distance²/time² (ML²/T²) or the equivalent.

power
A measure of the rate of doing work or transferring energy.
Example
Full Text
Energy transportion is essential to waves. It is a common misconception that waves move mass. Waves carry energy along an axis defined to be the direction of propagation. One easy example is to imagine that you are standing in the surf and you are hit by a significantly large wave, and once you are hit you are displaced (unless you hold firmly to your ground!). In this sense the wave has done work (it applied a force over a distance). Since work is done over time, the energy carried by a wave can be used to generate power.
Water Wave
Waves that are more massive or have a greater velocity transport more energy.
Similarly we find that electromagnetic waves carry energy. Electromagnetic radiation (EMR) carries energy—sometimes called radiant energy—through space continuously away from the source (this is not true of the nearfield part of the EM field). Electromagnetic waves can be imagined as a selfpropagating transverse oscillating wave of electric and magnetic fields . EMR also carries both momentum and angular momentum. These properties may all be imparted to matter with which it interacts (through work). EMR is produced from other types of energy when created, and it is converted to other types of energy when it is destroyed. The photon is the quantum of the electromagnetic interaction, and is the basic "unit" or constituent of all forms of EMR. The quantum nature of light becomes more apparent at high frequencies (or high photon energy). Such photons behave more like particles than lowerfrequency photons do.
Electromagnetic Wave
Electromagnetic waves can be imagined as a selfpropagating transverse oscillating wave of electric and magnetic fields. This 3D diagram shows a plane linearly polarized wave propagating from left to right.
In general, there is a relation of waves which states that the velocity (
We also know that classical momentum
EM waves with higher frequencies carry more energy. This is a direct result of the equations above. Since
Key Term Reference
 Radiation
 Appears in these related concepts: B.1 Chapter 1, Atomic Structure, and Time
 angular
 Appears in these related concepts: Bohr Orbits, TwoComponent Forces, and Constant Angular Acceleration
 angular momentum
 Appears in these related concepts: Quantum Numbers, Angular Quantities as Vectors, and Conservation of Angular Momentum
 axis
 Appears in these related concepts: Area Between Curves, Regional Terms and Axes, and Components of a Vector
 direction of propagation
 Appears in these related concepts: Longitudinal Waves, Transverse Waves, and B.2 Chapter 2
 electromagnetic radiation
 Appears in these related concepts: Other Forms of Energy, Gamma Decay, and Planck's Quantum Theory
 electromagnetic wave
 Appears in these related concepts: Scattering of Light by the Atmosphere, The Production of Electromagnetic Waves, and FourVectors
 equation
 Appears in these related concepts: Equations and Inequalities, Graphs of Equations as Graphs of Solutions, and What is an Equation?
 force
 Appears in these related concepts: Force of Muscle Contraction, Force, and First Condition
 frequency
 Appears in these related concepts: Frequency of Sound Waves, Characteristics of Sound, and Sound
 magnetic field
 Appears in these related concepts: Maxwell's Predictions and Hertz' Confirmation, Magnetic Force Between Two Parallel Conductors, and Ampere's Law: Magnetic Field Due to a Long Straight Wire
 mass
 Appears in these related concepts: Mass Spectrometer, Pop Art, and Mass
 matter
 Appears in these related concepts: Physical and Chemical Properties of Matter, Introduction: Physics and Matter, and The Study of Chemistry
 momentum
 Appears in these related concepts: Inelastic Collisions in Multiple Dimensions, The Second Law: Force and Acceleration, and Differentiation and Rates of Change in the Natural and Social Sciences
 oscillating
 Appears in these related concepts: Wavelength, Freqency in Relation to Speed, Damped Harmonic Motion, and Elastic Potential Energy
 photon
 Appears in these related concepts: Electromagnetic Spectrum, Fluorescence and Phosphorescence, and XRays and the Compton Effect
 speed of light
 Appears in these related concepts: Relativistic Addition of Velocities, Length Contraction, and Time Dilation
 transverse
 Appears in these related concepts: Water Waves, The Heisenberg Uncertainty Principle, and The Hall Effect
 velocity
 Appears in these related concepts: Velocity of Blood Flow, RootMeanSquare Speed, and Rolling Without Slipping
 wave
 Appears in these related concepts: Properties of Waves and Light, Waves, and B.11 Chapter 11
 wavelength
 Appears in these related concepts: Energy and Momentum, Introduction to Light Energy, and Light
Sources
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