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(II) Show that the intensity of a wave is equal to the energydensity (energy per unit volume) in the wave times thewave speed.

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$\frac{\text { energy }}{\text {volume}} \times v$

Physics 101 Mechanics

Physics 102 Electricity and Magnetism

Chapter 15

Wave Motion

Periodic Motion

Mechanical Waves

Electromagnetic Waves

Simon Fraser University

Hope College

University of Sheffield

McMaster University

Lectures

03:40

In physics, electromagnetic radiation (EM radiation or EMR) refers to the waves (or their quanta, photons) of the electromagnetic field, propagating (radiating) through space, carrying electromagnetic radiant energy. It includes radio waves, microwaves, infrared, (visible) light, ultraviolet, X-rays, and gamma rays. Electromagnetic waves of different frequency are called by different names since they have different sources and effects on matter. In order of increasing frequency and decreasing wavelength these are: radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays and gamma rays.

10:59

In physics, Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits. They underpin all electric, optical and radio such electromagnetic technologies as power generation, electric motors, wireless communication, cameras, televisions, computers, and radar. Maxwell's equations describe how electric and magnetic fields are generated by charges, currents, and changes of these fields. The equations have two major variants. The microscopic Maxwell equations have universal applicability but are unwieldy for common calculations. They relate the electric and magnetic fields to total charge and total current, including the complicated charges and currents in materials at the atomic scale. The macroscopic Maxwell equations define two new auxiliary fields that describe the large-scale behaviour of matter without having to consider atomic scale details. The equations were published by Maxwell in his 1864 paper "A Dynamical Theory of the Electromagnetic Field". In the original paper Maxwell fully derived them from the Lorentz force law (without using the Lorentz transformation) and also from the conservation of energy and momentum.

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(II) Show that the intensi…

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(II) How much energy is tr…

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Illustrates that at distan…

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(11) How much energy is tr…

So this question asks us to confirm that intensity of intensity of a way equals energy density, in other words, energy per volume times the speed- and we can do- is there a couple of this? We can do the first. We can look at the units. The units pretty density is what square we can see. Energy density is integrators, this equal to joe meter cube and the speed is meter per second. So you can see that, if i'm not in transom, what ill have is what per meter square, which is the same as intensity, and now the thing we can do is that we can intensity. Definition is intensity, equals power of average power over a cross section to the surface area, and power is energy divided by time and time. We you actually, let's try a multiplying, balsage dominator is a numerator by a distance there, because the estimes thou will be supported, and what about that over t an over t is the speed. So now it becomes energy per volume times speed, just like what we're trying to find.

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