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Two waves traveling along a stretched string have the same frequency, but one transports 2.5 times the power of the other. What is the ratio of the amplitudes of the two waves?
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Physics 101 Mechanics
Physics 102 Electricity and Magnetism
Chapter 15
Wave Motion
Periodic Motion
Mechanical Waves
Electromagnetic Waves
Cornell University
Rutgers, The State University of New Jersey
Hope College
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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is this question. We have two waves that travel or learns the same string that they have the same frequency but one transport 2.5 times the power of the other. And we want to find the ratio of the empty, too. So, uh, we know that that's the intensity of the wave is proportional to the power. So power equals intensity times surface area. So but then we know that intensity is proportional to the inverse square off the aptitude. So from these, we can tell that the empty tubes a one over a two are actually let's assume a tree to be the larger one. So a two over a one equals the square root off peach, you overpay one, which is the square root of 2.5, and that is 1.6.
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