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A sinusoidal traveling wave has frequency 880 $\mathrm{Hz}$ and phase velocity 440 $\mathrm{m} / \mathrm{s}$ . (a) At a given time, find the distance between any two locations that correspond to a difference in phase of $\pi / 6$ rad. (b) At a fixed location, by how much does the phase change during a time interval of $1.0 \times 10^{-4} \mathrm{s} ?$

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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

University of Winnipeg

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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we have given the frequency is 800 the hajj and the speed is given 440 meter per second. So we know the prevalent is equal toe This field developed way frequency, so it will be equal to 0.50 m. No, in part A. We have to find the distance between any two location that correspond to a differential phase. Off phase differences given by the way six. We know that face difference is equal toe que in two parts difference which we have to find so the tax will be equal toe dead Rafay y que case 25 lambda. So from here, Dale tax will be equal to Delta. Phi is five or six, divided by two by in two Lambda which is zero point 50 after the calculating This we will get the text is equal to 01042 meter. This is the part Mhm? No, For part, we we will use the issue off timeto period to define the phase difference. You know that time divided by time period is equal to face difference divided by to buy from here can write the face difference is equal toe by de divided by time period. We can write it to buy Keep one about is equal to frequency. So from here we can write the phase difference is equal to to buy tears 1.7 to 10 to the power minus four second. The frequency is 880 Hutch. So the phase difference will be 0.55 the alien.

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