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(II) A small steel wire of diameter 1.0 $\mathrm{mm}$ is connected to an oscillator and is under a tension of 7.5 $\mathrm{N}$ . The frequency of the oscillator is 60.0 $\mathrm{Hz}$ and it is observed that the amplitude of the wave on the steel wire is 0.50 $\mathrm{cm} .$ (a) What is the power output of the oscillator, assuming that the wave is not reflected back? (b) If the power output stays constant butthe frequency is doubled, what is the amplitude of the wave?

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a) 0.38$W$b) $0.25 \mathrm{cm}$

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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power transmitted by the wave is expressed this physical toe two pi squared road density into s cross sectional area into speed into frequency square into empty to re square. This is the formula for power transmitted why of the Now we knew that velocity or speed off babe is equal toe tension divided by new We're mu is the mass per unit land and we can write. Muse is equal to volume mass density which is raw in to cross sectional area We can write music will toe roll into us now the speed will be called toe t developed by row into is now We put this occasion here so we get the formula for power is equal toe by square row into s into VI. This is a call to a narrow TV rolling to us in tow. F Square is clear. No, If he solve this, we get The formula for power is equal toe by square F square, a square on the road rule into s in duty. Is that tension in the the No. Yeah, we will put the value off when she amplitude density in the cross sectional area. So we know that the frequency is given 60 hutch and the amplitude is 0.0 five. We did in the road. Densities density is given 7800 kg Per mill creek. You Another tension is 7.5 newton. Now this cross extra area will be equal toe by our square. So fi in two five and put 10 to the power minus three. Holy square. No. If we show if we solve this whole we get the power is a culture around 0.38 What now? This is the solution for part A for part We we have to find the power. Output stays constant but the frequency is the world. What is the amplitude off the way You know that power is constant is constant and power is proportional to f squared and the square Now we can write if frequency doubles. If if this is equal toe to f, then what will the value off amplitude? So amplitude must be half So the new amplitude will be equal toe half off initial, which is a colt 0.25 centimeters. So this is the solution for part Mhm

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