The energy density (energy per unit volume) in an electromagnetic wave is: u = εE². As theelectric field oscillates very quickly, a more useful quantity is the time average. The time average ofcos² (wt) is %. Thus, the time average of the energy density is: uav = 0.(a) Determine the power average Pay delivered by an electromagnetic wave traveling at speedc, through the area A. Hint: consider the total energy in the cylinder below and find arelation independent of length L.LA

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Answered: The energy density (energy per unit…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 71P: Suppose a spherical particle of mass m and radius R in space absorbs light of intensity I for time...

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Suppose a spherical particle of mass m and radius R in space absorbs light of intensity I for time t. (a) How much work does the radiation pressure do to accelerate the particle (mm rest In the given tine It absorbs the light? (b) How much energy canted by the electromagnetic waves is absorbed by the particle over this time based on the radiant energy incident on the particle?
A 150-W lightbulb emits 5% of its energy as electromagnetic radiation. What is the magnitude of the average Poynting vector 10 m from the bulb?
Why is t1 radiation pressure of an electromagnetic wave on a perfectly reflecting surface twice as large as the pressure on a perfectly absorbing surface?
An incandescent light bulb emits only 2.6 W of its power as visible light. What is the rms electric field of the emitted light at a distance of 3.0 m from the bulb?
During normal beating, the heart creates a maximum 4.00-mV potential across 0.300 m of a person’s chest, creating a 1.00-Hz electromagnetic wave. (a) What is the maximum electric field strength created? (b) What is the corresponding maximum magnetic field strength in the electromagnetic wave? (C) What is the wavelength of the electromagnetic wave?
What is the intensity of an electromagnetic wave with a peak electric field strength of 125 Vim?
Far-Infrared value assigned is 17 3. When electromagnetic waves strike an area of an object’s surface for a given time, energy is transferred to the surface. Given the time frame for the study done by (Loturco I, 2016) what was the energy transferred to the soccer players’ body? According to (Schnur, 2017) the average adult BSA is 1.7 m2 (1.9 m2 for adult males and 1.6 m2 for adult females).
Electromagnetic radiation from a 4.95-mW laser is concentrated on a 0.95-mm2 area. Part (a) What is the intensity of the radiation falling on this surface, in watts per square meter? Part (b) Suppose the surface carries a 2.00-nC electric charge. What is the maximum magnitude of the electric force, in newtons, it experiences?
A space probe 2.0 * 1010 m from a star measures the total intensity of electromagnetic radiation from the star to be 5.0 * 103 W/m2. If the star radiates uniformly in all directions, what is its total average power output?
Problem 6: The intensity of an electromagnetic wave is I= 460 W/m2. Part (a) Find the average energy density per unit volume, Ume: in terms of I and the speed of light c. / Correct! Part (b) Solve for the numerical value of Une in J/m2. Vag = 1.53 * 10-6 Uavg- 1.53E-6 v Correct! Part (c) Find an equation for the square of the maximum magnitude of the magnetic field of the wave in terms of Uve and the permeability of free space 4o- Bma = 2 ( 40 ) (U,vz) / Correct! Part (d) Solve for the numerical value of Bmer in tesla. Bmax = 3.85 * 10- 12
Consider the thermodynamically balanced electromagnetic radiation field in a hot oven (T = 250◦C). Calculate the energy density of the field, U/V, and compare it to the internal energy density of the furnace air.
Lasers can be constructed that produce an extremely high intensity electromagnetic wave for a brief time. These devices are called pulsed lasers and can be used to ignite nuclear fusion, for example. Consider a pulsed laser that produces an electromagnetic wave with a maximum electric field strength of 1.25×10^11 V/m for a duration of 1.00 ns. What energy does it deliver on a 1.00 mm^2 area? Give your answer in units of kilojoules.

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