Suppose a source of electromagnetic waves radiates uniformly in all directions in empty space wherethere are no absorption or interference effects.(a) Derive an expression for the intensity of the waves in terms of the distance. You may use thevariables 'P' for power, and 'r' for distance from the source in your expression.Note: Click the red square root symbol to open the equation editor.I=(b) The intensity is related to what power of the distance?(c) The magnitudes of the electric and magnetic fields is related to what power of the distance?

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Answered: Suppose a source of electromagnetic…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

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Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 46P: A plane electromagnetic wave of frequency 20 GHz moves in the positive y-axis direction such that...

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A plane electromagnetic wave of frequency 20 GHz moves in the positive y-axis direction such that its electric field is pointed along the z-axis. The amplitude of the electric field is 10 V/m. The start of time is chosen so that at t = 0, the electric field has a value 10 V/m at the origin. (a) Write the wave function that will describe the electric field wave, (b) Find the wave function that will describe the associated magnetic field wave.
A plane electromagnetic wave varies sinusoidally at 90.0 MHz as it travels in the positive x-direction. The peak value of the electric field is 2 mV/m, and is directed along the positive x-direction. Determine: the wavelength, the period the peak value of the magnetic field. Write expressions in SI units for the variations in space and time of both the electric and magnetic fields. Include both numerical values and subscripts to indicate direction coordinates.
A radiowave at 900 MHz is reflected by a concrete ground with a relative dielectric constant of 9 and conductivity of 0. If the incident angle is 30 degree. a). Find the reflection and transmission coefficients for TE (perpendicular/horizontal) polarisation. b). Find the reflection and transmission coefficients for TM (parallel/vertical) polarisation
Write equations for both the electric and magnetic fields for an electromagnetic wave in the red part of the visible spectrum that has a wavelength of 714 nm and a peak electric field magnitude of 1.8 V/m. (Use the following as necessary: t and x. Assume that E is in volts per meter, B is in teslas, t is in seconds, and x is in meters. Do not include units in your answer. Assume that E = 0 and B = 0 when x = 0 and t = 0.) FIND: E(x,t) = ? B(x,t) = ?
Write equations for both the electric and magnetic fields for an electromagnetic wave in the red part of the visible spectrum that has a wavelength of 717 nm and a peak electric field magnitude of 2.2 V/m. (Use the following as necessary: t and x. Assume that E is in volts per meter, B is in teslas, t is in seconds, and x is in meters. Do not include units in your answer. Assume that E = 0 and B = 0 when x = 0 and t = 0.) E(x, t) = B(x, t) =
An electromagnetic wave with an electric field amplitude of (2.88x10^2) V/m is incident normally on a surface with an area of (3.674x10^0) cm² and is completely absorbed. How much energy is delivered during (2.402x10^1) s? Express your result in J with three significant figures. Note: Your answer is assumed to be reduced to the highest power possible.
Light with an intensity of (5.4x10^0) kW/m² falls normally on a surface and is completely reflected. What is the radiation pressure in μPa. Use two significant figures for your answer. Note: Your answer is assumed to be reduced to the highest power possible.
If you wish to observe features that are around the size of atoms, say 5.5 × 10-10 m, with electromagnetic radiation, the radiation must have a wavelength of about the size of the atom itself. a. If you had a microscope which was capable of doing this, what would the frequency of electromagnetic radiation be, in hertz, that you would have to use? f = b. What type of electromagnetic radiation would this be?
A circular loop of wire can be used as a radio antenna. If an 19.8-cm-diameter antenna is located 3.00 km from a 88.9 MHz source with a total power of 60.1 kW, what is the maximum emf induced in the loop? The orientation of the antenna loop and the polarization of the wave are as shown in (Figure 1). Assume that the source radiates uniformly in all directions. Figure In vicinity of loop, wave propagates in +x-direction. In vicinity of loop. E has only a y-component and B has only a 2-component. E B 1 of 1 > Circular loop antenna lies in xy-plane. ▼ Answer Requested Part G Determine the time-dependent induced emf in the loop. Express your answer in terms of the variables BMax, w, k, d, z, and t. ▸ View Available Hint(s) IVE ΑΣΦ E(x, t) = Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part H Complete previous part(s) EVALUATE Part I Complete previous part(s) ?
We have a plane electromagnetic wave traveling in the +z direction. As you may recall, plane waves have electric and magnetic fields that vary like either sine or cosine, with an argument of (kz−ωt). Our goal here will be to write down the equations describing the electric and magnetic fields in this particular wave, and then use those equations to calculate a few quantities.Let's suppose that at z=0 and t=0, the magnetic field has its maximum value B0 and points in the −y direction. Use that information to decide whether your B -field should vary like sine or like cosine, and write a symbolic vector expression for B . Then write a symbolic vector expression for the E -field that would be in this wave. The definition of the Poynting vector will let you figure the direction of the E -field. A) The frequency of this wave is f=3.060e+06 Hz. What is the scalar value of the magnetic field at t=1.29e−07 s? You can still assume that z=0, and that B0 = .0056 T . For m answer I got .0059 T…
We have a plane electromagnetic wave traveling in the +z direction. As you may recall, plane waves have electric and magnetic fields that vary like either sine or cosine, with an argument of (kz−ωt). Our goal here will be to write down the equations describing the electric and magnetic fields in this particular wave, and then use those equations to calculate a few quantities.Let's suppose that at z=0 and t=0, the magnetic field has its maximum value B0 and points in the −y direction. Use that information to decide whether your B -field should vary like sine or like cosine, and write a symbolic vector expression for B . Then write a symbolic vector expression for the E -field that would be in this wave. The definition of the Poynting vector will let you figure the direction of the E -field. a) Now let's suppose that B0 =0.0042 T. What is the scalar value of the electric field at t=0? Note that this could be positive or negative. b) What is the magnitude of the Poynting vector of this…
We have a plane electromagnetic wave traveling in the +z direction. As you may recall, plane waves have electric and magnetic fields that vary like either sine or cosine, with an argument of (kz−ωt). Our goal here will be to write down the equations describing the electric and magnetic fields in this particular wave, and then use those equations to calculate a few quantities.Let's suppose that at z=0 and t=0, the magnetic field has its maximum value B0 and points in the −y direction. Use that information to decide whether your B -field should vary like sine or like cosine, and write a symbolic vector expression for B . Then write a symbolic vector expression for the E -field that would be in this wave. The definition of the Poynting vector will let you figure the direction of the E -field. The frequency of this wave is f=2.090e+06 Hz. What is the scalar value of the magnetic field at t=1.59e−07 s? You can still assume that z=0. What is the B-Field?

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