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= 7(b) The intensity is related to what power of the distance?1(c) The magnitudes of the electric and magnetic fields is related to what power of the distance?!No, that's not the correct answer.

Step 1: As per the definition of intensity, it is defined as energy incident per unit area per unit…

Answered: Suppose a source of electromagnetic…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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During normal beating, a heart creates a maximum 3.85-mV potential across 0.285 m of a person’s chest, creating a 1.1-Hz electromagnetic wave. During normal beating of the heart, the maximum value of the oscillating potential difference across 0.285 m of a person’s chest is 3.85 mV. This oscillating potential difference produces a 1.1-Hz electromagnetic wave. What is the wavelength, in meters, of the electromagnetic wave?
Suppose a source of electromagnetic waves radiates uniformly in all directions in empty space where there are no absorption or interference effects. (a) Show that the intensity is inversely proportional to r2, the distance from the source squared. (b) Show that the magnitudes of the electric and magnetic fields are inversely proportional to r.
Use phasor-form Maxwell’s equations to solve the following problems:
Initial conditions are frequency 5 x10^6 Hz and current 1.5 A A magnetic far field of an antenna has the form B = (B_0sinθ/r) x (sin(kr − ωt)e_ϕ.) a) What is the phase of the wave at r = 6m when t = 0. b)Find the associated electric field and show a method to check this.
An isotropic light source emits rays of 50 W at a wavelength of 500 nm. A light detector is 200 m from the source. What is the maximum value of the rate of change of the magnetic field of the light in dB/dt over time at the detector location?
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) ?
PS:Please make sure to put a) and c) in the correct unit.
To maximize the magnitude of the current induced in a receiving antenna, should the antenna be oriented parallel or perpendicular to the polarization of the electromagnetic wave? Explain your reasoning.
Problem 5: Electromagnetic radiation from a 5.05-mW laser is concentrated on a 1.05-mm2 area. Part (a) What is the intensity of the radiation falling on this surface, in watts per square meter? I = 4809 ✔ Correct! 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? FE,0 = 3.805 * 10-6 Part (c) If the charge moves at 400 m/s, what is the maximum magnetic force, in newtons, that it feels? FB,0 = Please answer c, 4.68 * 10- 12 is incorrect
Write the expressions for the electric and magnetic fields, with their corresponding directions, of an electromagnetic wave that has an electric field parallel to the z axis and whose amplitude is 300 V/m. Also, this wave has a frequency of 3.0 GHz and travels in the +y direction.
There is a vector defined by John Henry Poynting in 1884 whose direction gives the direction that an electromagnetic wave transmits its field energy and whose magnitude is the rate at which energy is being transmitted per square meter of the wavefront. For mutually perpendicular E- and B-fields in the wave, the magnitude of the Poynting vector is S =EB/mu0 and the direction is given by a right-hand rule, curling fingers from E vector and B vector. a) Carefully analyze the units of the Poynting vector and show that they are indeed watts per square meter. b) Find the intensity of the light in a beam of light whose electric field strength is 360 N/C and whose magnetic field is 1.2 muT.
Consider an EM wave in vacuum which has an electric field given by: refer to image. What are the respective directions of the magnetic field and EM wave propagation at \( t = 0 \) and \( x = 0 \)?

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