Consult Multiple-Concept Example 5 to review the concepts on which this problem depends. A light bulb emits light uniformly in alldirections. The average emitted power is 150.0 W. At a distance of 4 m from the bulb, determine (a) the average intensity of the light,(b) the rms value of the electric field, and (c) the peak value of the electric field.(a)S= i(b)Erms(c) E₁ ==O>

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Answered: Consult Multiple-Concept Example 5 to…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 77PQ

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Similar questions

Figure P24.13 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 50.0 m and the electric field vibrates in the xy plane with an amplitude of 22.0 V/m. Calculate (a) the frequency of the wave and (b) the magnetic field B when the electric field has its maximum value in the negative y direction. (c) Write an expression for B with the correct unit vector, with numerical values for Bmax, k, and , and with its magnitude in the form B=Bmaxcos(kxt) Figure P24.13 Problems 13 and 64.
A uniform circular disk of mass m = 24.0 g and radius r = 40.0 cm hangs vertically from a fixed, frictionless, horizontal hinge at a point on its circumference as shown in Figure P34.39a. A beam of electromagnetic radiation with intensity 10.0 MW/m2 is incident on the disk, in a direction perpendicular to its surface. The disk is perfectly absorbing, and the resulting radiation pressure makes the disk rotate. Assuming the radiation is always perpendicular to the surface of the disk, find the angle through which the disk rotates from the vertical as it reaches its new equilibrium position shown in Figure 34.39b. Figure 34.39
Show that for a continuous sinusoidal electromagnetic wave, the peak intensity is twice the average intensity (I0 = 2Iave), using enter the fact that E0=2Erms, or B0=2Brms, where rms means average (actually root mean square, a type of average).
Integrated Concepts Assume the mostly infrared radiation from a heat lamp acts like a continuous wave with wavelength 1.50 (m. (a) If the lamp’s 200W output is focused on a person’s Shoulder, over a circular area 25.0 cm in diameter, what is the intensity in W/m2? (b) What is the peak electric field strength? (c) Find the peak magnetic field strength. (d) How long will it take to increase the temperature of the 4.00-kg shoulder by 2.00°C, assuming no other heat transfer and given that its speci?c heat is 3.47103J/kgC ?
The average intensity of the solar radiation that strikes normally on a surface just outside Earth’s atmosphere is 1.4 kW/m2. (a) What radiation pressure pr is exerted on this surface, assuming complete absorption? (b) For comparison, find the ratio of pr to Earth’s sea-level atmospheric pressure, which is 1.0 * 10^5 Pa.
Assume the mostly infrared radiation from a heat lamp acts like a continuous wave with wavelength 1.50 µm. (a) If the lamp’s 200-W output is focused on a person’s shoulder, over a circular area 25.0 cm in diameter, what is the intensity in W/m2? (b) What is the peak electric field strength? (c) Find the peak magnetic field strength. (d) How long will it take to increase the temperature of the 4.00-kg shoulder by 2.00º C , assuming no other heat transfer and given that its specific heat is 3.47×103 J/kg⋅ºC?
Assume the mostly infrared radiation from a heat lamp acts like a continuous wave with wavelength 1.50 µm . (a) If the lamp’s 200-W output is focused on a person’s shoulder, over a circular area 25.0 cm in diameter, what is the intensity in W/m2 ? (b) What is the peak electric field strength? (c) Find the peak magnetic field strength. (d) How long will it take to increase the temperature of the 4.00-kg shoulder by 2.00º C , assuming no other heat transfer and given that its specific heat is 3.47×103 J/kg ⋅ ºC ?
The magnetic component of an electromagnetic wave in vacuum has an amplitude of 85.8 nT and an angular wave number of 4.00 m1.What are (a) the frequency of the wave, (b) the rms value of the electric component, and (c) the intensity of the light?
An industrial laser is used to burn a hole through a piece of metal. The average intensity of the light is S= 2.17 × 109 W/m2. What is the rms value of (a) the electric field and (b) the magnetic field in the electromagnetic wave emitted by the laser?
A uniform beam of laser light has a circular cross section of diameter d = 7.5 mm. The beam’s power is P = 4.9 mW. (a) Calculate the intensity, I, of the beam in units of W / m2. (b) The laser beam is incident on a material that completely absorbs the radiation. How much energy, ΔU, in joules, is delivered to the material during a time interval of Δt = 0.89 s? (c) Use the intensity of the beam, I, to calculate the amplitude of the electric field, E0, in volts per meter. (d) Calculate the amplitude of the magnetic field, B0, in teslas.
A space probe which is a distance of 2.6×1010 mm from a star measures the total intensity of electromagnetic radiation from the star to be 5300 W/m^2 . If the star radiates uniformly in all directions, what is its total average power output?
A plane electromagnetic wave varies sinusoidally at 90.0 MHz as it travels through vacuum along the positive x direction. The peak value of the electric field is 2.00 mV/m, and it is directed along the positive y direction. Find (a) the wavelength, (b) the period, and (c) the maximum value of the magnetic field. (d) Write expressions in SI units for the space and time variations of the electric field and of the magnetic field. Include both numerical values and unit vectors to indicate directions. (e) Find the average power per unit area this wave carries through space. (f) Find theaverage energy density in the radiation (in joules per cubic meter). (g) What radiation pressure would this wave exert upon a perfectly reflecting surface at normal incidence?

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