Two polarizing sheets have their transmission axes crossed (90° to one another) and a third sheet is inserted between the two. Unpolarized light of intensity Io is incident on the first sheet. The middle sheet is then rotated with an angular speed ω about an axis parallel to the light beam. Find the intensity transmitted through all three sheets as a function of time. Assume that θ = 0 at time t =

Two polarizing sheets have their transmission axes crossed (90° to one another) and a third sheet is inserted between the two. Unpolarized light of intensity Io is incident on the first sheet. The middle sheet is then rotated with an angular speed ω about an axis parallel to the light beam. Find the intensity transmitted through all three sheets as a function of time. Assume that θ = 0 at time t =

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Electromagnetic Waves

Section: Chapter Questions

Problem 45P

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A linearly polarized microwave of wavelength 1.50 cm is directed along the positive x axis. The electric field vector has a maximum value of 175 V/m and vibrates in the xy plane. Assuming the magnetic field component of the wave can be written in the form B = Bmax sin (kx t), give values for (a) Bmax, (b) k, and (c) . (d) Determine in which plane the magnetic field vector vibrates. (e) Calculate the average value of the Poynting vector for this wave. (f) If this wave were directed at normal incidence onto a perfectly reflecting sheet, what radiation pressure would it exert? (g) What acceleration would be imparted to a 500-g sheet (perfectly reflecting and at normal incidence) with dimensions of 1.00 m 0.750 m?
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.
If the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?
The electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E =(5.00V/m)cos[kx(6.00109s1)t+0.40] j where k is the wavenumber in rad/m, x is in m, t s in Find the following quantities: (a) amplitude (b) frequency (c) wavelength (d) the direction of the travel of the wave (e) the associated magnetic field wave
A beam of polarized light is sent into a system of two polarizing sheets. Relative to the polarization direction of that incident light, the polarizing directions of the sheets are at angles u for the first sheet and 90° for the second sheet. If 0.10 of the incident intensity is transmitted by the two sheets, what is u?
A beam of light polarized along the y axis and moving along the +z axis passes through two polarized sheets with axes of polarization oriented 30◦ and 70◦ relatives to the y axis. The final intensity of the beam is measured to be 61 W/m2. What is the initial beam intensity? Express your answer to the nearest W/m2.
After passing through an analyzer, a beam of polarized light has an intensity of 1/10 of its initial intensity. Find the angle between the axis of the analyzer and the initial amplitude of the beam.
The average intensity of light emerging from a polarizing sheet is 0.789 W/m2, and that of the horizontally polarized light incident on the sheet is 0.865 W/m2. Determine the angle that the transmission axis of the polarizing sheet makes with the horizontal.
Initially unpolarized light is sent along the z-axis into a system of three polarizing sheets placed perpendicular to the z-axis and whose polarizing angles with respect to y-axis are 22º (first sheet), 89º (second sheet), and 56º (the last sheet). What percentage of the initial light intensity is transmitted by the system? Express your answer as a percentage, to at least one digit after the decimal.
An electromagnetic wave from a wire antenna travels (from the reader) toward the plane of the paper. At time t = 0.0 s it strikes the paper at normal incidence. At point O and t = 0.0 s, the magnetic field vector has its maximum value, 5.01×10-8 T, pointing in the negative y-direction. The frequency of this wave is 1.17×106 Hz.What is the magnitude of the Poynting vector of the wave at time t = 0.0 s?
A beam of polarized light of intensity 60.0 W/m2 propagates in the +x-direction. The light is polarized in the +y-direction. The beam strikes an ideal polarizer whose plane is parallel to the yz-plane and has its polarizing axis at 25.0° clockwise from the y-direction. Then the beam that emerges from this polarizer strikes a second ideal polarizer whose plane is also parallel to the yz-plane but has its polarizing axis at 50.0° clockwise from the y-direction. Find the intensity of the light that emerges (a) from the first polarizer, (b) from the second polarizer, and (b) from the second polarizer if the first polarizer is removed
In Figure (a) below, unpolarized light is sent into a system of two polarizing sheets. The angles 01 and 02 of the polarizing directions of the sheets are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale in the figure). Angle 01 is fixed but angle 02 can be varied. Figure (b) gives the intensity of the light emerging from sheet 2 as a function of 02. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the two-sheet system when 02 = 112°? -x- 0. 90° 180° (a) (b) Number i 43 Units percent