Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 15.0 units (arbitrary). Calculate the transmitted intensity If when ?1 = 17.0°,?2 = 39.0°, and ?3 = 61.0°. Make repeated use of Malus's law. If = answer in units

Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 12.0 units (arbitrary). Calculate the transmitted intensity If when ?1 = 15.0°, ?2 = 39.0°, and ?3 = 59.0°. Hint: Make repeated use of Malus's law.If =  units

A beam of intensity I reflects from a long, totally reflecting cylinder of radius R; the beam is perpendicular to the central axis of the cylinder and has a diameter larger than 2R.What is the beam’s force per unit length on the cylinder?

Three perfect polarizers are placed in sequence and receive incoming light from one side as shown in the figure below. The first polarizer has its optic axis oriented vertically. The second is oriented ? = 26.0 degrees to one side of vertical. The third is oriented horizontally.What fraction of the incoming intensity gets through the first polarizer? I1/I0 = What fraction of the incoming intensity gets through both the first and second polarizers? I2/I0 = What fraction of the incoming intensity gets through the first, second, and third polarizers? I3/I0 = How much intensity would get through if the second and third polarizers were exchanged? I3/I0 =

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) ?

Three polarizing disks whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown. A linearly polarized beam of light with the plane of polarization parallel to the vertical reference direction is incident from the left on the first disk with intensity I; = 2.5 units (arbitrary). 15.4° 37.7 68.3° I2 If Calculate the transmitted intensity If when 01 = 15.4°, 02 = 37.7°, and 03 = 68.3°. %3D

Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 8, 15.0°, 0,= 45.0°, and 83=57.0°. Hint: Make repeated use of Malus's law. I₁ = units 4, 8₁

Learning Goal: To understand polarization of light and how to use Malus's law to calculate the intensity of a beam of light after passing through one or more polarizing filters. The two transverse waves shown in the figure (Figure 1) both travel in the +z direction. The waves differ in that the top wave oscillates horizontally and the bottom wave oscillates vertically. The direction of oscillation of a wave is called the polarization of the wave. The upper wave is described as polarized in the +x direction whereas the lower wave is polarized in the +y direction. In general, waves can be polarized along any direction. Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist of oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers to the oscillation direction of the electric field, not the magnetic field. In this problem all figures depicting light waves illustrate only the electric field. A linear polarizing filter,…

Malus's Law Below is an image of light with initial intensity lo = 750.0 W/m² going through 2 polarizing filters. The first polarizing filter is oriented with vertical polarization. The angle between the two polarizing filters is 0 = 35.0 degrees. The light is initially polarized horizontal before entering the first polarizing filter. What is the intensity of the light at l, (after passing through both filters)? Make sure to give your answer in units of W/m² and with an appropriate number of significant figures. Polarizing Filter, Polarizing Filter, Io 12 Your Answer: Answer

More than one analyzer can be used in a setup like that in the drawing, each analyzer following the previous one. Suppose that the transmission axis of the first analyzer is rotated 23° relative to the transmission axis of the polarizer, and that the transmission axis of each additional analyzer is rotated 23⁰ relative to the transmission axis of the previous one. What is the minimum number of analyzers needed for the light reaching the photocell to have an intensity that is reduced by at least a factor of 100 relative to that striking the first analyzer? Unpolarized light Number Units Polarizer E cos 0 <90⁰ 0 E Analyzer E cos 0 Photocell