One way to produce a beam of polarized light with intensity I and polarization angle 0 would be to pass unpolarized light with intensity Io through a polarizer whose transmission axis is oriented such that OTA = 0. How large must Io be if the transmitted light is to have intensity I?(Figure 3) Express your answer as a decimal number times the symbol I. For example, if Io = (1/4)I, enter 0.25 * I. ? Io =
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- Problem 4: Consider the 100-MHz radio waves used in an MRI device. Part (a) What is the wavelength, in meters, of these radio waves? λ = 3 Part (b) If the frequencies are swept over a ±12.5 MHz range centered on 100 MHz, what is the minimum, in meters, of the range of wavelengths emitted? λmin = Part (c) What is the maximum, in meters, of this wavelength range? λmax =the electric field vector of an electromagnetic wave is pointing 60 degrees above the x axis on the xy plane at a given instant. the magnitude of the magnetic field at that instant is 0.4 micro tesla. what is the magnitude of the electric field at that instant? which way is the em wave traveling? at that instant which directions is the magnetic field pointing at? find the poynting vector?What is the energy of light having a frequency of (8.61x10^14)? Answer to 3 significant figures in scientific notation. Unit is case sensitive. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: Answer X10 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 I, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 0, = 19.0°, 0, = 41.0°, and 0, = 59.0°. Hint: Make repeated úse of Malus's law. If = units 02 I2. (a) Write general complex exponential expressions for two electric field waves (1 and 2) shown below. Both are plane waves with the same wavelength 2, frequency w, and polarization. (b) Derive an expression for the irradiance (I) of the combination of these two fields. Assume 0 <<1 rad.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) ?Answer the following two bonus questions. a. The electric field in the EM wave is given by the following equation: E = 450sin(0.40z – 6.0 x 10°t)î, where E is N/C, z in meters and t in seconds. Determine the curl of the electric field (V X E). b. Use the divergence theorem to convert the Gauss' law from the integral form to the differential form.A beam of unpolarized light of intensity 2.17E3 W/m2 passes through a series of ideal polarizing filters with their polarizing directions turned to various angles as shown in the figure. What is the light intensity at point C (in W/m2)? Use 3 sig figs and scientific notationThree 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, 8₁Learning 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,…Chapter 27: Problem 6: Unpolarized light of intensity I0 = 950 W/m² is incident upon two polarizers. The first has its polarizing axis vertical, and the axis of the second is rotated θ = 65° from the vertical. Randomized Variables I0 = 950 W/m² θ = 65° Part (a) What is the intensity of the light after it passes through the first polarizer in W/m²? Part (b) What is the intensity of the light after it passes through the second polarizer in W/m²?