Unpolarized light of intensity I, is sent through three polarizing sheets as shown in the figure. The polarizing direction of the first sheet is vertical. The polarizing direction of the second sheet is rotated counterclockwise by 30 degrees with respect to the vertical. The polarizing direction of the third sheet is rotated counterclockwise by 60 degrees with respect to the vertical. What is the emergent intensity I ?
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- An unpolarized beam of light is incident on a polarizer. At any orientation of the polarizer, the light transmitted is 400 W/m2. What is the intensity of the incident beam? a. 40 W/m2 b. 200 W/m2 c. 400 W/m2 d. 800 W/m2 e. 1200 W/m2Unpolarized light of intensity20.0 W/cm2 is incident on two polarizing filter. The axis of the first filter is at an angle of 25 degrees counterclockwise from the vertical and the axis of the second filter is 62 degrees counterclockwise from the vertical. a.) What is the intensity of the light after it has passed through the second polarizer?Unpolarized light with an initial intensity of 32 W/m2 is incident on a perfect polarizing material that allows light through with a vertical orientation. The light then passes through a second polarizer that is rotated 450 with respect to the first. Finally, the light passes through a third polarizer that is oriented at 900 with respect to the first. What is the intensity of light that makes it through the first polarizer? A. 0 What is the intensity of light that makes it through the second polarizer? B. 2 W/m2 |What is the intensity of light that makes it through all three polarizers? C. 4 W/m2 D. 8 W/m2 E. 16 W/m2 F. 32 W/m2
- A wave is passing through two polarizers. It is an unpolarized electromagnetic wave, and it initially has a max electric field magnitude of 20000N/C. The 1st polarizer, polarizes at an angle of 20 degrees vertical. The 2nd polarizer, polarizes at an angle of 30 degrees horizontal. What would be the intensity of a light wave that passes through the two polarizers?In the figure, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of 0 = 35°, 02 = 25°, and 03 = 34° with the direction of the y axis. What percentage of the light's initial intensity is transmitted by the system? Number i UnitsA 159-turn circular coil has radius of r = 2 [cm] and a resistance of R = 2 [2]. The coil is sitting in a uniform magnetic field that is perpendicular to the plane of the coil. The magnitude of the magnetic field changes to produce an induced current of 1.5 [A] in the coil. What is the magnitude of the induced a. emf? |emfl: = 11 [V] b. change of the magnetic field? |dB/dt] = [T/s] What is the magnitude of the rate of
- 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.Yellow light with wavelength 600nm propagates in the +x direction. The wave is linearly polarized along the ±y direction. a) Draw a labeled snapshot mode picture of what the electric and magnetic fields look like. Use vector representation. b) Determine the frequency of oscillation of the electric field vector for the yellow light. Is the magnitude of this frequency very large or very small?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 \( x = 0 \)?
- We want to rotate the direction of polarization of a beam of polarized light through 90° by sending the beam through one or more polarizing sheets. (a) What is the minimum number of sheets required? (b) What is the minimum number of sheets required if the transmitted intensity is to be more than 83% of the original intensity?A.) Polarized light is incident on 6 polarizing sheets. The axis of the first polarized sheet makes an angle 0 with the plane of polarization. Each subsequent sheet has an axis that is rotated by an angle e from that of adjacent sheets. Find e if 34% of the incident intensity is transmitted by the sheets. B.) Suppose you want to rotate the plane of polarization of a beam of polarized light by 78°, but you do not want the final intensity to be less than 53% of the initial intensity. What is the minimum number of polarizing sheets you must use? Assume that each sheet is rotated the same angle relative to the adjacent sheets. sheets