Consider two sets of polarizers. Set A has four polarizers, arranged so that their transmission axis are oriented at angles relative to the x-axis in this order: 90o, 60o, 30o, and 0o. Set B has four polarizers arranged so their transmission axis oriented at angles relative to x-axis in this order: 90o, 60o, 30o, and 0o. If unpolarized lights of intensity Io, are incident on the two sets of polarizers, is the transmitted intensity the same for both set? Explain. Calculate the fraction of transmitted light for each, in terms of I Consider a third set of polarizers, oriented with their transmission axis at 0o, 35o, 20o, 80o, 112o, and 53o. In what order should these be arranged to allow the maximum transmission of light? Explain.

Consider two sets of polarizers. Set A has four polarizers, arranged so that their transmission axis are oriented at angles relative to the x-axis in this order: 90o, 60o, 30o, and 0o. Set B has four polarizers arranged so their transmission axis oriented at angles relative to x-axis in this order: 90o, 60o, 30o, and 0o. If unpolarized lights of intensity Io, are incident on the two sets of polarizers, is the transmitted intensity the same for both set? Explain. Calculate the fraction of transmitted light for each, in terms of I Consider a third set of polarizers, oriented with their transmission axis at 0o, 35o, 20o, 80o, 112o, and 53o. In what order should these be arranged to allow the maximum transmission of light? Explain.

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Use phasor-form Maxwell’s equations to solve the following problems:
If the RMS magnetic field strength of a sinusoidal plane EM wave is 0.368 millitesla, what is the average pressure it would impose on a reflective surface? N/m2 is the appropriate unit of measurement.
The intensity of a particular TV station’s signal is I =1.01 x 10^(-13) W/m^2 when it arrives at a 28-cm diameter satellite TV antenna. A) Calculate the total energy received by the antenna during 5.0 hours and 40 minutes of viewing this station’s programs. B)What is the amplitude of the field of the EM waves? (E field)
Polarizers: Three polarizers with different axes of transmission will be placed in the path of an unpolarized laser beam with an intensity of 1000 W/m². The transmission axis of polarizer A is vertical (0°), that of B is rotated 35.5° clockwise with respect to vertical, and that of C is rotated 53.3° clockwise with respect to vertical. The polarizers can be placed in any order, but the second polarizer must be 522 mm from the first, and the third must be 229 mm from the second. (a) Find the arrangement of polarizers that maximizes the transmitted intensity and compute the maximum intensity. (b) Find the arrangement of polarizers that minimizes the transmitted intensity and compute the minimum intensity.
To use the equations of equilibrium for a three-dimensional object to solve for the support reactions. The plate shown in (Figure 1) is supported by a roller and a cable in the x-direction at A, a ball-and-socket joint at B, and a roller at C. A force F = 7.1 kN is applied at the centroid of the plate parallel to the yz-plane and making an angle of θ = 36 degrees with the xy-plane. The sides AB and BC of the plate have length L = 1.5 mm What is the reaction force in the y-direction at point B? Let a positive force act in the positive y-direction What is the reaction force in the z-direction at point C? What is the reaction force in the z-direction at point A? What is the reaction force in the z-direction at point B? What is the tension T in the cable? What is the reaction force in the x-direction at point B? Let a positive force act in the positive x-direction.
Vertically polarized light of intensity lo is incident on a polarizer whose transmission axis is at an angle of 70° with the vertical. If the intensity of the transmitted light is measured to be 0.34W/m², the intensity lo of the incident light is O 1.71 W/m2 O 0.99 W/m² O 0.43 W/m2 O 2.91 W/m²
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 29° relative to the transmission axis of the polarizer, and that the transmission axis of each additional analyzer is rotated 29° 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? Number i Unpolarized light Units Polarizer E cos 0 (90° .0 E E Analyzer E cos 0 Photocell
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
You have three polarizers. If incident light is polarized at 30 degrees to the vertical, aligned with the transmission axis of polarizer B (which also has its transmission axis 30 degrees to the vertical), and polarizer C has transmission axis at 90 degrees to the vertical, in what order should the polarizers be placed for maximum intensity? Is there more than one answer? Would it be A,B,C or B,A,C?
Unpolarized light passes through three polarizing filters. The first filter has its transmission axis parallel to the z direction, the second has its transmission axis at an angle of 30.0° from the z direction, and the third has its transmission axis at an angle of 60.0° from the z direction. If the light that emerges from the third filter has an intensity of 587.0 W/m², what is the original intensity of the light? (Assume both angles are measured in the same direction from the +z axis.) W/m2