FIG. 1. Two linear polarizers. W As shown in the above figure, a beam of unpolarized light, with intensity 43 m2' is sent into a system of two polarizing sheets with polarizing directions at angles 01 70° and 02 90° to the y axis. What is the intensity of the light transmitted by the system?

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.

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

Polarized light passes through two rotated filters from left to right, as shown. At the point A, its intensity is Io. The polarization axis of the first polarizer makes an angle 01= 52.6° with the direction of polarization the incoming light. The polarization axis of the second polarizer makes an angle 02= 59.6° degrees with the polarization axis of the first polarizer. E Polarized В light The intensity of light at the point C is:

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

A.) Polarized light is incident on 5 polarizing sheets. The axis of the first polarized sheet makes an angle with the plane of polarization. Each subsequent sheet has an axis that is rotated by an angle from that of adjacent sheets. Find if 40% 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 82°, but you do not want the final intensity to be less than 57% 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

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

g . Explain what the polarization of electromagnetic waves is. State two examples for a possiblepolarization of a wave as well as an example for its application.