Two sheets of ideal polarizing material are placed with their transmission axes at 80.0 to each other. A third polarizing sheet is placed between them with its transmission axis at 40.0° to the axes of the other two. A) If unpolarized light of intensity I0 is incident on the system, what is the intensity of the transmitted light? B) What is the fraction of the incident light intensity that is transmitted, when the middle sheet is removed? answer is in I0

The helium-neon laser usually used in classrooms typically provides an intensity of about 14 What are the rms electric and magnetic fields 1m/wm for such a beam? Hint: Poynting vector We know that electric and magnetic fields store energy, and so as EM wave propagates, it carries energy. The rate of energy flow, in watts per square meter, can be shown to be: S = ¹ EX B Ho S is the Poynting vector. It points in the direction the energy is propagating. In a plane wave, EL B,and E=cB, so |S= Wmm². = EB= 1 CHO -E²=__B² но Но 1 = 1/² &₁₂ E²³C с Is /IM√x (mm) 2

In Figure (a) below, unpolarized light is sent into a system of three polarizing sheets. The angles 8₁, 82, and 83 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 8₁ and 83 are fixed, but angle 82 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 82. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the system when 82 = 34⁰? (a) M 90° (b) 18002

In Figure (a) below, unpolarized light is sent into a system of three polarizing sheets.The angles 0₁, 02, and 83 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 0₁ and 83 are fixed, but angle 82 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 0₂. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the three-sheet system when 82 = 92⁰? Number Units 60° (b) 120° 180-

A beam of unpolarized light shines on a stack of five ideal polarizers, set up so that the angles between the polarization axes of pairs of adjacent polarizers are all equal. The intensity of the transmitted beam is reduced from the intensity of the initial beam by a factor of a = = 0.215. Ө Find the angle between the axes of each pair of adjacent 0 = rizers.

Unpolarized light with intensity Io is incident on a series of polarizing sheets. The first sheet has itstransmission axis oriented at 90°. A second polarizer has its transmission axis oriented at 60° .Determine the fraction of light intensity exiting the second sheet?