82 In Fig. 33-70, unpolarized light is sent into the system of three po- larizing sheets, where the polarizing directions of the first and third sheets are at angles 6 = 30° (coun- terclockwise) and 0z = 30° (clock- wise). What fraction of the initial light intensity emerges from the system? %3!

What is the maximum value (in units of N/C) of the electric field Emax in an electromagnetic wave propagating in vacuum whose average intensity is I = 4 %3D W/m2?

6 In Fig. 33-29, unpolarized light is sent into a system of five polarizing sheets. Their polarizing directions, -x measured counterclockwise from the positive direction of the y axis, are the following: sheet 1, 35°; sheet 2, 0°; sheet 3, 0°; sheet 4, 110°; sheet 5, 45°. Sheet 3 is then rotated 180° counter- clockwise about the light ray. During that rotation, at what angles (mea- sured counterclockwise from the y axis) is the transmission of light through the system eliminated? Figure 33-29 Question 6.

c) Max Planck proposed his constant h to relate the energy of a photon to its frequency. Calculate the energy in eV of red light of wavelength 620 nm.

The electric component of a beam of polarized light is Ey = (5.08 V/m) sin[(1.10 × 10° m-4)z + wt). (a) Write an expression for the magnetic field component of the wave, including a value for w. What are the (b) wavelength, (c) period, and (d) intensity of this light? (e) Parallel to which axis does the magnetic field oscillate? (f) In which region of the electromagnetic spectrum is this wave? (a) Bx = ( i ) sin[( i x106 v )z +( i )t] (b) Number i Units (c) Number i Units (d) Number i Units (e) (f) > >

= The electric fields of two harmonic waves of angular frequency w, and we are given by E₁ E₁,0cos (k₁y + w₁t)i and E2 = E2,0cos (k₁y-w₂t)î. Find (a) the instantaneous Poynting vector for the resultant wave motion and (b) the time-average Poynting vector. If the direction of propagation of the second wave is reversed, find (c) the instantaneous Poynting vector for the resultant wave motion and (d) the time -average Poynting vector.