A beam of light polarized along the y axis and moving along the +z axis passes through two polarized sheets with axes of polarization oriented 30◦ and 70◦ relatives to the y axis. The final intensity of the beam is measured to be 61 W/m2. What is the initial beam intensity? Express your answer to the nearest W/m2.

Unpolarized light passes through two ideal Polaroid sheets. The axis of the first is vertical and the axis of the second is at 40.0° to the vertical. What fraction of the incident light is transmitted? Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I₁ = = 11.0 units (arbitrary). Calculate the transmitted intensity I, when 0₁ = 21.0°, 0₂ = 41.0°, and 03 = 59.0°. Hint: Make repeated use of Malus's law. 1 units If= = I; 0₁ 02 03

Light is prepared so that it is polarized at 15.4 degrees with an intensity of 0.553 W/m2. The light passes through a polarizer oriented to pass polarization at an angle of 65.2 degrees and then through a second polarizer oriented to pass polarization at 90.0 degrees. What is the intensity in W/m2 of the light after passing through the second polarizer? (Enter answer with 3 digits right of the decimal.

An electromagnetic wave with a frequency of 4.72 x 1014 Hz has a speed of 1.71 x 108 m/s when it travels through a medium.  What is the index of refraction of that medium?

how would you solve this? Light is emitted from the light source, reflects from mirror surface X to the plane mirror, and then to the position of surface Z. By the time the light moves from the X to Z position, mirror surface X will have moved to the position of mirror surface Z. The light then continues to the observer. The distances from the light source and the observer to the rotating mirrors are negligible. The distance from the rotating mirrors to the plane mirror is 35.0 km.If the mirrors are rotating at 480 rev/s, the speed of light calculated from the given information is     a 7.44  10–9 m/s b 1.34  108 m/s c 2.98  10–8 m/s d 3.36  107 m/s

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.

Three electromagnetic waves travel through a certain point P along an x axis. They are polarized parallel to a y axis, with the following variations in their amplitudes. Find their resultant at P. E₁ (5.0 x 10-5 V/m) sin[(3.0 x 1014 rad/s)t] -E2= (6.0 x 10-6 V/m) sin((3.0 x 1014 rad/s)t + 45°] E3 = (6.0 x 10-6 V/m) sin[(3.0 x 1014 rad/s)t-45*] E = ( i i ✓) sin[(i x 1014 )t +

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.

A current of (1.141x10^0) A is used to charge a parallel plate capacitor with square plates. The side of each plate is (6.33x10^1) cm. What is the displacement current through a (1.6770x10^-3) m² area wholly between the capacitor plates and parallel to them? Answer with three significant figures in mA. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: Answer x10