Question

Problem 9 A linearly polarized electromagnetic wave is sent through two sheets of polarizing material. The first sheet, A, is oriented so that its transmission axis makes an angle of 30° with respect to the incident electric field of the wave. The second sheet, B, is oriented so that its transmission axis makes an angle of 90° with the incident electric field of the wave. The incident beam has an electric field of peak magnitude E, and average intensity So Eolso 90° What is the peak value of the electric field amplitude after it goes through sheet A? A) 0.30E B) 0.50E. C) 0.60E D) 0.75E. E) 0.87E

please show your work

Answer 1

1) E = Eo*cos(30)

E = 0.866Eo

E = 0.87Eo

Option e)

2) S = So*cos(30)^2*cos(60)^2

S = 0.1875So

S = 0.19So

Option a)

3) the average intensity will be same even if the polarizers are interchanged, that is

S = 0.19So

Option a)