Question

Adv. Electricity & Magnetism

Please show ALL work and EXPLAIN in detail!

Long Problems Complete Both Problem s (20pts) i ERO ACE ZERBLONSKI is performing a space walk oatside the old space shuttle. His goal is to repair damage has leaked out of the shuttle. While working, he loses his grip and begins to drift away teHe reaches for his radio, but realizes that he left it in his other space suit. His only to try to use his SPACE LASER to try to get the attention of his crew mates. This laser fires a monochromatic plane wave beam of visible light. Upon trving to use it, he realizes that the leaking gas has The year is 20X6 (i.e., the future!). SPACE of the new space shuttle, which looks suspiciously like to a gas tank that from the shuttle! created an interface with a different index of refraction than the near-vacuum that he is currently Boating in. This causes the beam to change direction- he can't get a straight shot! Using his space-golf range he finds that he is a distance r from the shuttle. In the plane of incidence, he is below the shuttle yadistance z and to the left of it by distance 2z. The gas makes an interface parallel to the vertical axis. After some effort, he finds that an angle 45° above the horizontal axis is the perfect angle to Ace. shine his SPACE LASER into the cockpit. The crew sees his predicament and saves 6-45 2z 1. The crew is curious what gas tank leaked, but Ace didn't check before floating away. The index of refraction could be a big hint. Create an expression for n2 as a function of z, z, and r only. Assume n1=1. 2. What fraction of the intensity of Ace's SPACE LASER BEAM was transmitted to the cockpit? Again, create an expression using only z, z, and r.

Answer 1

2, 근 At paint App Snells lauo, n1 Cos 9 T Cos 군 2x272 t 212 2. 2. 212 To