Question
When propagating inside of a hollow, rectangular perfect conductor, these phenomena propagate in TE or TM modes. For 10 points each:
[10e] Name these phenomena that are transverse when the direction of disturbance is perpendicular to their propagation.
ANSWER: waves [accept electromagnetic waves]
[10h] This mode is the lowest allowable TE, or transverse electric, mode for a hollow rectangular waveguide made with a perfect conductor.
ANSWER: TE10 (“T-E-one-zero”) mode
[10m] Each pair of indices of a rectangular waveguide with side lengths a and b determines a value for this quantity computed as “c, times pi, times the square root of the following: m over a squared, plus n over b squared.” Below this quantity, the solutions for the E- and B-fields indicate exponential attenuation rather than traveling waves.
ANSWER: cutoff frequency [accept corner frequency or break frequency; prompt on cutoff or frequency; reject “cutoff wavelength”]
Data
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total |
|---|---|---|---|---|---|
| Chicago A | Maryland A | 10 | 10 | 0 | 20 |
| Cornell B | Claremont A | 10 | 0 | 0 | 10 |
| Florida A | WUSTL A | 0 | 10 | 0 | 10 |
| Illinois A | Florida B | 10 | 0 | 0 | 10 |
| Imperial A | Chicago B | 10 | 0 | 0 | 10 |
| Iowa State A | Johns Hopkins A | 10 | 0 | 0 | 10 |
| Michigan A | Georgia Tech A | 10 | 0 | 0 | 10 |
| NYU A | Brown A | 10 | 0 | 0 | 10 |
| North Carolina A | Cornell A | 10 | 0 | 0 | 10 |
| Northwestern A | Georgia Tech B | 10 | 10 | 0 | 20 |
| Penn A | Rutgers A | 10 | 0 | 0 | 10 |
| Penn State A | Duke A | 10 | 0 | 10 | 20 |
| South Carolina A | Indiana A | 10 | 0 | 0 | 10 |
| Stanford A | Minnesota B | 10 | 0 | 0 | 10 |
| Texas A | Columbia A | 10 | 10 | 0 | 20 |
| Toronto A | Yale B | 10 | 0 | 0 | 10 |
| UC Berkeley A | Virginia A | 10 | 0 | 0 | 10 |
| UC Berkeley B | Ohio State A | 10 | 0 | 0 | 10 |
| Vanderbilt A | Minnesota A | 10 | 0 | 0 | 10 |
| WUSTL B | McGill A | 10 | 0 | 0 | 10 |
| Yale A | Rutgers B | 10 | 0 | 0 | 10 |