Packet 7: Bonus 15
Components of this quantity are constant on the intersecting circles that make up a Smith chart. For 10 points each:
[10m] What quantity must be set equal between source and load when using transmission lines to ensure maximum power transfer?
ANSWER: impedance [or Z; accept impedance matching]
[10e] Coaxial cables typically have a characteristic impedance of this many ohms, as it balances loss and power transfer. By Ohm’s law, when 100 volts are applied across a resistor of this many ohms, 2 amps of current will flow.
ANSWER: 50 ohms
[10h] Drawing a circle from the center point of a Smith chart forms a circle with a constant value of this quantity. Antennas are often tuned in terms of this quantity, which equals one plus the magnitude of gamma over one minus the magnitude of gamma.
ANSWER: VSWR [or voltage standing wave ratio]
<BC, Physics> | NAFTA-Packet-7
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 38 | 15.53 | 92% | 58% | 5% |
Conversion
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| 2026 NAFTA at Stanford | 01/17/2026 | ✓ | 4 | 17.50 | 100% | 75% | 0% |
| 2026 NAFTA at UBC | 01/17/2026 | ✓ | 2 | 5.00 | 50% | 0% | 0% |
| 2025 NAFTA Online | 02/14/2026 | ✓ | 4 | 15.00 | 100% | 50% | 0% |
| 2026 NAFTA at Vanderbilt | 02/14/2026 | ✓ | 3 | 16.67 | 100% | 67% | 0% |
| 2025 NAFTA at Toronto | 09/13/2025 | ✕ | 5 | 16.00 | 100% | 40% | 20% |
| 2025 NAFTA at Maryland | 09/27/2025 | ✓ | 5 | 20.00 | 100% | 80% | 20% |
| 2025 NAFTA at Harvard | 10/04/2025 | ✓ | 3 | 16.67 | 100% | 67% | 0% |
| 2025 NAFTA at Oxford | 10/11/2025 | ✓ | 4 | 17.50 | 100% | 75% | 0% |
| 2025 NAFTA at Chicago | 11/08/2025 | ✓ | 6 | 13.33 | 83% | 33% | 17% |
| 2025 NAFTA at Columbia | 11/08/2025 | ✓ | 5 | 14.00 | 80% | 60% | 0% |
| 2025 NAFTA at Richmond | 12/20/2025 | ✓ | 2 | 15.00 | 100% | 50% | 0% |