Question
What standing wave ratio results from connecting a 50-ohm feed line to a 10-ohm resistive load?
Answer Options
- A) 2:1
- B) 1:2
- C) 1:5
- D) 5:1
Correct Answer: D
Explanation
The Standing Wave Ratio (SWR) is calculated as the ratio of the larger impedance to the smaller impedance, ensuring the SWR value is always greater than or equal to 1. In this case, the feed line impedance (Z_0) is 50 \text{ ohms} and the resistive load (R_L) is 10 \text{ ohms}.
Since the feed line impedance is larger than the load resistance, the SWR is calculated as 50/10 = 5. Therefore, connecting a 50 \text{ ohm} feed line to a 10 \text{ ohm} resistive load results in an SWR of 5:1. This principle of finding the ratio of the mismatch holds true regardless of whether the feed line or the load has the higher impedance.
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