The power incident in the line is 200W. Assuming the reflected power is 15 W, what is the SWR of the line?

A. 1.69

B. 1.75 C. 1.48

D. 1.50

Ans. B

To calculate the **Standing Wave Ratio (SWR)**, we use the relationship between incident power (\(P_{incident}\)) and reflected power (\(P_{reflected}\)).

First, we calculate the **reflection coefficient** \( \Gamma \), which is given by:

\[
\Gamma = \sqrt{\frac{P_{reflected}}{P_{incident}}}
\]

Given:
- \( P_{incident} = 200 \, W \)
- \( P_{reflected} = 15 \, W \)

Substitute the values into the formula:

\[
\Gamma = \sqrt{\frac{15}{200}} = \sqrt{0.075} \approx 0.274
\]

Now, the SWR (Standing Wave Ratio) is related to the reflection coefficient by the following formula:

\[
SWR = \frac{1 + \Gamma}{1 - \Gamma}
\]

Substitute the value of \( \Gamma \):

\[
SWR = \frac{1 + 0.274}{1 - 0.274} = \frac{1.274}{0.726} \approx 1.75
\]

Thus, the correct answer is:

**B. 1.75**

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Do you want more details or have any questions? Here are 5 related questions for further practice:

1. How do you calculate SWR if only the forward and reverse voltage on the line are known?
2. What is the relationship between reflection coefficient and SWR in transmission lines?
3. If the reflected power increases, how does the SWR change?
4. What would the SWR be if there is no reflected power?
5. How does impedance mismatch in transmission lines affect SWR?

**Tip:** A higher SWR indicates more reflected power, which means greater impedance mismatch.

The power incident in the line is 200W. Assuming the reflected power is 15 W, what is the SWR of the line? A. 1.69 B. 1.75 C. 1.48 D. 1.50

Learn how to calculate the Standing Wave Ratio (SWR) given 200W incident power and 15W reflected power. This problem uses key transmission line theory concepts, including the reflection coefficient and SWR formula. Suitable for university-level electrical engineering or physics students.

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