*Question G5B10:
What percentage of power loss is equivalent to a loss of 1 dB?*  

*Correct Answer is  C: 20.6 percent*  

### AI Response: (may contain errors)  

To determine the percentage of power loss equivalent to a loss of 1 dB, we use the formula for decibels (dB) in terms of power:

$$
\text{dB} = 10 \cdot \log_{10} \left( \frac{P_{\text{out}}}{P_{\text{in}}} \right)
$$

For a loss of 1 dB, we set:

$$
-1 = 10 \cdot \log_{10} \left( \frac{P_{\text{out}}}{P_{\text{in}}} \right)
$$

Solving for the power ratio $\frac{P_{\text{out}}}{P_{\text{in}}}$:

1. Divide both sides by 10:
   $$ -0.1 = \log_{10} \left( \frac{P_{\text{out}}}{P_{\text{in}}} \right) $$

2. Convert from logarithmic form to linear form:
   $$ \frac{P_{\text{out}}}{P_{\text{in}}} = 10^{-0.1} $$

3. Calculate $10^{-0.1}$:
   $$ 10^{-0.1} \approx 0.794 $$

This means that the output power is approximately 79.4% of the input power, indicating a power loss of:

$$
100\% - 79.4\% = 20.6\%
$$

Thus, the correct answer is 20.6 percent.

### Why the Correct Answer is Correct:
- **20.6 percent**: This is the calculated percentage of power loss for a 1 dB decrease in power, as shown above.

### Why the Other Choices are Incorrect:
- **10.9 percent**: This value does not correspond to the power loss for a 1 dB decrease.
- **12.2 percent**: This value is incorrect for a 1 dB power loss.
- **25.9 percent**: This value is too high for a 1 dB power loss.

Remember, a 1 dB change in power corresponds to approximately a 20.6% change in power, either as a loss or gain, depending on the context.