Answer:
To find the damping time in decibels (dB), you can use the formula:
\[ \text{Damping time (in dB)} = \frac{1}{\text{Damping factor (in dB/sec)}} \]
Given that the amplitude halves in 0.2 seconds, you can find the damping factor in dB/sec by:
\[ \text{Damping factor (in dB/sec)} = \frac{-20 \log_{10}(0.5)}{0.2} \]
Now, calculate this value and then use it to find the damping time in dB.
