Discussion
If rise time of input amplifier is 10 nsec and the observed rise time on CRO is 15 nsec, then the appropriate rise time of the signal is ________.
Answer: B
The rise time of the signal is about 11.18 nsec.
When a signal passes through an amplifier, their rise times combine as the square root of the sum of squares: \(t_{obs}^{2} = t_{sig}^{2} + t_{amp}^{2}\).
\[ \begin{aligned} t_{sig} &= \sqrt{15^{2} - 10^{2}} \\ &= \sqrt{125} = 11.18\ \text{nsec} \end{aligned} \]
18.02 nsec adds the squares instead of subtracting them, 15 nsec ignores the amplifier, and 10 nsec is the amplifier's own rise time.
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