Discussion
A delta modulator has a step of \( 20 \ \mathrm{mV} \) and a clock of \( 64 \ \mathrm{kHz} \). The maximum slope it can follow is
Answer: D
The staircase can climb one step per clock period:
\[ 0.02 \times 64000 = 1280 \ \mathrm{V/s} \]
so 1280 volts per second, and any input steeper than that causes slope overload. The remaining options misplace a decade or divide where they should multiply. Expressing a coder's limit as a slope rather than as an amplitude is what makes it directly comparable with the signal it has to follow.
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