Final answer:
The gain of the voltage amplifier at frequencies of 10 Hz, 10 kHz, 100 kHz, and 1 MHz are approximately 60 dB, 40 dB, 20 dB, and 0 dB respectively, given the 60 dB de gain and 3-dB frequency of 1000 Hz.
Step-by-step explanation:
The question is asking for the gain of a voltage amplifier at different frequencies, given that it has a low-pass STC (single time constant) response, a de (direct current) gain of 60 dB (decibels), and a 3-dB frequency of 1000 Hz. To find the gain at frequencies 10 Hz, 10 kHz, 100 kHz, and 1 MHz, we can use the concept that in a low-pass filter, the gain decreases at a rate of 20 dB per decade after the 3-dB cutoff frequency. Since 10 Hz is well below the 3-dB frequency, the gain will still be close to 60 dB. However, at 10 kHz, 100 kHz, and 1 MHz (which are above the 3-dB frequency), the gain will decrease following a 20 dB per decade slope. Specifically, for every tenfold increase in frequency past 1000 Hz, the gain drops by 20 dB.
At 10 kHz, which is one decade past the 3-dB frequency, the gain will be approximately 60 dB - 20 dB = 40 dB. At 100 kHz, two decades past, the gain will be 40 dB - 20 dB = 20 dB. At 1 MHz, three decades past, the gain will be 20 dB - 20 dB = 0 dB.