Final answer:
The high-frequency gain of the capacitively coupled amplifier is 0 dB. The 3-dB frequency is approximately 15.9 Hz. The gain at f = 1 Hz is approximately 16 dB.
Step-by-step explanation:
The high-frequency gain of a capacitively coupled amplifier is given by the formula Av = -RCfC where R is the resistance, C is the capacitance, and f is the frequency. In this case, the voltage amplifier is ideal, which means its gain is infinite. So, the high-frequency gain is 0 dB.
The 3-dB frequency, also known as the cutoff frequency, is the frequency at which the gain of the amplifier drops by 3 dB. It can be calculated using the formula f0 = 1 / (2πRC) where R is the resistance and C is the capacitance. Plugging in the given values, the 3-dB frequency is approximately 15.9 Hz.
The gain at f = 1 Hz can be calculated using the same formula as the high-frequency gain. Plugging in the values, the gain at f = 1 Hz is approximately 16 dB.