D 2.92 Figure P2.92 shows a first-order high-pass active filter that has a single time-constant response. Derive the transfer function and show that the high-frequency gain is (−R2/R1) and the 3-dB frequency ω0 = 1/CR1. Design the circuit to obtain a high-frequency input resistance of 2 kΩ, a high-frequency gain of 40 dB, and a 3-dB frequency of 2 MHz. At what frequency does the magnitude of the transfer function equal unity?
D 2.92 Figure P2.92 shows a first-order high-pass active filter that has a single time-constant response. Derive the transfer function and show that the high-frequency gain is (−R2/R1) and the 3-dB frequency ω0 = 1/CR1. Design the circuit to obtain a high-frequency input resistance of 2 kΩ, a high-frequency gain of 40 dB, and a 3-dB frequency of 2 MHz. At what frequency does the magnitude of the transfer function equal unity?
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