D 2.86 Figure P2.86 shows a circuit that performs a low-pass STC function. Such a circuit is known as a first-order, low-pass active filter. Derive the transfer function and show that the dc gain is (−R2/R1) and the 3-dB frequency ω 0 = 1/CR2. Design the circuit to obtain an input resistance of 10 k, a dc gain of 40 dB, and a 3-dB frequency of 1 kHz. At what frequency does the magnitude of the transfer function reduce to unity?

86 - D 2.86 Figure P2.86 shows a circuit that performs a low-pass STC function. Such a circuit is known as a first-order, low-pass active filter. Derive the transfer function and show that the dc gain is (−R2/R1) and the 3-dB frequency ω 0 = 1/CR2. Design the circuit to obtain an input resistance of 10 k, a dc gain of 40 dB, and a 3-dB frequency of 1 kHz. At what frequency does the magnitude of the transfer function reduce to unity?

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images - D 2.86 Figure P2.86 shows a circuit that performs a low-pass STC function. Such a circuit is known as a first-order, low-pass active filter. Derive the transfer function and show that the dc gain is (−R2/R1) and the 3-dB frequency ω 0 = 1/CR2. Design the circuit to obtain an input resistance of 10 k, a dc gain of 40 dB, and a 3-dB frequency of 1 kHz. At what frequency does the magnitude of the transfer function reduce to unity?

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