14.23 (a) Derive an expression for the transfer function of the op amp–RC circuit shown in Fig. P14.23. Give expressions for the frequency of the transmission zero ωZ, the frequency of the pole ωP, the dc gain, and the high-frequency gain. (b) Design the circuit to realize a first-order op amp–RC spectrum-shaping function with a transmission zero frequency of 100 Hz, a pole frequency of 10 kHz, and a dc gain magnitude of unity. The low-frequency input resistance is to be 10 kΩ. What high-frequency gain results? Sketch the magnitude of the transfer function versus frequency.