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2. Suppose that you have a 10 V Peak to Peak (Vpp) sine wave centered around 0 volts. The frequency is 10 KHz. a- Write an equation that expresses the voltage as a function of time. b- What is the maximum rate of change of voltage with respect to time and where does it occur? c-Suppose that you have a 12-bit A/D converter that does a complete conversion in 10 us. Without adding any additional circuitry, discuss how many actual bits of accuracy you could expect when digitizing this sine wave? d-Suppose you add a sample/hold module to the system with a droop rate of 1 volt per millisecond. Would this improve the accuracy of the system? If so, by how much.