The voltage output from a J-type thermocouple referenced to 0°C is to be used to measure temperatures from 50 to 70 C. The output voltages vary linearly over this range from 2.585 to 3.649 mv. a. If the thermocouple voltage is input to a 12-bit A/D converter having a ±5-V range, estimate the percent quantization error in the digital value. b. If the analog signal can be first passed through an amplifier circuit, compute the amplifier gain required to reduce the quantization error to 5% or less. c. If the ratio of signal-to-noise level (SNR) in the analog signal is 40 dB, compute the magnitude of the noise after amplification. Discuss the results of 7.40b in light of this.

The voltage output from a J-type thermocouple referenced to 0°C is to be used to measure temperatures from 50 to 70 C. The output voltages vary linearly over this range from 2.585 to 3.649 mv. a. If the thermocouple voltage is input to a 12-bit A/D converter having a ±5-V range, estimate the percent quantization error in the digital value. b. If the analog signal can be first passed through an amplifier circuit, compute the amplifier gain required to reduce the quantization error to 5% or less. c. If the ratio of signal-to-noise level (SNR) in the analog signal is 40 dB, compute the magnitude of the noise after amplification. Discuss the results of 7.40b in light of this.