It is required to use a 10-bit ADC for measuring temperature in a process. The range of temperature (T) is 50-225 °C and the temperature sensor has a sensitivity (k) of 20 mV/ °C. The sensor output (V = k T) is to be connected to an input channel of the ADC with an input range of 0-5 V. Obtain the resolution (R) of the ADC. Determine the digital output of the ADC in decimal form (x) for a temperature of 150 °C. Obtain the hexadecimal (H) representation of the decimal output. R = 3.4 mV/bit, x = (877)10, H=(266)16 R = 4.4 mV/bit, x = (641)10, H=(236)16 R = 4.9 mV/bit, x = (614)10, H=(266)16 R = 3.9 mV/bit, x = (461)10, H=(356)16
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The resolution \( R \) can be calculated using the formula: \[ R = \frac{\text{Input Range}}{\text{Number of Steps}} \] where the number of steps is \( 2^{10} = 1024 \). \[ R = \frac{5 \text{ V}}{1024} = 0.0048828125 \text{ V/bit} \] \[ R = 4.8828125 \text{ Show more…
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