A linear distance sensor outputs 0 to 5V as the distance varies from 0 to 500 cm. The output voltage is connected to a 10-bit ADC with an input range of 0 to 6 V. What is the resolution of the distance sensor (rounded to three decimal places)

Respuesta :

Given Information:

Sensor voltage range = 0 to 5V

ADC resolution:  10 bits

Required Information:

Resolution of sensor = ?

Answer:

Resolution of sensor = [tex]4.882[/tex] [tex]mV[/tex]

Explanation:

The resolution of a sensor is basically a measure of the smallest change in the output value.

An analogue to digital converter (ADC) is used to convert analog signals into digital signals.  

Resolution of sensor = [tex]\frac{V }{2^{N} }[/tex]

Where V is the full scale voltage range of the sensor and N is the number of bits of the analog to digital converter (ADC)

Full scale voltage range of the sensor = 5 - 0

Full scale voltage range of the sensor = 5 V

Resolution of sensor = [tex]\frac{5 }{2^{10} }[/tex]

Resolution of sensor = [tex]\frac{5 }{1024 }[/tex]

Resolution of sensor = [tex]\frac{5 }{1024 }[/tex]

Resolution of sensor = [tex]4.882[/tex] [tex]mV[/tex]