Question

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)

Answer 1

Given Information:

Sensor voltage range = 0 to 5V

ADC resolution: 10 bits

Required Information:

Resolution of sensor = ?

Answer:

Resolution of sensor =
`4.882`
`mV`

Step-by-step 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 =
`(V )/(2^(N) )`

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 =
`(5 )/(2^(10) )`

Resolution of sensor =
`(5 )/(1024 )`

Resolution of sensor =
`(5 )/(1024 )`

Resolution of sensor =
`4.882`
`mV`