So we are given this problem:
A pressure sensor is specified to operate in the range of 0-100psia and provide a 4-20mA current loop output over this range. The pressure sensor current output is connected in the following configuration:
The load resistor used was measured as RL = 250Ω (±0.01%), and the resultant voltage VL was measured with an ADC with an error of ±0.5% FSO (10VDC).
Given that I have an equation:
P = 6250(V/R) - 25
That where I ask my question...
To calculate the maximum possible error in the measured pressure, we need to consider the errors from the load resistor and the ADC. Let's break down the calculations step by step:
1 - Load Resistor Error:
The load resistor's specified value is RL = 250Ω (±0.01%). To calculate the maximum possible error introduced by the load resistor, we use the following formula:
Load Resistor Error = (RL * Load Resistor Error Percentage) = 250Ω * (0.01/100) = 0.025Ω
2 - ADC Error:
The ADC has an error of ±0.5% FSO (Full Scale Output). Since the ADC measures the voltage VL, which is related to the current output of the pressure sensor, we need to calculate the maximum possible error in VL. The ADC measures VL with an error of ±0.5% FSO, which means:
ADC Error = VL * (0.5/100)
3 - Maximum Error in Pressure Calculation:
Now, we can calculate the maximum possible error in the pressure calculation using the given equation P = 6250(V/R) - 25. Since the load resistor and ADC introduce errors, the maximum error in pressure is obtained by taking the absolute value of the sum of the errors:
Maximum Error in Pressure = |6250 * (VL + ADC Error) / (RL + Load Resistor Error) - 25|
Note: Since the load resistor error and ADC error are specified as percentages, we calculate the error contribution by multiplying them with the corresponding variables (VL and RL) in the equation.
Plugging in the values calculated in steps 1 and 2, we can determine the maximum possible error in the measured pressure using the provided equation.
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