True Value of Quantity Solution

STEP 0: Pre-Calculation Summary
Formula Used
True Value = Absolute Value/Relative Static Error
XE = δA/εrs
This formula uses 3 Variables
Variables Used
True Value - True Value is the actual value of any process done in survey.
Absolute Value - Absolute Value Static Error is the difference between the measured value and the “true” value.
Relative Static Error - Relative Static Error is the ratio of absolute static error to the true value of the quantity under measurement.
STEP 1: Convert Input(s) to Base Unit
Absolute Value: 810 --> No Conversion Required
Relative Static Error: 9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
XE = δA/εrs --> 810/9
Evaluating ... ...
XE = 90
STEP 3: Convert Result to Output's Unit
90 --> No Conversion Required
FINAL ANSWER
90 <-- True Value
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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17 Error Measurement Calculators

Angular Deflection of Spring
Go Angular Deflection of Spring = (Flat Spiral Spring Controlling Torque/Spring Constant)*(pi/180)
Relative Limiting Error
Go Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value
Power Consumed at Full-Scale Reading
Go Power Consumed at Full-Scale Reading = Current at Full-Scale Reading*Full-Scale Voltage Reading
Percentage Error
Go Percentage Error = (Erroneous Quantity-True Value)/True Value
Erroneous Quantity
Go Erroneous Quantity = Percentage Error*True Value+True Value
Magnitude of Output Response
Go Magnitude of Output Response = Sensitivity*Magnitude of Input Response
Magnitude of Input
Go Magnitude of Input Response = Magnitude of Output Response/Sensitivity
Sensitivity
Go Sensitivity = Magnitude of Output Response/Magnitude of Input Response
Nominal Value
Go Nominal Value = Actual Value/(Relative Limiting Error+1)
True Quantity
Go True Value = Erroneous Quantity/(Percentage Error+1)
Absolute Static Error of Quantity A
Go Absolute Value = True Value*Relative Static Error
Measured Value of quantity
Go Measured Value Output = Absolute Value+True Value
True Value of Quantity
Go True Value = Absolute Value/Relative Static Error
Relative Static Error
Go Relative Static Error = Absolute Value/True Value
Inverse Sensitivity or Scale Factor
Go Inverse Sensitivity or Scale Factor = 1/Sensitivity
Location of Point
Go Location of Point = Average Deviation*0.8453
Average Deviation
Go Average Deviation = Location of Point/0.8453

True Value of Quantity Formula

True Value = Absolute Value/Relative Static Error
XE = δA/εrs

What is Measurement Error?

Measurement Error (also called Observational Error) is the difference between a measured quantity and its true value. It includes a random error (naturally occurring errors that are to be expected with any experiment) and a systematic error (caused by a miscalibrated instrument that affects all measurements).

How to Calculate True Value of Quantity?

True Value of Quantity calculator uses True Value = Absolute Value/Relative Static Error to calculate the True Value, The True Value of Quantity(At) formula is defined as the computation of percentage error involves the use of the absolute error, which is simply the difference between the observed and the true value. The absolute error is then divided by the true value, resulting in the relative error, which is multiplied by 100 to obtain the percentage error. True Value is denoted by XE symbol.

How to calculate True Value of Quantity using this online calculator? To use this online calculator for True Value of Quantity, enter Absolute Value (δA) & Relative Static Error rs) and hit the calculate button. Here is how the True Value of Quantity calculation can be explained with given input values -> 90 = 810/9.

FAQ

What is True Value of Quantity?
The True Value of Quantity(At) formula is defined as the computation of percentage error involves the use of the absolute error, which is simply the difference between the observed and the true value. The absolute error is then divided by the true value, resulting in the relative error, which is multiplied by 100 to obtain the percentage error and is represented as XE = δA/εrs or True Value = Absolute Value/Relative Static Error. Absolute Value Static Error is the difference between the measured value and the “true” value & Relative Static Error is the ratio of absolute static error to the true value of the quantity under measurement.
How to calculate True Value of Quantity?
The True Value of Quantity(At) formula is defined as the computation of percentage error involves the use of the absolute error, which is simply the difference between the observed and the true value. The absolute error is then divided by the true value, resulting in the relative error, which is multiplied by 100 to obtain the percentage error is calculated using True Value = Absolute Value/Relative Static Error. To calculate True Value of Quantity, you need Absolute Value (δA) & Relative Static Error rs). With our tool, you need to enter the respective value for Absolute Value & Relative Static Error and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate True Value?
In this formula, True Value uses Absolute Value & Relative Static Error. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • True Value = Erroneous Quantity/(Percentage Error+1)
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