Relative Static Error Calculator

✖Absolute Value Static Error is the difference between the measured value and the “true” value.ⓘ Absolute Value [δA]			+10% -10%
✖True Value is the actual value of any process done in survey.ⓘ True Value [X_E]			+10% -10%

✖Relative Static Error is the ratio of absolute static error to the true value of the quantity under measurement.ⓘ Relative Static Error [ε_rs]

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Formula

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Relative Static Error

Formula

`"ε"_{"rs"} = "δA"/"X"_{"E"}`

Example

`"8.899143"="810"/"91.02"`

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Relative Static Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Static Error = Absolute Value/True Value
ε_rs = δA/X_E
This formula uses 3 Variables

Variables Used

Relative Static Error - Relative Static Error is the ratio of absolute static error to the true value of the quantity under measurement.
Absolute Value - Absolute Value Static Error is the difference between the measured value and the “true” value.
True Value - True Value is the actual value of any process done in survey.

STEP 1: Convert Input(s) to Base Unit

Absolute Value: 810 --> No Conversion Required
True Value: 91.02 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_rs = δA/X_E --> 810/91.02

Evaluating ... ...

ε_rs = 8.89914304548451

STEP 3: Convert Result to Output's Unit

8.89914304548451 --> No Conversion Required

FINAL ANSWER

8.89914304548451 ≈ 8.899143 <-- Relative Static Error

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Relative Static Error Formula

Relative Static Error = Absolute Value/True Value
ε_rs = δA/X_E

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 Relative Static Error?

Relative Static Error calculator uses Relative Static Error = Absolute Value/True Value to calculate the Relative Static Error, The Relative Static Error formula is defined as The relative static error is the ratio of absolute static error to the true value of the quantity under measurement. Relative Static Error is denoted by ε_rs symbol.

How to calculate Relative Static Error using this online calculator? To use this online calculator for Relative Static Error, enter Absolute Value (δA) & True Value (X_E) and hit the calculate button. Here is how the Relative Static Error calculation can be explained with given input values -> 8.899143 = 810/91.02.

FAQ

What is Relative Static Error?

The Relative Static Error formula is defined as The relative static error is the ratio of absolute static error to the true value of the quantity under measurement and is represented as ε_rs = δA/X_E or Relative Static Error = Absolute Value/True Value. Absolute Value Static Error is the difference between the measured value and the “true” value & True Value is the actual value of any process done in survey.

How to calculate Relative Static Error?

The Relative Static Error formula is defined as The relative static error is the ratio of absolute static error to the true value of the quantity under measurement is calculated using Relative Static Error = Absolute Value/True Value. To calculate Relative Static Error, you need Absolute Value (δA) & True Value (X_E). With our tool, you need to enter the respective value for Absolute Value & True Value and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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