Relative Limiting Error Calculator

✖Actual Value is the true value of the system.ⓘ Actual Value [A_o]			+10% -10%
✖Nominal Value is the nominal reading of instrument.ⓘ Nominal Value [A_s]			+10% -10%

✖Relative Limiting Error describes the maximum allowable deviation between a measured value and the true value, expressed as a fraction or percentage of the true value. It gauges precision.ⓘ Relative Limiting Error [ε_rl]

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Formula

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Relative Limiting Error

Formula

`"ε"_{"rl"} = ("A"_{"o"}-"A"_{"s"})/"A"_{"s"}`

Example

`"5.060606"=("2"-"0.33")/"0.33"`

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Relative Limiting Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value
ε_rl = (A_o-A_s)/A_s
This formula uses 3 Variables

Variables Used

Relative Limiting Error - Relative Limiting Error describes the maximum allowable deviation between a measured value and the true value, expressed as a fraction or percentage of the true value. It gauges precision.
Actual Value - Actual Value is the true value of the system.
Nominal Value - Nominal Value is the nominal reading of instrument.

STEP 1: Convert Input(s) to Base Unit

Actual Value: 2 --> No Conversion Required
Nominal Value: 0.33 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_rl = (A_o-A_s)/A_s --> (2-0.33)/0.33

Evaluating ... ...

ε_rl = 5.06060606060606

STEP 3: Convert Result to Output's Unit

5.06060606060606 --> No Conversion Required

FINAL ANSWER

5.06060606060606 ≈ 5.060606 <-- Relative Limiting Error

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electronics and Instrumentation » Instrument Analysis » Instrument Error Measurement » Relative Limiting Error

Credits

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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 11 Instrument Error Measurement Calculators

Relative Limiting Error

Go Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value

Percentage Error

Go Percentage Error = (Erroneous Quantity-True Value)/True Value

Erroneous Quantity

Go Erroneous Quantity = Percentage Error*True Value+True Value

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

Location of Point

Go Location of Point = Average Deviation*0.8453

Average Deviation

Go Average Deviation = Location of Point/0.8453

Relative Limiting Error Formula

Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value
ε_rl = (A_o-A_s)/A_s

What are the types of errors?

Errors in measurements are broadly categorized into three types: systematic errors, random errors, and blunders. Systematic errors stem from identifiable causes and can be corrected with proper calibration or adjustment. Random errors result from unpredictable fluctuations in measurement conditions and can be minimized through statistical analysis and replication of experiments. Blunders arise from human mistakes or equipment malfunctions and are typically identified through careful review and validation processes.

How to Calculate Relative Limiting Error?

Relative Limiting Error calculator uses Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value to calculate the Relative Limiting Error, The Relative Limiting Error formula is defined as In limiting error, the specified quantity is taken as the true quantity, and the maximum deviation quantity is known as the incorrect or erroneous quantity. Relative Limiting Error is denoted by ε_rl symbol.

How to calculate Relative Limiting Error using this online calculator? To use this online calculator for Relative Limiting Error, enter Actual Value (A_o) & Nominal Value (A_s) and hit the calculate button. Here is how the Relative Limiting Error calculation can be explained with given input values -> 6.575758 = (2-0.33)/0.33.

FAQ

What is Relative Limiting Error?

The Relative Limiting Error formula is defined as In limiting error, the specified quantity is taken as the true quantity, and the maximum deviation quantity is known as the incorrect or erroneous quantity and is represented as ε_rl = (A_o-A_s)/A_s or Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value. Actual Value is the true value of the system & Nominal Value is the nominal reading of instrument.

How to calculate Relative Limiting Error?

The Relative Limiting Error formula is defined as In limiting error, the specified quantity is taken as the true quantity, and the maximum deviation quantity is known as the incorrect or erroneous quantity is calculated using Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value. To calculate Relative Limiting Error, you need Actual Value (A_o) & Nominal Value (A_s). With our tool, you need to enter the respective value for Actual Value & Nominal 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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