How to Calculate and Solve for Percentage Error at any Point on the Instrument | System Performance Characteristics

January 5, 2021April 23, 2024 Loveth Idoko

Last Updated on April 23, 2024

The image above represents the percentage error at any point on the instrument. Two essential parameters are Error (E) and True Value (TV) to calculate percentage error at any point on the instrument.

The formula for calculating percentage error at any point on the instrument:

%E = ^E / _TV x 100%

Where:

%E = Percentage Error at any point on the Instrument
E = Error
TV = True Value

Let’s solve an example;
Find the percentage error at any point on the instrument when the error is 45 and the true value is 25.

This implies that;

E = Error = 45
TV = True Value = 25

%E = ^E / _TV x 100%
S = ⁴⁵ / ₂₅ x 100%
That is, S = 1.8 x 100%
S = 180

Therefore, the percentage error at any point on the instrument is 180%.

Calculating for the Error when the Percentage Error at any Point on the Instrument and the True Value are Given

E = ^{%E x TV} / _100%

Where:

E = Error
%E = Percentage Error at any Point on the Instrument
TV = True Value

Let’s solve an example;
Find the error when the percentage error at any point on the instrument is 32 and the true value is 12.

This implies that;

%E = Percentage Error at any Point on the Instrument = 32
TV = True Value = 12

E = ^{%E x TV} / _100%
E = ^{32 x 12} / _100%
Then, E = ³⁸⁴ / _100%
E = 3.84

Therefore, the error is 3.84%.

Calculating for the True Value when the Percentage Error at any Point on the Instrument and the Error are Given

TV = ^{E x 100%} / _%E

Where:

TV = True Value
%E = Percentage Error at any Point on the Instrument
E = Error

Let’s solve an example;
Find the true value when the percentage error at any point on the instrument is 60 and the error is 20.

This implies that;

%E = Percentage Error at any Point on the Instrument = 60
E = Error = 20

TV = ^{E x 100%} / _%E
So, TV = ^{20 x 100%} / ₆₀
TV = ²⁰⁰⁰ / ₆₀
TV = 33.33

Therefore, the true value is 33.33%.

How to Calculate Percentage Error at any Point on the Instrument Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the percentage error at any point on the instrument.

To get the answer and workings of the percentage error at any point on the instrument using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on instrumentation under Materials and Metallurgical

Then, Click on System Performance Characteristics under Instrumentation

Now, Click on Percentage Error at any Point on the Instrument under System Performance Characteristics

The screenshot below displays the page or activity to enter your values, to get the answer for the percentage error at any point on the instrument according to the respective parameters which is the Error (E) and True Value (TV).

Now, enter the values appropriately and accordingly for the parameters as required by the Error (E) is 45 and True Value (TV) is 25.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the percentage error at any point on the instrument and presents the formula, workings and steps too.