To calculate the Propagated Error (PE):
PE = √(E_A^2 + E_B^2)
Where:
Propagated error refers to the uncertainty in a result caused by the uncertainty in the measurements that contribute to that result. It is a measure of how errors in the input values can affect the final calculated value. Understanding propagated error is crucial in fields such as physics, engineering, and statistics, where precision is important and measurements are often accompanied by some degree of uncertainty.
Let's assume the following values:
Using the formula:
PE = √(0.5^2 + 0.3^2) = √(0.25 + 0.09) = √0.34 ≈ 0.58
The Propagated Error is approximately 0.58.
Let's assume the following values:
Using the formula:
PE = √(1.2^2 + 0.8^2) = √(1.44 + 0.64) = √2.08 ≈ 1.44
The Propagated Error is approximately 1.44.
