Question

if x=a/b ,then maximum relative error measurement is​

Answer 1

Answer:

✍️ If X = a - b , then the maximum percentage error in the measurement of ...

Maximum absolute error is Δ a + Δ b . Therefore the percentage error = absolute erroractual error × 100 Percentage error = ( Δaa - b + Δba - b ) × 100

Answer 2

Answer:

if x=a/b,then maximum relative error measurement is (​Δa/a ± Δb/b).

Explanation:

• The ratio of the measurement's absolute error to the actual measurement is known as the relative error.
• In terms of the actual measurement of the object, the relative error reveals the magnitude of the absolute error.
• When the actual measurement of the object is unknown, the measured value is frequently used to calculate the relative error.
• This allows us to calculate the magnitude of the absolute error in terms of the actual measurement size.
• If the object's real measurement is unknown, the relative error is calculated using the measured value.
• Thus, the formula of relative error is:

         Relative Error = Absolute Error/Actual value

         Relative Error = | Measured value - Actual value | / Actual value

Given:-  x = a/b

Error in x ⇒ Δx/x = (Δa/a ± Δb/b)  

#SPJ3