Browse by Stream
Discuss Doubts
Home
Search for Exam, Articles, Questions
get app
Go To Your Study Dashboard
  1. Home
  2. The maximum percentage error in the value of A will be?

Filters

Select Stream
Select Type
Q&A - Ask Doubts and Get Answers
Q
Engineering

The maximum percentage error in the value of A will be?

The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5%
respectively in the measurement of a physical quantity A= \frac{P^{3}Q^{2}}{\sqrt{R}S}

 

Answers (1)
Views
A Abhishek Sahu

For maximum percentage error, differentiate and divide the equation by itself

\frac{\Delta A}{A} =3 \frac{\Delta P}{P} +2\frac{\Delta Q}{Q} +\frac{1}{2}\frac{\Delta R}{R}+\frac{\Delta S}{S}

\frac{\Delta A}{A} = 6.5 \%

 

Similar Questions

Exams
Articles
Questions