Question
Discuss the process of combination of errors when two physical quantities are multiplied.
Solution
Combination error when two quantities are multiplied, is given by
Let X = AB
Let ∆A, ∆B and ∆X be the absolute errors in A, B and X respectively.
Therefore the above equation with error can be written as,
are small quantities.
Therefore the product will be very small and hence can be neglected.
Thus the above equation reduce to,
Maximum value of fractional error in X is
Multiplying both sides by 100
i.e. Maximum possible %age error in X = Maximum possibe %age error in A + Maximum possible %age error in B.