Good morning ..... kaise ho Sab ???
Dear student,
Absolute error is the difference between the actual value of the physical quantity and the observed value. It is denoted by ε
ε = |x-xobs| Where x = true value of the quantity and xobs = observed value
Relative error is defined as the ratio of the absolute error to the true value of the quantity. It is denoted by η.
η= ε/x = |x-xobs|/x
Suppose a voltage of a battery = 1.48V
But it was experimentally found to be 1.5V
Thus,
x = 1.48
xobs=1.5
ε = |x-xobs| = |1.48-1.5| =0.02V
Relative error is given by
η= ε/x = |x-xobs|/x
η= 0.02/1.48 = 0.014
in terms of percentage it would be 1.4%
Differences
- Absolute error has dimensions of the measured physical quantity while relative error is dimensionless.
- Absolute error is difficult to find than relative error