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The liquid column produces a pressure which is proportional to the height of the liquid in the leg. The pressure developed is equal to hr g (h=height/r =density/g=the acceleration due to gravity. The instrument measures the difference in pressures exerted on the liquid in each of the columns.
With higher pressure p1 being applied to column A and lower pressure p2 to B the liquid in column A is forced down until the pressure p1 is equalised by the pressure in column B. thus the difference in pressures is determined by the height of the liquid h. The scale has been calibrated as a result of the selection of the fluid used, as different fluids at different densities will give a different change in height for the same pressure applied.
|That is||p1 - p2 = h|
Units are important, if for instance:
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