Technician A says the use of a larger input piston gives the system a mechanical advantage or increase in the force available to do work. Technician B says the multiplication of force through a hydraulic system is directly proportional to the difference in the piston sizes throughout the system.

Technician B is absolutely right

Explanation:

When smaller input force is exerted on small piston, it results in a greater output force on the large piston so that there is a mechanical advantage.

The input force is simply called the effort and the output force is called the load.

This advantage is possible because of two characteristics of liquids, which implies that they cannot be compressed and that they distribute pressure uniformly. This principle is called Pascal’s principle.

The pressure at piston A is equal to the pressure at piston B.

Pressure is calculated as force per area.

Pressure Cylinder A = Pressure Cylinder B

ForceA/AreaA = ForceB/AreaB

Mechanical force = Load/effort

We have that in the syringes the piston with the large diameter will have a smaller distance out­put, and the piston with the small diameter will have a larger distance output.

The relationship of distance output is determined by the mechanical force advantage

this is poiselle's equation from fluid mechanic in physics. mech eng