Solenoid and valve assembly having a linear output

A solenoid assembly is used with a valve assembly to regulate the flow of fluid therethrough. The solenoid assembly includes a solenoid frame extending between a first end and a second end. A primary plate is disposed adjacent the first end of the solenoid frame. The primary plate includes a flux concentrating cylinder extending out therefrom. A secondary plate is disposed adjacent the second end of the solenoid frame. A bobbin is disposed within the solenoid frame between the primary and secondary plates. The bobbin defines a core and has a wire coil wrapped about the core. The wire coil receives an electric current to induce a magnetic field thereabout. The solenoid assembly also includes a plunger that is extendable through a portion of the core of the bobbin and is movable at a defined force with respect to the bobbin. The plunger moves in response to changes in the magnetic field. The plunger includes a flux extension extending out therefrom coaxially with the plunger. The flux extension includes a relief portion cut out of the flux extension to change the force created by the plunger as it moves through the core.