An investigation is carried out to find how the magnetic force produced by an electromagnetic actuator varies with the current flowing through its coil. The actuator attracts a magnetic contact at the tip of an elastic cantilever beam, and the resulting downward deflection of the beam is measured.
The graph below shows the results of this investigation.
The current in the coil is increased from 0.6 A0.6\text{ A}0.6 A to 1.2 A1.2\text{ A}1.2 A. Determine the increase in the deflection of the cantilever beam.
Calculate the increase in the restoring force of the cantilever beam when the current in the coil increases from 0.6 A0.6\text{ A}0.6 A to 1.2 A1.2\text{ A}1.2 A.
Use the equation: force=stiffness×deflection\text{force} = \text{stiffness} \times \text{deflection}force=stiffness×deflection The stiffness of the beam is 0.75 N/mm0.75\text{ N/mm}0.75 N/mm.