A force sensor has a change in resistance as its output. The sensor forms one leg

$(1)$ of a basic Wheatstone bridge. The sensor resistance with no force load is $500,$ and its static

sensitivity is $0\mathrm{.}5/.$ Each arm of the bridge is initially $500.$ The bridge is operated as a

deflection bridge with an excitation voltage of $10$ V$.$

a$.$ Determine the bridge output for applied loads of $100,200,$ and $350$ N$.$

b$.$ Determine the current flow through the sensor under a load of $200$ N and resulting

power dissipated across it under that loading condition.