$6\mathrm{.}10$ A force sensor has as its output a change in resistance. The sensor forms one leg $($R$1)$ of a basic Wheatstone bridge. The sensor resistance with no force load is $500,$ and its static sensitivity is $0\mathrm{.}5/$N$.$ Each arm of the bridge is initially $500.$

Determine the bridge output for applied loads of $100,200,$ and $350$ N$.$ The bridge is operated as a deflection bridge, with an input voltage of $10$ V$.$

Determine the current flow through the sensor$.$

Repeat $($a$)$ and $($b$)$ with Rm $=10$ k$$ and Rs $=600.$