QUESTION $1$

a$)$ Explain two $(2)$ applications of a transducer.

$(4$ marks$)$

b$)$ Different types of transducers and signal conditioning circuits are given below. Match the transducer with the appropriate signal conditioning circuit commonly used with it$.$

$\backslash$table$[[$P$.,$Thermocouple,$1.,$DC Bridge$],[$Q$.,$Strain gage,$2.,$Phase sensitive detector$],[$R$.,$Piezoelectric,$3.,$Charge amplifier$],[$S$.,$L$.$V$.$D$.$T$,4.,$Cold junction compensation$],[,,5.,$Instrumentation amplifier$]]$

$(6$ marks$)$

C$)$ A resistive strain gauge, $G=2\mathrm{.}2,$ is cemented on a rectangular steel bar with the elastic modulus $E=205106k\frac{N}{m^2},$ width $3\mathrm{.}5$ cm and thickness $0\mathrm{.}55$ cm $.$ An axial force of $12$ kN is applied. Determine the change of the resistance of the strain gauge, $R,$ if the normal resistance of the gauge is $R=100.$

$(5$ marks$)$

$($TOTAL $15$ Marks$)$