Consider a level transducer based on float with the following characteristics: cross-sectional area of the float A = 18 cm 2 , fluid density ρ = 1000 kg/m 3 , spring’s constant K s = 12.6 N/m and the...

Consider a level transducer based on float with the following characteristics: cross-sectional area of the float A = 18 cm², fluid density ρ = 1000 kg/m³, spring’s constant K_s
= 12.6 N/m and the measuring domain ranging from 0.2 m to 1 m. Compute the static gain of the transducer and make a graphic representation of its steady state characteristic. Compute also the static gain of the level transducer coupled with a transmitter having the following parameters: float displacement range of 100 mm and output signal of the transmitter ranging from 4 mA to 20 mA.