Q5: [15] One of the most widely used capacitive level consists of two concentric metal cylinders as shown in Figure III.

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Q5 15 One Of The Most Widely Used Capacitive Level Consists Of Two Concentric Metal Cylinders As Shown In Figure Iii 1 (573.29 KiB) Viewed 18 times

Q5: [15] One of the most widely used capacitive level consists of two concentric metal cylinders as shown in Figure III. The space between the cylinders contains liquid as shown. Use the variables defined in figure. It's given that the capacitance per unit length of two coaxial cylinder, radii b and a (b>a) 2TTEDE separated by a dielectric ε is Also note the following data for given sensor In(b/a) probe: The total length of level sensor is 8 m and ratio (b/a) is 2.0. The dielectric constant of the liquid is 2.4 and permittivity of free space is 8.85 pF/m. i. Derive the formula for capacitance of level sensor (label it as Cí) as function of level in tank ‘h'. Show steps and any assumptions you make. ii. Suppose we use the capacitance level sensor in AC bridge circuit shown in Figure IV in the position of Cı, as shown where R2= 100k12, R3 = 10k 2 and Vs = 15 V, calculate the value of C4 needed such that Eth is zero when the tank is empty. iii. Using the value of C4, determine the value of Eth when h = 7 m. R R3 Air ETH Liquid C4 Ci Figure III Vs Figure IV