: Suppose you’re trying to measure an unknown sensor resistance, o , by converting it to a voltage. For a fixed set of values of 1 ,1 , and , each of the following circuits will yield an output voltage, o , as function of o . a. [10 points] For each of these circuits, write the equations relating o to o . b. [10 points] Find the sensitivity for each of these circuits (note that the sensitivities for some of these circuits may not be constants).

Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa. s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)