The op-amp in the circuit has an input resistance of 400kΩ, an output resistance of 4kΩ, and an open-loop gain, A, of 200,000. Assume the op-amp is operating in its linear region. a. Calculate the voltage gain (vO/vS) of the amplifier. b. Calculate the value of v1 in µV when vS = 1V. c. Calculate the resistance seen by the signal source vS (we usually call this the input impedance of the amplifier circuit). d. Repeat (a), (b), and (c) using the ideal model for the op-amp

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.

The thermal expansion or contraction of a given metal is a function of the f a)-density b)-initial temperature c)- temperature difference d)- linear coefficient of thermal expansion e)- final temperature f)- original length

Water at 55c flows across a flat plate whose surface temperature is held constant at 95c. if the temperature gradient at the plate's surface for a given value of x is 18 c/mm, find a) local heat transfer coefficient. b) heat flux