The current through an electrical device is given as i(t) = 30e -0.2t mA, and the voltage through the device is given as v(t) = 100( 1 - e -0.2t ) V. For this device, determine:

a. The charge delivered from t = 0 to t = 3s.
b. The instantaneous power at t = 2s.
c. The total energy delivered for all time (i. e. from t = 0 to t = [infinity]).

The temperature of air decreases as it is compressed by an adiabatic compressor. a)- true b)- false

Amass-spring-viscous damper system of mass 3 kg has a frequency of 100 rad/s and is critically damped. its initial conditions are x(0)-3 mm and (0)-2.3 m/s. does the system overshoot its equilibrium position? prove your answer

To design a steam turbine to produce 12,000 hp power. a engineer comsiders using a steady state stean low st 1160fr and engineer considers using a steady state steam flow at 1160°r and 450 psia to drive this steam turbine. the exhaust of the steam is cooled by the lake (vacuum). heat losing to the surroundings is measured at a rate of 555.55 btu/s. (a) sketch the system with the given conditions. (b) neglecting kinetic and potential energy changes from inlet to exit, determine the volumetric flow rate of the steam at the inlet, (ft'/hr). must clearly show unit conversions at crtical terms.