E.2 use the voltage divider rule to find the transfer function vo(s)/vi(s) of the circuit in fig. e.3(a). show that the transfer function can be made independent of frequency if the condition c1r1 = c2r2 applies. under this condition the circuit is called a compensated attenuator. find the transmission of the compensated attenuator in terms of r1 and r2.

At steady state, air at 200 kpa, 325 k, and mass flow rate of 0.5 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. the inlet cross-sectional area is 6 cm2. at the duct exit, the pressure of the air is 100 kpa and the velocity is 250 m/s. neglecting potential energy effects and modeling air as an 1.008 kj/kg k, determine ideal gas with constant cp = (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in k. (c) the exit cross-sectional area, in cm2