Use the nodal method to derive the transfer function h(s)=vo/vi in terms of the variables r, c, r1 and r2. Show all work. Find the magnitude of the transfer function |h(jω)|. Find the phase response ϕ(ω). Is this a highpass or lowpass filter? what is the cutoff frequency ?.

Air enters a gas turbine with two stages of compression and two stages of expansion at 100 kpa and 17°c. this system uses a regenerator as well as reheating and intercooling – the intercooler returns the air to the inlet temperature. the pressure ratio across each compressor is 4 ; 300 kj/kg of heat are added to the air in each combustion chamber; and the regenerator operates perfectly while increasing the temperature of the cold air by 20°c. determine the system’s thermal efficiency. assume isentropic operations for all compressor and the turbine stages and use constant specific heats at room temperature. (0.378)