The transfer function of a DC motor is given as follows. G(s) = 4 s2+2s+2 The output of the system is fed back to the input, and a proportional controller with a gain value of Kp = 4 is used as the controller. Accordingly, for w = 0.1, w = 4 and w = 100 Hz, mathematically calculate the output if the signal u(t) = 3 sin(wt) is applied to the input of the system. Create the Simulink model of the system, observe the output you get for the specified input value, compare it with the output you calculated mathematically and interpret it.
![(a) Figure Q2(a) shows a differential amplifier with a current source at the bottom. It is given that VDD = VSS = 15 V, ISS = 300 μA, Early effect can be ignored (λ = 0), Kn = 400 μA/V2 and VTN = 1 V. You may assume MOSFET in saturation region. (i) For single ended outputs, draw the half-circuits and derive the algebraic equations for the differential mode and common-mode gains as well as CMRR. [6 Marks] (ii) For the above case of single ended output, what should be the value of Rss to get CMRR = 100? [4 Marks] Figure Q2(a) (b) Figure Q2(b) shows a MOSFET based current mirror. Draw the AC small signal model and derive an equation for output resistance Rout as shown in the figure. You can keep your answer in terms of gm, ro etc but denote the subscript 1,2,3 etc to indicate which transistor. In other words, denote transconductance of M2 by writing gm2 and so on. [6 marks] (c) Draw the diagram of a BJT based Class B push-pull power amplifier and derive the maximum possible power efficiency of this circuit. You may ignore crossover distortion and assume |VCE(sat)| = 0 V. [9 marks]](https://www.doubtrix.com/uploads/editor/1710360410ITbaKcVzzE.jpg)
