Use a sketch briefly to describe how to obtain the gain margin and phase margin via a Nyquist diagram. Q2 (a) (b) For the below system (shown in Figure 2), find the real axis crossing of Nyquist diagram. Hence find the gain and phase margins. Assume frequency corresponding to the gain margin as 0.64359 rad/s. R(s) Y(s) 25+4s+2s+1 Figure 2 (c) Explain briefly the similarities between the Root locus technique and Nyquist criterion. +

For the circuit in the figure, assuming that the op-amp is ideal in all respects: 1. Derive an expression for the gain of the circuit, v /v, as a function of frequency. 0 2. Sketch the magnitude of the gain in dB versus w using a Bode plot. Use the following values for the passive components: C= 40 pF, R1 = 2.5 KQ and R2 = 25 kn. Label the axes carefully so that the slope of any lines may be clearly seen. V₁ Click here for Figure R1 www R2 |+ C Submitting an answer for this question entails two steps: Vo A. In the box provided below, state the value(s) of the frequency (or frequencies) at which the slope of the magnitude of the gain changes. Include units in your answer.

Q5. Using the impedance approach, obtain the transfer function Eo(s)/E:(s) of the op-amp circuit shown in Figure 5. R2 Figure 5: Operational-amplifier circuit

Problem 1 - Design an inverting amplifier with a gain of -24. Please draw the resulting circuit and block diagram.