**2003**

1. The approximate Bode magnitude plot of a minimum phase system is shown in figure. The transfer function of the system is

**Solution :**https://www.youtube.com/watch?v=BXoIP2em_cc

**2004**

2. Consider the Bode magnitude plot shown in figure. The transfer function H(s) is

**Solution :**https://www.youtube.com/watch?v=0K0Ls-_nRDQ

3. A system has poles at 0.01 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is

a) - 90

^{o}

b) 0

^{o}

c) 90

^{o}

d) - 180

^{o}

**Solution :**https://www.youtube.com/watch?v=8SWwr0wlV0E

**2006**

4. Consider two transfer functions G

_{1}(s) = 1 / (s

^{2}+ as + b) and G

_{2}(s) = s / (s

^{2}+ as + b). The 3 dB bandwidths of their frequency responses are, respectively

**Solution :**

**2007**

5. The asymptotic Bode plot of a transfer function is as shown in figure. The transfer function G(s) corresponding to this Bode plot is

**Solution :**https://www.youtube.com/watch?v=fpM5ezwr90c

**2008**

6. The magnitude of frequency response of an under damped second order system is 5 at 0 rad/sec and peaks to 10/√3 at 5√2 rad/sec. The transfer function of the system is

**Solution :**https://www.youtube.com/watch?v=3a4n-8XUFCg

**2010**

7. A system with transfer function Y(s)/X(s) = s/(s + p) has an output y(t) = cos(2t – π/3) for the input signal x(t) = p cos(2t – π/2). Then, the system parameter 'p' is

a) √3

b) 2/√3

c) 1

d) √3/2

**Solution :**https://www.youtube.com/watch?v=3WAIkGRRes4

8. For the asymptotic bode magnitude plot shown below, the system transfer function can be

**Solution :**https://www.youtube.com/watch?v=Tt58Wfn-dsQ

**2013**

9. The Bode plot of a transfer function G(s) is shown in the figure below.

The gain (20log|G(s)|) is 32 dB and – 8 dB at 1 rad/sec and 10 rad/sec respectively. The phase is negative for all ω. Then G(s) is

a) 39.8/s

b) 39.8/s

^{2}

c) 32/s

d) 32/s

^{2}

**Solution :**https://www.youtube.com/watch?v=YkPfY-Gufmg

**2014**

10. The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure.

If the system is connected in a unity negative feedback configuration, the steady state error of the closed loop system, to a unit ramp input is _____________

**Solution :**https://www.youtube.com/watch?v=fBTMa-Ql07A

11. In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a 4

^{th}order all pole system?

a) – 80 dB/decade

b) – 40 dB/decade

c) + 40 dB/decade

d) + 80 dB/decade

**Solution :**https://www.youtube.com/watch?v=bTwOnjuzVX8

**2015**

12. Consider the Bode plot shown in figure.

Assume that all the poles and zeros are real valued. The value of f

_{H}– f

_{L}(in Hertz) is ____________________

**Solution :**https://www.youtube.com/watch?v=R95T4ztuNQo