1. In Routh's-Hurwitz criterion, if there are changes of signs in the elements of the first column, then the number of sign changes indicates
2. While forming Routh's array, the situation of a row of zeros indicates that the system
3. If the roots of the characteristic equation s2 + a1s + a2 = 0 of a network are negative real and unequal, then the system is:
4. What is represented by state transition matrix of a system?
5. The bode plot is applicable to:
6. In the field-controlled motor, the entire damping comes from:
7. Phase of the transfer function of the following circuit is:
8. The Bode plot of the transfer function G(s) = s is:
1. Constant magnitude
2. 20 dB/decade
3. Constant phase shift angle
4. Constant phase shift of $$\frac{\pi }{2}$$
Which of these are correct?
1. Constant magnitude
2. 20 dB/decade
3. Constant phase shift angle
4. Constant phase shift of $$\frac{\pi }{2}$$
Which of these are correct?
9. What is the transfer function of a phase lead compensator? The values of β and τ are given as β < 1 and τ > 0.
10. For the system described by \[\mathop {\rm{X}}\limits^ \cdot \] = AX match List-I with List-II and select the correct answer.
List-I (Matrix A)
List-II (Position of eigen values)
a. \[\left[ {\begin{array}{*{20}{c}}
{ - 1}&2\\
0&{ - 2}
\end{array}} \right]\]
1. One eigen value at the origin
b. \[\left[ {\begin{array}{*{20}{c}}
{ - 1}&{ - 2}\\
{ - 2}&{ - 4}
\end{array}} \right]\]
2. Both the eigen value in the LHP
c. \[\left[ {\begin{array}{*{20}{c}}
0&{ - 1}\\
1&0
\end{array}} \right]\]
3. Both the eigen values in RHP
d. \[\left[ {\begin{array}{*{20}{c}}
1&0\\
2&4
\end{array}} \right]\]
4. Both the eigen values on the imaginary axis
| List-I (Matrix A) | List-II (Position of eigen values) |
| a. \[\left[ {\begin{array}{*{20}{c}} { - 1}&2\\ 0&{ - 2} \end{array}} \right]\] | 1. One eigen value at the origin |
| b. \[\left[ {\begin{array}{*{20}{c}} { - 1}&{ - 2}\\ { - 2}&{ - 4} \end{array}} \right]\] | 2. Both the eigen value in the LHP |
| c. \[\left[ {\begin{array}{*{20}{c}} 0&{ - 1}\\ 1&0 \end{array}} \right]\] | 3. Both the eigen values in RHP |
| d. \[\left[ {\begin{array}{*{20}{c}} 1&0\\ 2&4 \end{array}} \right]\] | 4. Both the eigen values on the imaginary axis |
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