1
GATE ECE 1994
Subjective
+2
-0
The response of an LCR circuit to a step input is
(a) Over damped
(b) Critically damped
(c) Oscillatory

If the transfer function has

(1) poles on the negative real axis
(2) poles on the imaginary axis
(3) multiple poles on the positive real axis
(4) poles on the positive real axis
(5) multiple poles on the negative real axis

2
GATE ECE 1994
Subjective
+5
-0
Reduce the signal flow graph shown in fig. below, to obtain another graph which does not contain the node e5.Also, remove any self-loop from the resulting graph. GATE ECE 1994 Control Systems - Signal Flow Graph and Block Diagram Question 6 English
3
GATE ECE 1994
True or False
+2
-0
If G(s) is a stable transfer function, then $$F\left(s\right)=\frac1{G\left(s\right)}$$ is always a stable transfer function.
A
TRUE
B
FALSE
4
GATE ECE 1994
MCQ (Single Correct Answer)
+1
-0.3
The 3-dB bandwidth of a typical second- order system with the transfer function $${{C\left( s \right)} \over {R(s)}} = {{\omega _n^2} \over {{s^2} + 2\xi {\omega _n}s + \omega _n^2}}$$, is given by
A
$${\omega _n}\sqrt {1 - 2{\xi ^2}} $$
B
$${\omega _n}\sqrt {(1 - {\xi ^2}) + \sqrt {{\xi ^4} - {\xi ^2} + 1} }$$
C
$${\omega _n}\sqrt {(1 - 2{\xi ^2}) + \sqrt {4{\xi ^4} - 4{\xi ^2} + 2} } $$
D
$${\omega _n}\sqrt {(1 - 2{\xi ^2}) - \sqrt {4{\xi ^4} - 4{\xi ^2} + 2} } $$