1
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
$${\omega _n}\sqrt {(1 - 2{\xi ^2}) - \sqrt {4{\xi ^4} - 4{\xi ^2} + 2} } $$
2
GATE ECE 1994
Fill in the Blanks
+1
-0
The open loop frequency response of a system at two particular frequencies are given by: 1.2 $$\angle - 180^\circ $$ and 1.0 $$\angle - 190^\circ $$. The closed loop unity feedback control system is then
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