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1

### GATE EE 2014 Set 2

For the transfer function $$G\left( s \right) = {{5\left( {s + 4} \right)} \over {s\left( {s + 0.25} \right)\left( {{s^2} + 4s + 25} \right)}}.$$ The values of the constant gain term and the highest corner frequency of the Bode plot respectively are
A
$$3.2, 5.0$$
B
$$16.0, 4.0$$
C
$$3.2, 4.0$$
D
$$16.0, 5.0$$
2

### GATE EE 2010

The frequency response of $$G\left( s \right) = 1/\left[ {s\left( {s + 1} \right)\left( {s + 2} \right)} \right]$$ plotted in the complex $$\,G\left( {j\omega } \right)$$ plane $$\left( {for\,\,0 < \omega < \infty } \right)$$ is
A B C D 3

### GATE EE 2009

The asymptotic approximation of the log magnitude vs frequency plot of a system containing only real poles and zeros is shown. Its transfer function is A
$${{10\left( {s + 5} \right)} \over {s\left( {s + 2} \right)\left( {s + 25} \right)}}$$
B
$${{1000\left( {s + 5} \right)} \over {{s^2}\left( {s + 2} \right)\left( {s + 25} \right)}}$$
C
$${{100\left( {s + 5} \right)} \over {s\left( {s + 2} \right)\left( {s + 25} \right)}}$$
D
$${{80\left( {s + 5} \right)} \over {{s^2}\left( {s + 2} \right)\left( {s + 25} \right)}}$$
4

### GATE EE 2009

The open loop transfer function of a unity feedback system is given by $$G\left( s \right) = \left( {{e^{ - 0.1s}}} \right)/s.$$
The gain margin of this system is
A
$$11.95$$ $$dB$$
B
$$17.67$$ $$dB$$
C
$$21.33$$ $$dB$$
D
$$23.9$$ $$dB$$
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