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1

### GATE EE 2011

The frequency response of a linear system $$G\left( {j\omega } \right)$$ is provided in the tubular form below.

The gain margin and phase margin of the system are

A
$$6$$ $$db$$ and $${30^ \circ }$$
B
$$6$$ $$db$$ and $$-{30^ \circ }$$
C
$$-6$$ $$db$$ and $${30^ \circ }$$
D
$$-6$$ $$db$$ and $$-{30^ \circ }$$
2

### GATE EE 2009

The polar plot of an open loop stable system is shown below. The closed loop systems is
A
always stable
B
marginally stable
C
unstable with one pole on the $$RH$$ $$s-$$plane
D
unstable with two poles on the $$RH$$ $$s-$$ plane
3

### GATE EE 2005

The gain margin of a unity feedback control system with the open loop transfer function $$G\left( s \right) = {{\left( {s + 1} \right)} \over {{s^2}}}$$ is
A
$$0$$
B
$${1 \over {\sqrt 2 }}$$
C
$${\sqrt 2 }$$
D
$$\infty$$
4

### GATE EE 2005

A system with zero initial conditions has the closed loop transfer function $$T\left( s \right) = {{{s^2} + 4} \over {\left( {s + 1} \right)\left( {s + 4} \right)}}.$$ The system output is zero at the frequency
A
$$0.5$$ rad/sec
B
$$1$$ rad/sec
C
$$2$$ rad/sec
D
$$4$$ rad/sec
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