1
GATE EE 2004
+1
-0.3
For a tachometer if $$\theta \left( t \right)$$ is the rotor displacement is radians, $$e\left( t \right)$$ is the output voltage and $${K_t}$$ is the tachometer constant in V/rad/sec, then the transfer function $${{E\left( s \right)} \over {\theta \left( s \right)}},$$ will be
A
$${K_t}{s^2}$$
B
$${{{K_t}} \over s}$$
C
$${{K_t}\,s}$$
D
$${K_t}$$
2
GATE EE 2004
+2
-0.6
For the block diagram shown in figure, the transfer function $${{C\left( s \right)} \over {R\left( s \right)}}$$ is equal to
A
$${{{s^2} + 1} \over {{s^2}}}$$
B
$${{{s^2} + s + 1} \over {{s^2}}}$$
C
$${{{s^2} + s + 1} \over s}$$
D
$${1 \over {{s^2} + s + 1}}$$
3
GATE EE 2004
+1
-0.3
Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace transform of the function $$f(t).$$ The initial value of $$f(t)$$ is equal to
A
$$5$$
B
$$5/2$$
C
$$5/3$$
D
$$0$$
4
GATE EE 2004
+1
-0.3
Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace transform of the function $$f(t).$$ The initial value of $$f(t)$$ is equal to
A
$$5$$
B
$$5/2$$
C
$$5/3$$
D
$$0$$
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