1
GATE ECE 1995
+1
-0.3
The final value theorem is used to find the
A
steady state value of the system output
B
initial value of the system output
C
transient behavior of the system output
D
none of these
2
GATE ECE 1995
+1
-0.3
If L$$\left[ {f\left( t \right)} \right]$$ = $${{2\left( {s + 1} \right)} \over {{s^2} + 2s + 5}}$$, then $$f\left( {0 + } \right)\,$$ and $$f\left( \infty \right)$$ are given by
A
0, 2 respectively
B
2, 0 respectively
C
0, 1 respectively
D
2/5, 0 respectively
3
GATE ECE 1995
Subjective
+5
-0
A sinsoidal signal, v(t) = A sin(t), is applied to an ideal full-wave rectifier. Show that the Laplace Transform of the output can be written in the form, $${V_0}\left( s \right) = {A \over {{s^2} + 1}}Coth\left( {\alpha s} \right),$$

where α is a constant. Determine the value of α.

4
GATE ECE 1995
+1
-0.3
The transfer function of a linear system is the
A
ratio of the output, v0(t), and input, vi(t).
B
ratio of the derivatives of the output and the input.
C
ratio of the Laplace transform of the output and that of the input with all initial conditions zeros.
D
none of these.
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