1
GATE ECE 1991
MCQ (Single Correct Answer)
+2
-0.6
The voltage across an impedance in a network is V(s) = Z(s) I(s), where V(s), Z(s) and $${\rm I}$$(s) are the Laplace Transforms of the corresponding time functions V(t), z(t) and i(t).

The voltage v(t) is

A
$$v\left( t \right) = z\left( t \right)\,.\,i\left( t \right)$$
B
$$v\left( t \right) = \int\limits_0^t {i\left( \tau \right)\,z\left( {t - \tau } \right)d\tau }$$
C
$$v\left( t \right) = \int\limits_0^t {i\left( \tau \right)z\left( {t + \tau } \right)d\tau }$$
D
$$v\left( t \right) = z\left( t \right) + i\left( t \right)$$
2
GATE ECE 1991
MCQ (Single Correct Answer)
+2
-0.6
An excitation is applied to a system at $$t = T$$ and its response is zero for $$- \infty < t < T$$. Such a system is a
A
non-causal system
B
stable system
C
causal system
D
unstable system
3
GATE ECE 1991
MCQ (Single Correct Answer)
+2
-0.6
The pole-zero pattern of a certain filter is shown in the Fig. The filter must be of the following type.
A
low pass
B
high pass
C
all pass
D
band pass
4
GATE ECE 1991
Fill in the Blanks
+2
-0
A signal has frequency components from 300 Hz to 1.8 KHz. The minimum possible rate at which the signal has to be sampled is ______ (fill in the blank).
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