1
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6

If the Laplace transform of the voltage across a capacitor of value of $$\frac12\;\mathrm F$$ is $$V_C\;\left(s\right)\;=\;\frac{s\;+\;1}{s^3\;+\;s^2\;+\;s\;+\;1}$$ , the value of the current through the capacitor at t = 0+ is

A
0 A
B
2 A
C
$$\frac12\;\mathrm A$$
D
1 A
2
GATE ECE 1990
MCQ (Single Correct Answer)
+1
-0.33

The open circuit impedance matrix of the 2-port network shown in figure is

GATE ECE 1990 Network Theory - Two Port Networks Question 2 English
A

$\begin{bmatrix}-2 & 1 \\ -8 & 3\end{bmatrix}$

B

$\begin{bmatrix}-2 & -8 \\ -8 & 3\end{bmatrix}$

C

$\begin{bmatrix}0 & 1 \\ 1 & 0\end{bmatrix}$

D

$\begin{bmatrix}2 & -1 \\ -1 & 3\end{bmatrix}$

3
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
A 4 GHz carrier is DSB-SC modulated by a low pass message signal with maximum frequency of 2 MHz. The resultant signal is to be ideally sampled. The minimum frequency of the sampling impulse train should be:
A
4 MHz
B
8 MHz
C
8 GHz
D
8.004 GHz
4
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
The magnitude and phase transfer functions for a distortionless filter should respectively be:
A
Magnitude = Linear, Phase = Constant
B
Magnitude = Constant, Phase = Constant
C
Magnitude =Constant , Phase = Linear
D
Magnitude = Linear, Phase = Linear