1
GATE ECE 2020
MCQ (Single Correct Answer)
+2
-0.67

$$ \text { For the given circuit, which one of the following is the correct state equation? } $$

GATE ECE 2020 Network Theory - State Equations For Networks Question 1 English
A

$\frac{d}{d t}\left[\begin{array}{l}v \\ i\end{array}\right]=\left[\begin{array}{ll}-4 & -4 \\ -2 & -4\end{array}\right]\left[\begin{array}{l}v \\ i\end{array}\right]+\left[\begin{array}{ll}4 & 0 \\ 0 & 4\end{array}\right]\left[\begin{array}{l}i_1 \\ i_2\end{array}\right]$

B

$\frac{d}{d t}\left[\begin{array}{c}v \\ i\end{array}\right]=\left[\begin{array}{cc}-4 & 4 \\ -2 & -4\end{array}\right]\left[\begin{array}{c}v \\ i\end{array}\right]+\left[\begin{array}{ll}0 & 4 \\ 4 & 0\end{array}\right]\left[\begin{array}{l}i_1 \\ i_2\end{array}\right]$

C

$\frac{d}{d t}\left[\begin{array}{l}v \\ i\end{array}\right]=\left[\begin{array}{cc}4 & -4 \\ -2 & -4\end{array}\right]\left[\begin{array}{l}v \\ i\end{array}\right]+\left[\begin{array}{ll}0 & 4 \\ 4 & 4\end{array}\right]\left[\begin{array}{l}i_1 \\ i_2\end{array}\right]$

D

$\frac{d}{d t}\left[\begin{array}{l}v \\ i\end{array}\right]=\left[\begin{array}{cc}-4 & -4 \\ -2 & 4\end{array}\right]\left[\begin{array}{l}v \\ i\end{array}\right]+\left[\begin{array}{ll}4 & 4 \\ 4 & 0\end{array}\right]\left[\begin{array}{l}i_1 \\ i_2\end{array}\right]$

2
GATE ECE 2020
MCQ (Single Correct Answer)
+2
-0.67

$$ \text { The current } I \text { in the given network is } $$

GATE ECE 2020 Network Theory - Sinusoidal Steady State Response Question 3 English
A

$2.38 \angle-96.37^{\circ} \mathrm{A}$.

B

0 A .

C

$2.38 \angle-23.63^{\circ} \mathrm{A}$.

D

$2.38 \angle 143.63^{\circ} \mathrm{A}$.

3
GATE ECE 2020
Numerical
+2
-0

For a 2-port network consisting of an ideal lossless transformer, the parameter $S_{21}$ (rounded off to two decimal places) for a reference impedance of $10 \Omega$ is $\_\_\_\_$ .

GATE ECE 2020 Network Theory - Two Port Networks Question 4 English
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4
GATE ECE 2020
MCQ (Single Correct Answer)
+1
-0.33

The output $y[n]$ of a discrete - time system for an input $x[n]$ is

$$ y[n]=\max\limits_{-\infty \leq k \leq n}|x[k]| $$

The unit impulse response of the system is

A

unit step signal $u[n]$.

B

0 for all $n$.

C

unit impulse signal $\delta[n]$.

D

1 for all $n$.