1
GATE EE 2024
MCQ (Single Correct Answer)
+1
-0.33

The circuit shown in the figure with the switch S open, is in steady state. After the switch S is closed, the time constant of the circuit in seconds is

GATE EE 2024 Electric Circuits - Transient Response Question 2 English

A

1.25

B

0

C

1

D

1.5

2
GATE EE 2024
MCQ (More than One Correct Answer)
+2
-0

For a two-phase network, the phase voltages $V_p$ and $V_q$ are to be expressed in terms of sequence voltages $V_\alpha$ and $V_\beta$ as $\begin{bmatrix} V_p \\ V_q \end{bmatrix} = S \begin{bmatrix} V_\alpha \\ V_\beta \end{bmatrix}$. The possible option(s) for matrix $S$ is/are

A

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

B

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

C

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

D

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

3
GATE EE 2024
Numerical
+2
-0

Two passive two-port networks P and Q are connected as shown in the figure. The impedance matrix of network P is $Z_P = \begin{bmatrix} 40 \Omega & 60 \Omega \\ 80 \Omega & 100 \Omega \end{bmatrix}$. The admittance matrix of network Q is $Y_Q = \begin{bmatrix} 5 \, \text{S} & -2.5 \, \text{S} \\ -2.5 \, \text{S} & 1 \, \text{S} \end{bmatrix}$. Let the ABCD matrix of the two-port network R in the figure be $\begin{bmatrix} \alpha & \beta \\ \gamma & \delta \end{bmatrix}$. The value of $\beta$ in $\Omega$ is ______________ (rounded off to 2 decimal places).

GATE EE 2024 Electric Circuits - Two Port Networks Question 1 English
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4
GATE EE 2024
Numerical
+2
-0

For the circuit shown in the figure, the source frequency is 5000 rad/sec. The mutual inductance between the magnetically coupled inductors is 5 mH with their self inductances being 125 mH and 1 mH. The Thevenin’s impedance, $Z_{th}$, between the terminals P and Q in $\Omega$ is ______________ (rounded off to 2 decimal places).

GATE EE 2024 Electric Circuits - Sinusoidal Steady State Analysis Question 2 English
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