GATE EE 2025 | Three Phase Circuits Question 1 | Electric Circuits

GATE EE 2025

MCQ (Single Correct Answer)

-0.67

The transformer connection given in the figure is part of a balanced 3-phase circuit where the phase sequence is "abc". The primary to secondary turns ratio is $2: 1$. If ( $I_a+I_b+I_c=0$ ), then the relationship between $l_A$ and $l_{\text {ad }}$ will be

GATE EE 2025 Electric Circuits - Three Phase Circuits Question 3 English

$\frac{\left|I_A\right|}{\left|I_{a d}\right|}=\frac{1}{2 \sqrt{3}}$ and $I_{a d}$ lags $I_A$ by $30^{\circ}$

$\frac{\left|I_A\right|}{\left|I_{a d}\right|}=\frac{1}{2 \sqrt{3}}$ and $I_{a d}$ leads $I_A$ by $30^{\circ}$

$\frac{\left|I_A\right|}{\left|I_{a d}\right|}=2 \sqrt{3}$ and $I_{a d}$ lags $I_A$ by $30^{\circ}$

$\frac{\left|I_A\right|}{\left|I_{a d}\right|}=2 \sqrt{3}$ and $I_{a d}$ leads $I_A$ by $30^{\circ}$

GATE EE 2025

Numerical

-0

In an experiment to measure the active power drawn by a single-phase RL Load connected to an AC source through a $2 \Omega$ resistor, three voltmeters are connected as shown in the figure below. The voltmeter readings are as follows : $\mathrm{V}_{\text {source }}=200 \mathrm{~V}$, $V_R=9 \mathrm{~V}, V_{\text {Load }}=199 \mathrm{~V}$. Assuming perfect resistors and ideal voltmeters, the Load-active power measured in this experiment, in $W$, is ___________ . GATE EE 2025 Electric Circuits - Three Phase Circuits Question 2 English

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GATE EE 2025

Numerical

-0

Using shunt capacitors, the power factor of a 3-phase, 4 kV induction motor (drawing 390 kVA at 0.77 pf lag) is to be improved to 0.85 pf lag. The line current of the capacitor bank, in $A$, is _________ (Round off to one decimal places)

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GATE EE 2024

MCQ (More than One Correct Answer)

-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

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

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

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

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