1
GATE EE 2025
Numerical
+2
-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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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

In the circuit shown, $Z_1 = 50\angle -90^{\circ} \Omega$ and $Z_2 = 200\angle -30^{\circ} \Omega$. It is supplied by a three phase 400 V source with the phase sequence being R-Y-B. Assume the watt meters $W_1$ and $W_2$ to be ideal. The magnitude of the difference between the readings of $W_1$ and $W_2$ in watts is _________________ (rounded off to 2 decimal places).

GATE EE 2024 Electric Circuits - Three Phase Circuits Question 4 English
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4
GATE EE 2023
MCQ (Single Correct Answer)
+2
-0.67

A 3-phase, star-connected, balanced load is supplied from a 3-phase, 400 V (rms), balanced voltage source with phase sequence R-Y-B, as shown in the figure. If the wattmeter reading is $$-$$400 W and the line current is $$I_R=2$$ A (rms), then the power factor of the load per phase is

GATE EE 2023 Electric Circuits - Three Phase Circuits Question 7 English

A
Unity
B
0.5 leading
C
0.866 leading
D
0.707 lagging
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