1
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

A nullator is defined as a circuit element where the voltage across the device and the current through the device are both zero. A series combination of a nullator and a resistor of value, $R$, will behave as a

A
resistor of value $R$
B
nullator
C
open circuit
D
short circuit
2
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

The input voltage $v(t)$ and current $i(t)$ of a converter are given by, $v(t)=300 \sin (\omega t) \mathrm{V}$

$$ i(t)=10 \sin \left(\omega t-\frac{\pi}{6}\right)+2 \sin \left(3 \omega t+\frac{\pi}{6}\right)+\sin \left(5 \omega t+\frac{\pi}{2}\right) A $$

where, $\omega=2 \pi \times 50 \mathrm{rad} / \mathrm{s}$. The input power factor of the converter is closest to

A
0.845
B
0.867
C
0.887
D
1.0
3
GATE EE 2025
MCQ (Single Correct Answer)
+2
-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
A
$\frac{\left|I_A\right|}{\left|I_{a d}\right|}=\frac{1}{2 \sqrt{3}}$ and $I_{a d}$ lags $I_A$ by $30^{\circ}$
B
$\frac{\left|I_A\right|}{\left|I_{a d}\right|}=\frac{1}{2 \sqrt{3}}$ and $I_{a d}$ leads $I_A$ by $30^{\circ}$
C
$\frac{\left|I_A\right|}{\left|I_{a d}\right|}=2 \sqrt{3}$ and $I_{a d}$ lags $I_A$ by $30^{\circ}$
D
$\frac{\left|I_A\right|}{\left|I_{a d}\right|}=2 \sqrt{3}$ and $I_{a d}$ leads $I_A$ by $30^{\circ}$
4
GATE EE 2025
MCQ (More than One Correct Answer)
+2
-0
Consider two coupled circuits having self inductances $L_1$ and $L_2$ that carry non-zero currents $I_1$ and $I_2$ respectively. The mutual inductance between the circuit is $M$ with unity coupling coefficient. The stored magnetic energy of the coupled circuit is minimum at which of the following value(s) of $I_1 / I_2$ ?
A
$-\frac{M}{L_1}$
B
$-\frac{M}{L_2}$
C
$-\frac{L_1}{M}$
D
$-\frac{L_2}{M}$
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12