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

Let $\hat{i}$ and $\hat{j}$ be the unit vectors along $x$ and $y$ axes, respectively and let $A$ be a positive constant. Which one of the following statements is true for the vector fields $\vec{F}_1 = A(\hat{i}y + \hat{j}x)$ and $\vec{F}_2 = A(\hat{i}y − \hat{j}x)$?

A

Both $\vec{F}_1$ and $\vec{F}_2$ are electrostatic fields.

B

Only $\vec{F}_1$ is an electrostatic field.

C

Only $\vec{F}_2$ is an electrostatic field.

D

Neither $\vec{F}_1$ nor $\vec{F}_2$ is an electrostatic field.

2
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33

In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is 2sin(t + $$\pi$$/2). The displacement current (in Amperes) through the capacitor is __________.

A
2sin(t)
B
2sin(t + $$\pi$$)
C
2sin(t + $$\pi$$/2)
D
0
3
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Two conducting spheres S1 and S2 of radii a and b (b>a) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure. GATE ECE 2017 Set 2 Electromagnetics - Maxwell Equations Question 35 English

For some charge placed on this structure, the potential and surface electric field on S1 are Va and Ea , and that on S2 are Vb and Eb, respectively, which of the following is CORRECT?

A
Va = Vb and Ea < Eb
B
Va > Vb and Ea > Eb
C
Va = Vb and Ea > Eb
D
Va > Vb and Ea = Eb
4
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Faraday's law of electromagnetic induction is mathematically described by which one of the following equations?
A
$$\nabla \bullet \,\mathop B\limits^ \to = \,0$$
B
$$\nabla \bullet \,\mathop D\limits^ \to = \,{\rho _v}$$
C
$$\nabla \, \times \,\mathop E\limits^ \to = \, - {{\partial \,\mathop B\limits^ \to \,} \over {\partial t}}$$
D
$$\nabla \, \times \,\mathop H\limits^ \to = \,\sigma \mathop E\limits^ \to + {{\partial \,\mathop D\limits^ \to \,} \over {\partial t}}$$
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics