GATE ECE 2024 | Maxwell Equations Question 1 | Electromagnetics

GATE ECE 2024

MCQ (Single Correct Answer)

-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 $\vec{F}_2 = A(\hat{i}y − \hat{j}x)$?

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

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

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

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

GATE ECE 2022

MCQ (Single Correct Answer)

-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 __________.

2sin(t)

2sin(t + $$\pi$$)

2sin(t + $$\pi$$/2)

GATE ECE 2017 Set 2

MCQ (Single Correct Answer)

-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 33 English

GATE ECE 2017 Set 2 Electromagnetics - Maxwell Equations Question 33 English

For some charge placed on this structure, the potential and surface electric field on S1 are V_a and E_a , and that on S2 are V_b and E_b, respectively, which of the following is CORRECT?

V_a = V_b and E_a < E_b

V_a > V_b and E_a > E_b

V_a = V_b and E_a > E_b

V_a > V_b and E_a = E_b

GATE ECE 2016 Set 2

MCQ (Single Correct Answer)

-0.3

A uniform and constant magnetic field $$B=\widehat zB$$ exists in the $$\widehat z$$ direction in vacuum. A particle of mass m with a small charge q is introduced into this region with an initial velocity $$v=\widehat xv_x+\widehat zv_z$$. Given that B, m, q, v_x and v_z are all non-zero, which one of the following describes the eventual trajectory of the particle?

Helical motion in the $$\widehat z$$ direction.

Circular motion in the xy plane.

Linear motion in the $$\widehat z$$ direction.

Linear motion in the $$\widehat x$$ direction.