GATE ECE 2022 | Maxwell Equations Question 4 | Electromagnetics

GATE ECE 2022

MCQ (Single Correct Answer)

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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)

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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

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 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 3

MCQ (Single Correct Answer)

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Faraday's law of electromagnetic induction is mathematically described by which one of the following equations?

$$\nabla \bullet \,\mathop B\limits^ \to = \,0$$

$$\nabla \bullet \,\mathop D\limits^ \to = \,{\rho _v}$$

$$\nabla \, \times \,\mathop E\limits^ \to = \, - {{\partial \,\mathop B\limits^ \to \,} \over {\partial t}}$$

$$\nabla \, \times \,\mathop H\limits^ \to = \,\sigma \mathop E\limits^ \to + {{\partial \,\mathop D\limits^ \to \,} \over {\partial t}}$$

GATE ECE 2016 Set 2

MCQ (Single Correct Answer)

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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.

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