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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
2
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
3
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
$$\nabla \, \times \,\mathop H\limits^ \to = \,\sigma \mathop E\limits^ \to + {{\partial \,\mathop D\limits^ \to \,} \over {\partial t}}$$
4
GATE ECE 2016 Set 2
Numerical
+1
-0
Consider the time-varying vector $$I = \,\hat x\,\,15\,\cos \,(\omega \,t) + \,\hat y\,5\,sin(\omega \,t)$$ in Cartesian coordinates, where $$\omega $$ > 0 is a constant. When the vector magnitude $$\left| I \right|$$ is at its minimum value, the angle $$\theta $$ that I makes with the x axis (in degree, such that $$0\, \le \,0 \le \,180$$) is _________________
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