1
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+1
-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, vx and vz are all non-zero, which one of the following describes the eventual trajectory of the particle?
A
Helical motion in the $$\widehat z$$ direction.
B
Circular motion in the xy plane.
C
Linear motion in the $$\widehat z$$ direction.
D
Linear motion in the $$\widehat x$$ direction.
2
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The parallel-plate capacitor shown in the figure has movable plates. The capacitor is charged so that the energy stored in it is E when the plate separation is d. The capacitor is then isolated electrically and the plates are moved such that the plate separation becomes 2d. GATE ECE 2016 Set 2 Electromagnetics - Maxwell Equations Question 19 English

At this new plate separation, what is the energy stored in the capacitor, neglecting fringing effects?

A
2E
B
$$\sqrt2\mathrm E$$
C
E
D
E/2
3
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Let the electric field vector of a plane electromagnetic wave propagating in a homogenous medium be expressed as $$E = \widehat x{E_x}\,{e^{ - j\left( {wt - \beta z} \right)}},$$ , where the propagation constant $$\beta $$ is a function of the angular frequency $$\omega $$. Assume that $$\beta \left( \omega \right)$$ and $${E_x}$$ are known and are real. From the information available, which one of the following CANNOT be determined?
A
The type of polarization of the wave.
B
The group velocity of the wave.
C
The phase velocity of the wave.
D
The power flux through the z = 0 plane.
4
GATE ECE 2016 Set 2
Subjective
+2
-0
A microwave circuit consisting of lossless transmission lines $$T_1$$ and $$T_2$$ is shown in the figure. The plot shows the magnitude of the input reflection coefficient $$\Gamma $$ as a function of frequency f. The phase velocity of the signal in the transmission lines is $$2\, \times \,{10^8}$$ m/s GATE ECE 2016 Set 2 Electromagnetics - Transmission Lines Question 4 English 1 GATE ECE 2016 Set 2 Electromagnetics - Transmission Lines Question 4 English 2
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