1
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
In an N bit flash ADC, the analog voltage is fed simultaneously to 2N− 1 comparators. The output of the comparators is then encoded to a binary format using digital circuits. Assume that the analog voltage source Vin(whose output is being converted to digital format) has a source resistance of 75 Ω as shown in the circuit diagram below and the input capacitance of each comparator is 8 pF. The input must settle to an accuracy of 1/2 LSB even for a full scale input change for properconversion. Assume that the time taken by the thermometer to binary encoder is negligible. GATE ECE 2016 Set 2 Digital Circuits - Analog to Digital and Digital to Analog Converters Question 7 English If the flash ADC has 8 bit resolution, which one of the following alternatives is closest to the maximum sampling rate?
A
1 megasamples per second
B
6 megasamples per second
C
64 megasamples per second
D
256 megasamples per second
2
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.
3
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
4
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.
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