Recent questions tagged gate2014-ec-2 / GO Electronics

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41

GATE ECE 2014 Set 2 | Question: 31
In the h-parameter model of the $2$-port network given in the figure shown, the value of $h_{22}$ (in S) is ______ .

In the h-parameter model of the $2$-port network given in the figure shown, the value of $h_{22}$ (in S) is ______ .

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42

GATE ECE 2014 Set 2 | Question: 32
In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current $I(t)$ (in mA) for $t > 0$? $I(t)= \frac{5}{3}(1-e^{-t/ \tau}), \tau= \frac{2}{3} \text{msec} \\$ ... $I(t)= \frac{5}{2}(1-e^{-t/\tau}), \tau= 3 \text{msec}$

In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current $I(t)$ (in mA) for $t 0$? $I(t)= ...

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43

GATE ECE 2014 Set 2 | Question: 33
In the magnetically coupled circuit shown in the figure, $56 \%$ of the total flux emanating from one coil links the other coil. The value of the mutual inductance (in H) is ____ .

In the magnetically coupled circuit shown in the figure, $56 \%$ of the total flux emanating from one coil links the other coil. The value of the mutual inductance (in H)...

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44

GATE ECE 2014 Set 2 | Question: 34
Assume electronic charge $q= 1.6 \times 10^{-19} \: C$, $kT/q=25 \: mV$ and electron mobility $\mu_{n}= 1000cm^{2}/ V-s$. If the concentration gradient of electrons injected into a $P$-type silicon sample is $ 1 \times 10^{21}/cm^{4}$, the magnitude of electron diffusion current density (in $A/cm^{2}$) is _________ .

Assume electronic charge $q= 1.6 \times 10^{-19} \: C$, $kT/q=25 \: mV$ and electron mobility $\mu_{n}= 1000cm^{2}/ V-s$. If the concentration gradient of electrons injec...

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45

GATE ECE 2014 Set 2 | Question: 35
Consider an abrupt PN junction (at $T = 300 K$) shown in the figure. The depletion region width $X_{n}$ on the $N$-side of the junction is $0.2 \mu m$ and the permittivity of silicon $( \varepsilon _{gi} )$ is $1.044 \times 10^{-12} \: F/cm$. At the junction, the approximate value of the peak electric field (in $kV/cm$) is ___________.

Consider an abrupt PN junction (at $T = 300 K$) shown in the figure. The depletion region width $X_{n}$ on the $N$-side of the junction is $0.2 \mu m$ and the permittivit...

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46

GATE ECE 2014 Set 2 | Question: 36
When a silicon diode having a doping concentration of $N_{A}= 9\times 10^{16}cm^{-3}$ on $p$-side and $N_{D}= 1 \times 10^{16}cm^{-3}$ on $n$-side is reverse biased, the total depletion width is found to be $3 \mu$ ... $0.3 \mu m$ and $0.42 \times 10^{5} V/cm$ $2.1 \mu m$ and $0.42 \times 10^{5} V/cm$

When a silicon diode having a doping concentration of $N_{A}= 9\times 10^{16}cm^{-3}$ on $p$-side and $N_{D}= 1 \times 10^{16}cm^{-3}$ on $n$-side is reverse biased, the...

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47

GATE ECE 2014 Set 2 | Question: 37
The diode in the circuit shown has $V_{on}$= 0.7$ Volts but is ideal otherwise. If $V_{i}= 5 \sin ( \omega t )$Volts, the minimum and maximum values of $V_{o}$ (in Volts ) are, respectively, $-5$ and $2.7$ $2.7$ and $5$ $-5$ and $3.85$ $1.3$ and $5$

The diode in the circuit shown has $V_{on}$$= 0.7$ Volts but is ideal otherwise. If $V_{i}= 5 \sin ( \omega t )$Volts, the minimum and maximum values of $V_{o}$ (in Volts...

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48

GATE ECE 2014 Set 2 | Question: 38
For the n-channel MOS transistor shown in the figure, the threshold voltage $V_{Th}$ is $0.8$ V. Neglect channel length modulation effects. When the drain voltage $V_{D}= 1.6 V,$ the drain current $I_{D}$ was found to be $0.5$ mA. If $V_{D}$is adjusted to be $2$ V ... the values of R and $V_{DD}$, the new value of $I_{D}$ (in mA) is $0.625$ $0.75$ $1.125$ $1.5$

For the n-channel MOS transistor shown in the figure, the threshold voltage $V_{Th}$ is $0.8$ V. Neglect channel length modulation effects. When the drain voltage $V_{D}=...

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49

GATE ECE 2014 Set 2 | Question: 39
For the MOSFETs shown in the figure, the threshold voltage $\mid V_{t} \mid= 2$ V and $K= \frac{1}{2}\mu C_{ox} ( \frac{W}{L} ) = 0.1 \: mA/V^{2}$. The value of $I_{D}$ (in mA) is _______________ .

For the MOSFETs shown in the figure, the threshold voltage $\mid V_{t} \mid= 2$ V and $K= \frac{1}{2}\mu C_{ox} ( \frac{W}{L} ) = 0.1 \: mA/V^{2}$. The value of $I_{D}$ ...

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50

GATE ECE 2014 Set 2 | Question: 40
In the circuit shown, choose the correct timing diagram of the output (y) from the given waveforms $W1$, $W2$, $W3$ and $W4$. $W1$ $W2$ $W3$ $W4$

In the circuit shown, choose the correct timing diagram of the output (y) from the given waveforms $W1$, $W2$, $W3$ and $W4$. ...

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51

GATE ECE 2014 Set 2 | Question: 41
The outputs of the two flip-flops $Q1$, $Q2$ in the figure shown are initialized to $0,0$. The sequence generated at $Q1$ upon application of clock signal is $01110 \dots$ $01010\dots$ $00110\dots$ $01100\dots$

The outputs of the two flip-flops $Q1$, $Q2$ in the figure shown are initialized to $0,0$. The sequence generated at $Q1$ upon application of clock signal is $01110 \dots...

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52

GATE ECE 2014 Set 2 | Question: 42
For the $8085$ microprocessor, the interfacing circuit to input $8$-bit digital data $( DI_{0}-DI_{7})$ from an external device is shown in the figure. The instruction for correct data transfer is $\text{MVI A, F8H}$ $\text{IN F8H}$ $\text{OUT F8H}$ $\text{LDA F8F8H}$

For the $8085$ microprocessor, the interfacing circuit to input $8$-bit digital data $( DI_{0}-DI_{7})$ from an external device is shown in the figure. The instruction fo...

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53

GATE ECE 2014 Set 2 | Question: 43
Consider a discrete-time signal $ x[n]= \begin{cases} n & \text{for } 0\leq n\leq 10 \\ 0 & \text{otherwise }\end{cases}$ If $y[n]$ is the convolution of $x[n]$ with itself, the value of $y[4]$ is _______ .

Consider a discrete-time signal $$ x[n]= \begin{cases} n & \text{for } 0\leq n\leq 10 \\ 0 & \text{otherwise }\end{cases}$$ If $y[n]$ is the convolution of $x[n]$ with it...

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54

GATE ECE 2014 Set 2 | Question: 44
The input-output relationship of a causal stable LTI system is given as $y[n] = \alpha \: y[n-1] + \beta \: x[n]$. If the impulse response $h[n]$ of this system satisfies the condition $\sum_{n=0}^{\infty}h[n]= 2$, the relationship between $\alpha$ and $\beta$ is $\alpha = 1-\beta /2$ $\alpha = 1+\beta /2$ $\alpha = 2\beta$ $\alpha = -2\beta$

The input-output relationship of a causal stable LTI system is given as $$y[n] = \alpha \: y[n-1] + \beta \: x[n]$$. If the impulse response $h[n]$ of this system satisf...

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55

GATE ECE 2014 Set 2 | Question: 45
The value of the integral $\int_{-\infty }^{\infty } \text{sinc}^{2}(5t) \: dt$ is _______.

The value of the integral $\int_{-\infty }^{\infty } \text{sinc}^{2}(5t) \: dt$ is _______.

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56

GATE ECE 2014 Set 2 | Question: 46
An unforced linear time invariant (LTI) system is represented by $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0& -2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$ If the initial conditions are $x_1(0)= 1$ and $x_2(0)= -1$, the solution of the ... $x_{1}(t)= -e^{-t}, \: x_{2}(t)= -2e^{-t}$

An unforced linear time invariant (LTI) system is represented by $$\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0& -2 \end{bmatrix} \begin{bmatrix...

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57

GATE ECE 2014 Set 2 | Question: 47
The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure. If the system is connected in a unity negative feedback configuration, the steady state error of the closed loop system, to a unit ramp input, is _________.

The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure. If the syste...

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58

GATE ECE 2014 Set 2 | Question: 48
Consider the state space system expressed by the signal flow diagram shown in the figure. The corresponding system is always controllable always observable always stable always unstable

Consider the state space system expressed by the signal flow diagram shown in the figure. The corresponding system isalways controllablealw...

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59

GATE ECE 2014 Set 2 | Question: 49
The input to a $1$ – bit quantizer is a random variable $X$ with pdf $f_{X}( x )= 2e^{-2x}$ for $x\geq 0$ and $f_{X} (x )= 0$ for $x< 0$. For outputs to be of equal probability, the quantizer threshold should be ______.

The input to a $1$ – bit quantizer is a random variable $X$ with pdf $f_{X}( x )= 2e^{-2x}$ for $x\geq 0$ and $f_{X} (x )= 0$ for $x< 0$. For outputs to be of equal pro...

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60

GATE ECE 2014 Set 2 | Question: 50
Coherent orthogonal binary FSK modulation is used to transmit two equiprobable symbol waveforms $s_{1}( t )= \alpha \cos 2\pi f_1 t$, and $s_2(t) = \alpha \cos 2 \pi f_2 t$ where $\alpha = 4$ ... error probability for a data rate of $500$ kbps is $Q(2)$ $Q(2\sqrt{2})$ $Q(4)$ $Q(4\sqrt{2})$

Coherent orthogonal binary FSK modulation is used to transmit two equiprobable symbol waveforms $s_{1}( t )= \alpha \cos 2\pi f_1 t$, and $s_2(t) = \alpha \cos 2 \pi f_2...

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61

GATE ECE 2014 Set 2 | Question: 51
The power spectral density of a real stationary random process $X(t)$ is given by $ S_X (f) = \begin{cases} \frac{1}{W}, & \mid f \mid \leq W \\ 0, & \mid f \mid > W \end{cases}$ The value of the expectation $E \left [ \pi X(t)X\left ( t-\frac{1}{4W} \right ) \right ]$ is __________.

The power spectral density of a real stationary random process $X(t)$ is given by $$ S_X (f) = \begin{cases} \frac{1}{W}, & \mid f \mid \leq W \\ 0, & \mid f \mid W \e...

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62

GATE ECE 2014 Set 2 | Question: 52
In the figure, $M(f)$ is the Fourier transform of the message signal $m(t)$ where $A = 100$ Hz and $B = 40$ Hz. Given $v(t)= \cos (2\pi f_{c}t)$ and $w(t)= \cos (2\pi (f_{c}+A)t)$, where $f_{c}>A$. The cutoff frequencies of both the filters are $f_{c}$. The bandwidth of the signal at the output of the modulater (in Hz) is ______.

In the figure, $M(f)$ is the Fourier transform of the message signal $m(t)$ where $A = 100$ Hz and $B = 40$ Hz. Given $v(t)= \cos (2\pi f_{c}t)$ and $w(t)= \cos (2\pi (f_...

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63

GATE ECE 2014 Set 2 | Question: 53
If the electric field of a plane wave is $\overrightarrow{E}(z,t)= \hat{x}3 \cos(\omega t-kz+30^{\circ}) – \hat{y} 4 \sin(\omega t – kz+45^{\circ}) (mV/m),$ the polarization state of the plane wave is left elliptical left circular right elliptical right circular

If the electric field of a plane wave is $$\overrightarrow{E}(z,t)= \hat{x}3 \cos(\omega t-kz+30^{\circ}) – \hat{y} 4 \sin(\omega t – kz+45^{\circ}) (mV/m),$$ the pol...

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64

GATE ECE 2014 Set 2 | Question: 54
In the transmission line shown, the impedance $Z_{\text{in}}$ (in ohms) between node A and the ground is _________.

In the transmission line shown, the impedance $Z_{\text{in}}$ (in ohms) between node A and the ground is _________.

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65

GATE ECE 2014 Set 2 | Question: 55
For a rectangular waveguide of internal dimension $a\times b \: (a> b)$, the cut-off frequency for the $TE_{11}$ mode is the arithmetic mean of the cut-off frequencies for $TE_{10}$ mode and $TE_{20}$ mode. If $a= \sqrt{5}$ cm, the value of $b$ (in cm) is ______.

For a rectangular waveguide of internal dimension $a\times b \: (a b)$, the cut-off frequency for the $TE_{11}$ mode is the arithmetic mean of the cut-off frequencies for...

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