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2121
GATE ECE 2016 Set 2 | Question: 11
The Ebers-Moll model of a $BJT$ is valid only in active mode only in active and saturation modes only in active and cut-off modes in active, saturation and cut-off modes
The Ebers-Moll model of a $BJT$ is valid only in active modeonly in active and saturation modesonly in active and cut-off modesin active, saturation and cut-off modes
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2123
GATE ECE 2016 Set 2 | Question: 13
Assume that the diode in the figure has $V_{on}=0.7 \:V$, but it otherwise ideal. The magnitude of the current $i_{2}$ in mA) is equal to _________
Assume that the diode in the figure has $V_{on}=0.7 \:V$, but it otherwise ideal. The magnitude of the current $i_{2}...
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2129
GATE ECE 2016 Set 2 | Question: 19
The response of the system $G(s)=\frac{s-2}{(s+1)(s+3)}$ to the unit step input $u(t)$ is $y(t)$. The value of $\frac{dy}{dt}$ at $t=0^{+}$ is _________
The response of the system $G(s)=\frac{s-2}{(s+1)(s+3)}$ to the unit step input $u(t)$ is $y(t)$. The value of $\frac{dy}{dt}$ at $t=0^{+}$ is _________
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2130
GATE ECE 2016 Set 2 | Question: 20
The number and direction of encirclements around the point $-1+j0$ in the complex plane by the Nyquist plot of $G(s)=\frac{1-s}{4+2s}$ is zero. one,anti-clockwise. one, clockwise. two, clockwise.
The number and direction of encirclements around the point $-1+j0$ in the complex plane by the Nyquist plot of $G(s)=\frac{1-s}{4+2s}$ iszero.one,anti-clockwise.one, cloc...
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2137
GATE ECE 2016 Set 2 | Question: 27
Suppose $C$ is the closed curve defined as the circle $x^{2}+y^{2}=1$ with $C$ oreinted anti-clockwise. The value of $\oint$ ( $xy^{2}$ $dx$ + $ x^{2}y$ $dy$ )over the curve $C$ equals _________
Suppose $C$ is the closed curve defined as the circle $x^{2}+y^{2}=1$ with $C$ oreinted anti-clockwise. The value of $\oint$ ( $xy^{2}$ $dx$ + $ x^{2}y$ $dy$ )over the cu...
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2139
GATE ECE 2016 Set 2 | Question: 29
The matrix $A=\begin{bmatrix} a & 0 &3 &7 \\ 2& 5&1 &3 \\ 0& 0& 2 &4 \\ 0&0 & 0 &b \end{bmatrix}$ has $\text{det}(A) = 100$ and $\text{trace}(A) = 14$. The value of $\mid a-b \mid$ is ________
The matrix $A=\begin{bmatrix} a & 0 &3 &7 \\ 2& 5&1 &3 \\ 0& 0& 2 &4 \\ 0&0 & 0 &b \end{bmatrix}$ has $\text{det}(A) = 100$ and $\text{trace}(A) = 14$. The value of $\mid...
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2140
GATE ECE 2016 Set 2 | Question: 30
In the given circuit, each resistor has a value equal to $1\Omega$. What is the equivalent resistance across the terminals $a$ and $b$? $1/6 \: \Omega$ $1/3 \: \Omega$ $9/20 \: \Omega$ $8/15 \: \Omega$
In the given circuit, each resistor has a value equal to $1\Omega$. What is the equivalent resistance across the terminals $a$...
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2141
GATE ECE 2016 Set 2 | Question: 31
In the circuit shown in the figure, the magnitude of the current (in amperes) through $R_{2}$ is ____
In the circuit shown in the figure, the magnitude of the current (in amperes) through $R_{2}$ is ____
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2146
GATE ECE 2016 Set 2 | Question: 36
Consider avalanche breakdown in a silicon $p^{+}n$ junction. The $n$-region is uniformly doped with a donor density $N_{D}.$ ... $N_{D}\times {V_{BR}}= \text{constant}$ $N_{D}/{V_{BR}}= \text{constant}$
Consider avalanche breakdown in a silicon $p^{+}n$ junction. The $n$-region is uniformly doped with a donor density $N_{D}.$ Assume that breakdown occurs when the magnitu...
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2157
GATE ECE 2016 Set 2 | Question: 47
The asymptotic Bode phase plot of $G\left ( s \right )=\frac{k}{\left ( s+0.1 \right )\left ( s+10 \right )\left ( s+p_{1} \right )},$ with $k$ and $p_{1}$ both positive, is shown below. The value of $p_{1}$ is _______
The asymptotic Bode phase plot of $G\left ( s \right )=\frac{k}{\left ( s+0.1 \right )\left ( s+10 \right )\left ( s+p_{1} \right )},$ with $k$ and $p_{1}$ both positive,...
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2160
GATE ECE 2016 Set 2 | Question: 50
Consider a random process $X\left ( t \right )=3V(t)-8,$ where $V(t)$ is a zero mean stationary random process with autocorrelation $R_{v}\left ( \tau \right )=4e^{-5\mid \tau \mid}.$ The power in $X(t)$ is _________
Consider a random process $X\left ( t \right )=3V(t)-8,$ where $V(t)$ is a zero mean stationary random process with autocorrelation $R_{v}\left ( \tau \right )=4e^{-5\mid...
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