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GATE2020EE54
An $8085$ microprocessor acesses two memory locations $\text{(2001H)}$ and $\text{(2002H)}$, that contain $8$bit numbers $\text{98H}$ and $\text{B1H}$, respectively. The following program is executed: $\text{LXI H,2001H}$ $\text{MVI A, 21 H}$ ... $\text{2003H}$ contains the number in decimal $\text{(base 10)}$ form _____________.
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Feb 28
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gate2020ee
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2
GATE2020EE49
A cylindrical rotor synchronous generator has steady state synchronous reactance of $\text{0.7 pu}$ and subtransient reactance of $\text{0.2 pu}$. It is operating at $\left ( 1+j0 \right )$ $\text{pu}$ terminal voltage with an internal $\text{emf}$ ... generator, the magnitude of the subtransient internal $\text{emf}$ (rounded off to $2$ decimal places) is ____________ $\text{pu}$.
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3
GATE2020EE47
Bus 1 with voltage magnitude $\text{$V_{1}=1.1$ pu}$ is sending reactive power $Q_{12}$ towards bus 2 with voltage magnitude $\text{$V_{2}=1$ pu}$ through a lossless transmission line of reactance $X$. Keeping the voltage at bus $2$ ... value of the voltage magnitude, $V_{1}$, in $\text{pu}$ ( rounded off to $2$ decimal places), at bus $1$ is___________________.
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gate2020ee
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4
GATE2020EE40
Let $a_{r},\:a_{\phi }\:and\:a_{z}$ be unit vectors along $r,\:\phi\:and\:z$ directions, respectively in the cylindrical coordinate system. For the electric flux density given by $D=\left ( a_{r}15+a_{\phi } 2r  a_{z} 3rz \right )\:Coulomb/m^{2}$, the total electric ... $\text{z}$axis with its base at the origin is: $54\:\pi$ $90\:\pi$ $108\:\pi$ $180\:\pi$
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Feb 28
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gate2020ee
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5
GATE2020EE38
The causal realization of a system transfer function $\text{H(s)}$ having poles at $(2,1), (2,1)$ and zeroes at $(2,1), (2,1)$ will be stable, real, allpass unstable, complex, allpass unstable, real, highpass stable, complex, lowpass
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6
GATE2020EE33
The static electric field inside a dielectric medium with relative permittivity, $\varepsilon _{r}=2.25$, expressed in cylindrical coordinate system is given by the following expression $E=a_{r}2r+a_{\varphi }\left ( \frac{3}{r} \right )+a_{z}6$ ... $3\varepsilon _{0}$ $4\varepsilon _{0}$ $5\varepsilon _{0}$ $9\varepsilon _{0}$
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7
GATE2020EE52
A nonideal $\text{Si}$based $\text{pn}$ junction diode is tested by sweeping the bias applied across its terminals from $5\:V\:to\:+5\:V$ . The effective thermal voltage, $V_{T}$, for the diode is measured to be $( 29\pm 2)mV$ . The ... . The percentage uncertainty (rounded off to $2$ decimal places) in the measured current at a bias voltage of $\text{0.02 V}$ is ____________.
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Feb 28
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8
GATE2020EE45
A resistor and a capacitor are connected in series to a $\text{10 V dc}$ supply through a switch. The switch is closed at $\text{t = 0}$, and the capacitor voltage is found to cross $\text{0 V}$ at $t=0.4\tau$, where $\tau$ is the ... in the initial capacitor voltage if the zero crossing has to happen at $t=0.2\tau$ is _______________________ (rounded off to $2$ decimal places).
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9
GATE2020EE44
Let $a_{x}$ and $a_{y}$ be unit vectors along $x$ and $y$ directions, respectively. A vector function is given by $F=a_{x}ya_{y}x$ The line integral of the above function $\int _{C}F.dl$ along the curve $\textbf{C}$, which follows the parabola $y=x^{2}$ as shown below is ___________ (rounded off to $2$ decimal places).
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Feb 28
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gate2020ee
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10
GATE2020EE43
The figure below shows the perphase Open Circuit Characteristics (measured in $\text{V}$) and Short Circuit Characteristics (measured in $\text{A}$) of a $\text{14 kVA}$, $\text{400 V}$, $\text{50 Hz}$, $4$pole, $3$phase, delta connected alternator, driven at $1500$ ... $2.100$ $2.025$ $2.000$ $1.000$
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Feb 28
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gate2020ee
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11
GATE2020EE39
Which of the following options is true for a linear timeinvariant discrete time system that obeys the difference equation: $y\left [ n \right ]ay\left [ n1 \right ]=b_{0}x\left [ n \right ]b_{1}x\left [ n1 \right ]$ $y[n]$ ... $y\left [ n \right];n > 0$ is solely determined by the function $x[n]$.
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Feb 28
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gate2020ee
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12
GATE2020EE50
In the $\text{dcdc}$ converter circuit shown, switch $\text{Q}$ is switched at a frequency of $\text{10 kHz}$ with a duty ratio of $0.6$. All components of the circuit are ideal, and the initial current in the inductor is zero. Energy stored in the inductor in $\text{mJ}$ (rounded off to $2$ decimal places) at the end of $10$ complete switching cycles is _________.
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Feb 28
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gate2020ee
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13
GATE2020EE46
A cylindrical rotor synchronous generator with constant real power output and constant terminal voltage is suppling $\text{100 A}$ current to a $0.9$ lagging power factor load. An ideal reactor is now connected in parallel with the load, as a result of ... the real power remains unchanged. The armature current is now ___________________ $\text{A}$ (rounded off to $2$ decimal places).
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14
GATE2020EE42
The number of purely real elements in a lower triangular representation of the given $3\times 3$ ... $5$ $6$ $8$ $9$
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Feb 28
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15
GATE2020EE41
A stable real linear timeinvariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\large\frac{s^{2}+100}{sp}$ with a $\text{dc}$ gain of $5$. The smallest positive frequency, in $\text{rad/s}$, at unity gain is closest to: $8.84$ $11.08$ $78.13$ $122.87$
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Feb 28
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1
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16
GATE2019 EE: 2
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are $4$ and $9$ $2$ and $3$ $2$ and $3$ $16$ and $81$
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Feb 12, 2019
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gate2019ee
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1
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17
GATE2019 EE: 24
The rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
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Feb 12, 2019
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Arjun
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gate2019ee
numericalanswers
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18
GATE2019 EE: 26
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{1}=\begin{bmatrix} u_1^T \\ u_2^T \end{bmatrix}$, where $u_1^T$ and $u_2^T$ are the row vecotrs. ... $2$ is false Statement $2$ is true and Statement $1$ is false Both the Statements are true Both the statements are false
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Feb 12, 2019
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gate2019ee
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19
GATE2019 EE: 33
The enhancement type MOSFET in the circuit below operates according to the square law. $\mu _nC_{ox} =100 \: \mu A /V^2$, the threshold voltage $(V_T)$ is $500$ mV. Ignore channel length modulation. The output voltage $V_{\text{out}}$ is $100$ mV $500$ mV $600$ mV $2$ V
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Feb 12, 2019
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gate2019ee
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20
GATE2019 EE: 5
The meansquare of a zeromean random process is $\frac{kT}{c},$ where $k$ is Boltzmann’s constant, $T$ is the absolute temperature, and $C$ is a capacitance. The standard deviation of the random process is $\frac{kT}{c} \\ $ $\sqrt{\frac{kT}{c}} \\ $ $\frac{c}{kT} \\ $ $\frac{\sqrt{kT}}{c}$
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Feb 12, 2019
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gate2019ee
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