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1161
GATE Electrical 2016 Set 1 | Question: 15
$R_{A}$ and $R_{B}$ are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is TRUE? $R_{A}=R_{B}$ $R_{A}=R_{B}=0$ $R_{A}< R_{B}$ $R_{B}= R_{A} /(1+R_{A})$
$R_{A}$ and $R_{B}$ are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
circuit-reduction
series-combination
parallel-combination
+
–
0
votes
0
answers
1162
GATE Electrical 2016 Set 1 | Question: 9
The value of $\int_{-\infty}^{+\infty} e^{-t} \delta (2t-2){d}t$, where $\delta (t)$ is the Dirac delta function, is $\dfrac{1}{2e} \\$ $\dfrac{2}{e} \\$ $\dfrac{1}{e^{2}} \\$ $\dfrac{1}{2e^{2}}$
The value of $\int_{-\infty}^{+\infty} e^{-t} \delta (2t-2){d}t$, where $\delta (t)$ is the Dirac delta function, is$\dfrac{1}{2e} \\$$\dfrac{2}{e} \\$$\dfrac{1}{e^{2}} \...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-1
calculus
definite-integral
+
–
0
votes
0
answers
1163
GATE Electrical 2016 Set 1 | Question: 7
The phase cross-over frequency of the transfer function $G(s)=\dfrac{100}{(s+1)^{3}}$ in rad/s is $\sqrt{3} \\$ $\dfrac{1}{\sqrt{3}} \\$ $3 \\$ $3\sqrt{3}$
The phase cross-over frequency of the transfer function $G(s)=\dfrac{100}{(s+1)^{3}}$ in rad/s is$\sqrt{3} \\$$\dfrac{1}{\sqrt{3}} \\$$3 \\$$3\sqrt{3}$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-1
mathematical-representation
cross-over-frequency
180-phase-shift
bode-stability-criteria
+
–
0
votes
0
answers
1164
GATE Electrical 2016 Set 1 | Question: 13
In cylindrical coordinate system, the potential produced by a uniform ring charge is given by $\phi = f(r, z)$ where $f$ is a continuous function of $r$ and $z$. Let $\overrightarrow{E}$ be the resulting electric field. Then the magnitude of $\nabla \times \overrightarrow{E}$ Increases with $r$ Is $0$. Is $3$. Decreases with $z$.
In cylindrical coordinate system, the potential produced by a uniform ring charge is given by $\phi = f(r, z)$ where $f$ is a continuous function of $r$ and $z$. Let $\ov...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-1
electromagnetic-theory
magneto-motive-force
amperes-law
+
–
0
votes
0
answers
1165
GATE Electrical 2016 Set 1 | Question: 6
The transfer function of a system is $\dfrac{Y(s)}{R(s)}=\dfrac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of $A$ and $\phi$ respectively are $\dfrac{1}{\sqrt{2}}, -45^\circ$ $\dfrac{1}{\sqrt{2}}, +45^\circ$ $\sqrt{2}, -45^\circ$ $\sqrt{2}, +45^\circ$
The transfer function of a system is $\dfrac{Y(s)}{R(s)}=\dfrac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-1
laplace-transform
convolution-integral
feed-back-transfer-function
+
–
0
votes
0
answers
1166
GATE Electrical 2016 Set 1 | Question: 18
In the given circuit, the current supplied by the battery, in ampere, is ________.
In the given circuit, the current supplied by the battery, in ampere, is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
voltage-divider
dependent-current-source
superposition
numerical-answers
+
–
2
votes
0
answers
1167
GATE Electrical 2016 Set 1 | Question: 11
Consider the following circuit which uses a $2$-to-$1$ multiplexer as shown in the figure below. The Boolean expression for output $F$ in terms of $A$ and $B$ is $A\oplus B$ $\overline{A+B}$ $A+B$ $\overline{A \oplus B}$
Consider the following circuit which uses a $2$-to-$1$ multiplexer as shown in the figure below. The Boolean expression for output $F$ in terms of $A$ and $B$ is$A\oplus ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-1
analog-and-digital-electronics
combinational-circuits
multiplexer
+
–
0
votes
0
answers
1168
GATE Electrical 2016 Set 1 | Question: 8
Consider a continuous-time system with input $x(t)$ and output $y(t)$ given by $y(t)=x(t) \cos (t)$. This system is Linear and time-invariant Non-linear and time-invariant Linear and time-varying Non-linear and time-varying
Consider a continuous-time system with input $x(t)$ and output $y(t)$ given by $y(t)=x(t) \cos (t)$.This system isLinear and time-invariantNon-linear and time-invariantLi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
sampling-theorem
scaling-properties
causal-system
+
–
0
votes
0
answers
1169
GATE Electrical 2016 Set 1 | Question: 12
A transistor circuit is given below. The Zener diode breakdown voltage is $5.3$ V as shown. Take base to emitter voltage drop to be $0.6$ V. The value of the current gain $\beta$ is _________.
A transistor circuit is given below. The Zener diode breakdown voltage is $5.3$ V as shown. Take base to emitter voltage drop to be $0.6$ V. The value of the current gain...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-1
semi-conductor-devices
reverse-saturation-mode
voltage-divider
numerical-answers
+
–
0
votes
0
answers
1170
GATE Electrical 2016 Set 1 | Question: 14
A soft-iron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of soft-iron is $100$, the ratio of the magnetic flux densities at two adjacent points located just inside and just outside the toroid, is ________.
A soft-iron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of soft-iron is $100$, the ratio of ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-1
current-carrying-conductor
electromagnetism
faradays-law
numerical-answers
+
–
0
votes
0
answers
1171
GATE Electrical 2016 Set 1 | Question: 5
The value of the integral $\oint _{c}\dfrac{2z+5}{\left ( z-\dfrac{1}{2} \right ) \left (z^{2} -4z+5 \right )}dz$ over the contour $\mid z \mid=1$, taken in the anti-clockwise direction, would be $\dfrac{24 \pi i}{13} \\$ $\dfrac{48 \pi i}{13} \\$ $\dfrac{24}{13} \\$ $\dfrac{12}{13}$
The value of the integral$$\oint _{c}\dfrac{2z+5}{\left ( z-\dfrac{1}{2} \right ) \left (z^{2} -4z+5 \right )}dz$$over the contour $\mid z \mid=1$, taken in the anti-cloc...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-1
calculus
definite-integral
+
–
0
votes
0
answers
1172
GATE Electrical 2016 Set 1 | Question: 4
A function $y(t)$, such that $y(0)=1$ and $y(1)=3e^{-1}$, is a solution of the differential equation $\dfrac{d^{2}y}{dt^{2}}+2\dfrac{dy}{dt}+y=0$. Then $y(2)$ is $5e^{-1}$ $5e^{-2}$ $7e^{-1}$ $7e^{-2}$
A function $y(t)$, such that $y(0)=1$ and $y(1)=3e^{-1}$, is a solution of the differential equation$\dfrac{d^{2}y}{dt^{2}}+2\dfrac{dy}{dt}+y=0$. Then $y(2)$ is$5e^{-1}$$...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Differential Equations
gate2016-ee-1
differential-equations
+
–
0
votes
0
answers
1173
GATE Electrical 2016 Set 1 | Question: 1
The maximum value attained by the function. $f(x) = x(x-1) (x-2)$ in the interval $[1, 2]$ is ___________.
The maximum value attained by the function. $f(x) = x(x-1) (x-2)$ in the interval $[1, 2]$ is ___________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-1
calculus
maxima-minima
numerical-answers
+
–
0
votes
0
answers
1174
GATE Electrical 2016 Set 1 | Question: 2
Consider a $3 \times 3$ matrix with every element being equal to $1$. Its only non-zero eigenvalue is ________.
Consider a $3 \times 3$ matrix with every element being equal to $1$. Its only non-zero eigenvalue is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Linear Algebra
gate2016-ee-1
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
1175
GATE Electrical 2016 Set 1 | Question: 3
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\dfrac{5}{s^{2}-4s+29} \\ $ $\dfrac{5}{s^{2}+5} \\ $ $\dfrac{s-2}{s^{2}-4s+29} \\$ $\dfrac{5}{s +5}$
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\dfrac{5}{s^{2}-4s+29} \\ $$\dfrac{5}{s^{2}+5} \\ $$\dfrac{s-2}{s^{2}-4s+29} \\$$\dfrac{5}{s +5}$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
unit-step-function
fourier-transform
shifting-theorems
+
–
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