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961
GATE Electrical 2016 Set 2 | Question: 44
A single-phase, $2$ kVA, $100/200$ V transformer is reconnected as an auto-transformer such that its $kVA$ rating is maximum. The new rating, in $kVA$, is ______.
A single-phase, $2$ kVA, $100/200$ V transformer is reconnected as an auto-transformer such that its $kVA$ rating is maximum. The new rating, in $kVA$, is ______.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
auto-transformer
rating
numerical-answers
+
–
0
votes
0
answers
962
GATE Electrical 2016 Set 2 | Question: 45
A full-bridge converter supplying an $RLE$ load is shown in figure. The firing angle of the bridge converter is $120$°. The supply voltage $v_{m}(t) =200\pi \sin (100\pi t) V, R=20\Omega, E=800 V$. The inductor $L$ is large ... output current $I_{L}$ a smooth dc current. Switches are lossless. The real power fed back to the source, in $kW$, is _________.
A full-bridge converter supplying an $RLE$ load is shown in figure. The firing angle of the bridge converter is $120$°. The supply voltage $v_{m}(t) =200\pi \sin (100\pi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-2
full-bridge-converter
firing-angle
numerical-answers
+
–
0
votes
0
answers
963
GATE Electrical 2016 Set 2 | Question: 46
A three-phase Voltage Source Inverter $(VSI)$ as shown in the figure is feeding a delta connected resistive load of $30 \Omega$/phase. If it is fed from a $600$ V battery, with $180$° conduction of solid-state devices, the power consumed by the load, in kW, is __________.
A three-phase Voltage Source Inverter $(VSI)$ as shown in the figure is feeding a delta connected resistive load of $30 \Omega$/phase. If it is fed from a $600$ V battery...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-2
voltage-source-inverter
solid-state-devices
numerical-answers
+
–
0
votes
0
answers
964
GATE Electrical 2016 Set 2 | Question: 47
A $DC-DC$ boost converter, as shown in the figure below, is used to boost $360$ V to $400$ V, at a power of $4$ kW. All devices are ideal. Considering continuous inductor current, the rms current in the solid state switch $(S)$, in ampere, is _________.
A $DC-DC$ boost converter, as shown in the figure below, is used to boost $360$ V to $400$ V, at a power of $4$ kW. All devices are ideal. Considering continuous inductor...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-2
boost-converter
inductor-current
numerical-answers
+
–
0
votes
0
answers
965
GATE Electrical 2016 Set 2 | Question: 40
At no load condition, a $3$-phase, $50$ Hz, lossless power transmission line has sending-end and receiving-end voltages of $400$ kV and $420$ kV respectively. Assuming the velocity of traveling wave to be the velocity of light, the length of the line, in km, is ____________.
At no load condition, a $3$-phase, $50$ Hz, lossless power transmission line has sending-end and receiving-end voltages of $400$ kV and $420$ kV respectively. Assuming th...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
lossless-power-transmission-line
traveling-wave
numerical-answers
+
–
0
votes
0
answers
966
GATE Electrical 2016 Set 2 | Question: 41
The power consumption of an industry is $500$ kVA, at $0.8$ p.f. lagging. A synchronous motor is added to raise the power factor of the industry to unity. If the power intake of the motor is $100$ kW, the p.f. of the motor is ___________.
The power consumption of an industry is $500$ kVA, at $0.8$ p.f. lagging. A synchronous motor is added to raise the power factor of the industry to unity. If the power in...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
synchronous-motor
power-factor
power-intake
numerical-answers
+
–
0
votes
0
answers
967
GATE Electrical 2016 Set 2 | Question: 43
The starting line current of a $415$ V, $3$-phase, delta connected induction motor is $120$ A, when the rated voltage is applied to its stator winding. The starting line current at a reduced voltage of $110$ V, in ampere, is __________.
The starting line current of a $415$ V, $3$-phase, delta connected induction motor is $120$ A, when the rated voltage is applied to its stator winding. The starting line ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical Machines
gate2016-ee-2
line-current
induction-motor
numerical-answers
+
–
0
votes
0
answers
968
GATE Electrical 2016 Set 2 | Question: 36
In the balanced $3$-phase, $50$ Hz, circuit shown below, the value of inductance $(L)$ is $10$ mH. The value of the capacitance $(C)$ for which all the line currents are zero, in millifarads, is ___________.
In the balanced $3$-phase, $50$ Hz, circuit shown below, the value of inductance $(L)$ is $10$ mH. The value of the capacitance $(C)$ for which all the line currents are ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
balanced-system
line
currents
numerical-answers
+
–
0
votes
0
answers
969
GATE Electrical 2016 Set 2 | Question: 37
In the circuit shown below, the initial capacitor voltage is $4 V$. Switch $S_{1}$ is closed at $t=0$. The charge (in $\mu C$) lost by the capacitor from $t=25 \mu s$ to $t=100 \mu s$ is _________.
In the circuit shown below, the initial capacitor voltage is $4 V$. Switch $S_{1}$ is closed at $t=0$. The charge (in $\mu C$) lost by the capacitor from $t=25 \mu s$ to ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-2
capacitor-voltage
series-circuit
numerical-answers
+
–
1
votes
0
answers
970
GATE Electrical 2016 Set 2 | Question: 38
The single line diagram of a balanced power system is shown in the figure. The voltage magnitude at the generator internal bus is constant and $1.0$ p.u. The p.u. reactances of different components in the system are ... transferred during the pre-fault condition to the maximum real power that can be transferred under the faulted condition is _________.
The single line diagram of a balanced power system is shown in the figure. The voltage magnitude at the generator internal bus is constant and $1.0$ p.u. The p.u. reactan...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
single-line-diagram
three-phase-fault
pre-fault-condition
numerical-answers
+
–
0
votes
0
answers
971
GATE Electrical 2016 Set 2 | Question: 39
The open loop transfer function of a unity feedback control system is given by $G(s)=\frac{k(s+1)}{s(1+Ts)(1+2S)'}, K > 0, T > 0.$ The closed loop system will be stable if $0 < T < \frac{4(K+1)}{K-1}$ $0 < K < \frac{4(T+2)}{T-2}$ $0 < K < \frac{T+2}{T-2}$ $0 < T < \frac{8(k+1)}{K-1}$
The open loop transfer function of a unity feedback control system is given by$G(s)=\frac{k(s+1)}{s(1+Ts)(1+2S)'}, K 0, T 0.$The closed loop system will be stable if$0 ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Control Systems
gate2016-ee-2
transfer-function
unity-feedback-control-system
+
–
0
votes
0
answers
972
GATE Electrical 2016 Set 2 | Question: 33
Let the probability density function of a random variable, $X$, be given as: $f_{x}(x)=\frac{3}{2}e^{-3x}u(x)+ae^{4x}u(-x)$ where u(x) is the unit step function. Then the value of 'a' and prob $\left\{X \leq 0\right\}$, respectively are $2, \frac{1}{2}$ $4, \frac{1}{2}$ $2, \frac{1}{4}$ $4, \frac{1}{4}$
Let the probability density function of a random variable, $X$, be given as:$f_{x}(x)=\frac{3}{2}e^{-3x}u(x)+ae^{4x}u(-x)$where u(x) is the unit step function.Then the va...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Probability & Statistics
gate2016-ee-2
probability-and-statistics
probability
random-variable
probability-density-function
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–
0
votes
0
answers
973
GATE Electrical 2016 Set 2 | Question: 34
The driving point input impedance seen from the source $V_{s}$ of the circuit shown below, in $\Omega$, is ______.
The driving point input impedance seen from the source $V_{s}$ of the circuit shown below, in $\Omega$, is ______.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-2
mesh-analysis
nodal-analysis
kvl
kcl
numerical-answers
+
–
0
votes
0
answers
974
GATE Electrical 2016 Set 2 | Question: 35
The $z$-parameters of the two port network shown in the figure are $z_{11}=40\Omega, z_{12}=60\Omega, z_{21}=80\Omega$ and $z_{22}=100\Omega$. The average power delivered to $R_{L}=20\Omega$, in watts, is ________.
The $z$-parameters of the two port network shown in the figure are $z_{11}=40\Omega, z_{12}=60\Omega, z_{21}=80\Omega$ and $z_{22}=100\Omega$. The average power delivered...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
average-power
network-analysis
numerical-answers
+
–
0
votes
0
answers
975
GATE Electrical 2016 Set 2 | Question: 29
The value of the integral $2\int_{-\infty}^{\infty} (\frac{\sin2\pi t}{\pi t}) \text{d}t$ is equal to $0$ $0.5$ $1$ $2$
The value of the integral $2\int_{-\infty}^{\infty} (\frac{\sin2\pi t}{\pi t}) \text{d}t$ is equal to$0$$0.5$ $1$$2$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-2
calculus
definite-integral
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–
0
votes
0
answers
976
GATE Electrical 2016 Set 2 | Question: 30
Let $y(x)$ be the solution of the differential equation $\frac{d^{2}y}{dx^{2}}-4\frac{dy}{dx}+4y=0$ with initial conditions $y(0)=0$ and $\frac{dy}{dx}\mid _{x=0}=1$ Then the value of $y(1)$ is _________.
Let $y(x)$ be the solution of the differential equation $\frac{d^{2}y}{dx^{2}}-4\frac{dy}{dx}+4y=0$ with initial conditions $y(0)=0$ and $\frac{dy}{dx}\mid _{x=0}=1$ Then...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Differential Equations
gate2016-ee-2
differential-equations
numerical-answers
+
–
0
votes
0
answers
977
GATE Electrical 2016 Set 2 | Question: 31
The line integral of the vector field $F=5xz \hat{i}+(3x^{2}+2y)\hat{j}+x^{2}z\hat{k}$ along a path from $(0,0,0)$ to $(1,1,1)$ parametrized by $(t, t^{2}, t)$ is ________.
The line integral of the vector field $F=5xz \hat{i}+(3x^{2}+2y)\hat{j}+x^{2}z\hat{k}$ along a path from $(0,0,0)$ to $(1,1,1)$ parametrized by $(t, t^{2}, t)$ is _______...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-2
electromagnetism
electromagnetic-theory
field
numerical-answers
+
–
0
votes
0
answers
978
GATE Electrical 2016 Set 2 | Question: 32
Let $P=\begin{bmatrix} 3&1 \\ 1 & 3 \end{bmatrix}$ Consider the set $S$ of all vectors $\begin{pmatrix} x\\ y \end{pmatrix}$ such that $a^{2}+b^{2}=1$ ... with major axis along $\begin{pmatrix} 1\\ 1 \end{pmatrix}$ An ellipse with minor axis along $\begin{pmatrix} 1\\ 1 \end{pmatrix}$
Let $P=\begin{bmatrix} 3&1 \\ 1 & 3\end{bmatrix}$ Consider the set $S$ of all vectors $\begin{pmatrix}x\\ y\end{pmatrix}$ such that $a^{2}+b^{2}=1$ where $\begin{pmatrix}...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Linear Algebra
gate2016-ee-2
linear-algebra
matrices
eigen-values
eigen-vectors
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–
0
votes
0
answers
979
GATE Electrical 2016 Set 2 | Question: 25
Two electrodes, whose cross-sectional view is shown in the figure below, are at the same potential. The maximum electric field will be at the point $A$ $B$ $C$ $D$
Two electrodes, whose cross-sectional view is shown in the figure below, are at the same potential. The maximum electric field will be at the point$A$$B$$C$$D$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electromagnetic Fields
gate2016-ee-2
electric field intensity
electric flux density
potential-gradient
+
–
0
votes
0
answers
980
GATE Electrical 2016 Set 2 | Question: 26
The Boolean expression $\overline{(a+\bar{b}+c+\bar{d})+(b+\bar{c})}$ simplifies to $1$ $\overline{a.b}$ $a.b$ $0$
The Boolean expression $\overline{(a+\bar{b}+c+\bar{d})+(b+\bar{c})}$ simplifies to$1$$\overline{a.b}$$a.b$$0$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Analog and Digital Electronics
gate2016-ee-2
analog-and-digital-electronics
boolean-algebra
+
–
0
votes
0
answers
981
GATE Electrical 2016 Set 2 | Question: 27
For the circuit shown below, taking the opamp as ideal, the output voltage $V_{out}$ in terms of the input voltages $V_{1}, V_{2}$ and $V_{3}$ is $1.8V_{1} + 7.2V_{2} -V_{3}$ $2V_{1} + 8V_{2} - 9V_{3}$ $7.2V_{1} + 1.8V_{2} -V_{3}$ $8V_{1} + 2V_{2} - 9V_{3}$
For the circuit shown below, taking the opamp as ideal, the output voltage $V_{out}$ in terms of the input voltages $V_{1}, V_{2}$ and $V_{3}$ is$1.8V_{1} + 7.2V_{2} -V_{...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-2
operational-amplifier
feed-back-resistance
revese
+
–
0
votes
0
answers
982
GATE Electrical 2016 Set 2 | Question: 28
Let $x_{1}(t)\leftrightarrow X_{1}(\omega )$ and $x_{2}(t)\leftrightarrow X_{2}(\omega )$ be two signals whose Fourier Transforms are as shown in the figure below. In the figure, $h(t)=e^{-2|t|}$ denotes the impulse response. For the system shown above ... can be uniquely reconstructed from its samples, is $2B_{1}$ $2(B_{1}+B_{2})$ $4(B_{1}+B_{2})$ $\infty$
Let $x_{1}(t)\leftrightarrow X_{1}(\omega )$ and $x_{2}(t)\leftrightarrow X_{2}(\omega )$ be two signals whose Fourier Transforms are as shown in the figure below. In the...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-2
even-functions
impulse-response
exponential-function
+
–
0
votes
0
answers
983
GATE Electrical 2016 Set 2 | Question: 21
For the network shown in the figure below, the frequency (in rad/s) at which the maximum phase lag occurs is, ___________.
For the network shown in the figure below, the frequency (in rad/s) at which the maximum phase lag occurs is, ___________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-2
voltage-leads
current-leads
rc-filter
numerical-answers
+
–
0
votes
0
answers
984
GATE Electrical 2016 Set 2 | Question: 22
The direction of rotation of a single-phase capacitor run induction motor is reversed by Interchanging the terminals of the AC supply. Interchanging the terminals of the capacitor. Interchanging the terminals of the auxiliary winding. Interchanging the terminals of both the windings.
The direction of rotation of a single-phase capacitor run induction motor is reversed byInterchanging the terminals of the AC supply.Interchanging the terminals of the ca...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical Machines
gate2016-ee-2
pitch-factor
coil-span
stator-slots
flux-per-pole
+
–
0
votes
0
answers
985
GATE Electrical 2016 Set 2 | Question: 23
In the circuit shown below, the voltage and current sources are ideal. The voltage $(V_{out})$ across the current source, in volts, is $0$ $5$ $10$ $20$
In the circuit shown below, the voltage and current sources are ideal. The voltage $(V_{out})$ across the current source, in volts, is$0$ $5$$10$ $20$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-2
superposition
thevenin-theorem
norton-theorem
resistive-load
+
–
0
votes
0
answers
986
GATE Electrical 2016 Set 2 | Question: 24
The graph associated with an electrical network has $7$ branches and $5$ nodes. The number of independent $KCL$ equations and the number of independent $KVL$ equations, respectively, are $2$ and $5$ $5$ and $2$ $3$ and $4$ $4$ and $3$
The graph associated with an electrical network has $7$ branches and $5$ nodes. The number of independent $KCL$ equations and the number of independent $KVL$ equations, r...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-2
kirchhoff's-voltage-law
nodal-analysis
mesh-analysis
+
–
0
votes
0
answers
987
GATE Electrical 2016 Set 2 | Question: 17
A $50$ MVA, $10$ kV, $50$ Hz, star-connected, unloaded three-phase alternator has a synchronous reactance of $1$ p.u. and a sub-transient reactance of $0.2$ p.u. If a $3$-phase short circuit occurs close to the generator terminals, the ratio of initial and final values of the sinusoidal component of the short circuit current is ________.
A $50$ MVA, $10$ kV, $50$ Hz, star-connected, unloaded three-phase alternator has a synchronous reactance of $1$ p.u. and a sub-transient reactance of $0.2$ p.u. If a $3$...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical Machines
gate2016-ee-2
reactive-power-supplier
field-emf
electrical-angle
mechanical-angle
numerical-answers
+
–
0
votes
0
answers
988
GATE Electrical 2016 Set 2 | Question: 18
Consider a linear time-invariant system with transfer function $H(s)=\frac{1}{(s+1)}$ If the input is $\cos(t)$ and the steady state output is $A \cos(t+\alpha)$ then the value of $A$ is _________.
Consider a linear time-invariant system with transfer function$H(s)=\frac{1}{(s+1)}$If the input is $\cos(t)$ and the steady state output is $A \cos(t+\alpha)$ then the v...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-2
linear
translation-invariant
convolution
impulse-response
numerical-answers
+
–
0
votes
0
answers
989
GATE Electrical 2016 Set 2 | Question: 19
A three-phase diode bridge rectifier is feeding a constant $DC$ current of $100 A$ to a highly inductive load. If three-phase, $415 V, 50 Hz AC$ source is supplying to this bridge rectifier then the rms value of the current in each diode, in ampere, is ___________.
A three-phase diode bridge rectifier is feeding a constant $DC$ current of $100 A$ to a highly inductive load. If three-phase, $415 V, 50 Hz AC$ source is supplying to th...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical and Electronic Measurements
gate2016-ee-2
line-current
waveform
triplen-harmonics
magnetization-inductance
numerical-answers
+
–
0
votes
0
answers
990
GATE Electrical 2016 Set 2 | Question: 20
A buck-boost $DC-DC$ converter, shown in the figure below, is used to convert $24 V$ battery voltage to $36 V DC$ voltage to feed a load of $72 W$. It is operated at $20 kHz$ with an inductor of $2 mH$ and output capacitor of $1000 \mu F$. All devices are considered to be ideal. The peak voltage across the solid-state switch $(S)$, in volt, is _______.
A buck-boost $DC-DC$ converter, shown in the figure below, is used to convert $24 V$ battery voltage to $36 V DC$ voltage to feed a load of $72 W$. It is operated at $20 ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electrical and Electronic Measurements
gate2016-ee-2
duty-cycle
high-frequency-switch
bidirectional-switch
reverse-diode
numerical-answers
+
–
0
votes
0
answers
991
GATE Electrical 2016 Set 2 | Question: 13
A power system with two generators is shown in the figure below. The system (generators, buses and transmission lines) is protected by six overcurrent relays $R_{1}$ to $R_{6}$ ... are $R_{1}, R_{2}$ $R_{2}, R_{6}$ $R_{2}, R_{5}$ $R_{1}, R_{6}$
A power system with two generators is shown in the figure below. The system (generators, buses and transmission lines) is protected by six overcurrent relays $R_{1}$ to $...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
power-system-protection
magnitude-comparison-relays
zone-of-protection
pick-up-current
+
–
0
votes
0
answers
992
GATE Electrical 2016 Set 2 | Question: 14
A power system has $100$ buses including $10$ generator buses. For the load flow analysis using Newton-Raphson method in polar coordinates, the size of the Jacobian is $189 \times 189$ $100 \times 100$ $90 \times 90$ $180 \times 180$
A power system has $100$ buses including $10$ generator buses. For the load flow analysis using Newton-Raphson method in polar coordinates, the size of the Jacobian is$18...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
taylor's-theorem
bus-admittance-matrix
pq-buses
pv-buses
acceleration-factor
+
–
0
votes
0
answers
993
GATE Electrical 2016 Set 2 | Question: 15
The inductance and capacitance of a $400$ kV, three-phase, $50$ Hz lossless transmission line are $1.6$ mH/km/phase and $10$ nF/km/phase respectively. The sending end voltage is maintained at $400$ kV. To maintain a ... at the receiving end, when the line is delivering $300$ MW load, the shunt compensation required is Capacitive Inductive Resistive Zero
The inductance and capacitance of a $400$ kV, three-phase, $50$ Hz lossless transmission line are $1.6$ mH/km/phase and $10$ nF/km/phase respectively. The sending end vol...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
surge-impedence
steady-state-operation
equivalent-circuit
stability-limits
+
–
0
votes
0
answers
994
GATE Electrical 2016 Set 2 | Question: 16
A parallel plate capacitor filled with two dielectrics is shown in the figure below. If the electric field in the region $A$ is $4 kV/cm$, the electric field in the region $B$, in $kV/cm$, is $1$ $2$ $4$ $16$
A parallel plate capacitor filled with two dielectrics is shown in the figure below. If the electric field in the region $A$ is $4 kV/cm$, the electric field in the regio...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-2
electromagnetism
capacitance
relative-permitivity
+
–
0
votes
0
answers
995
GATE Electrical 2016 Set 2 | Question: 9
The value of the line integral $\int_{c}^{} (2xy^{2}dx+2x^{2}y dy+dz)$ along a path joining the origin $(0, 0, 0)$ and the point $(1, 1, 1)$ is $0$ $2$ $4$ $6$
The value of the line integral$\int_{c}^{} (2xy^{2}dx+2x^{2}y dy+dz)$along a path joining the origin $(0, 0, 0)$ and the point $(1, 1, 1)$ is$0$ $2$ $4$ $6$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-2
calculus
line-integral
+
–
0
votes
0
answers
996
GATE Electrical 2016 Set 2 | Question: 10
Let $f(x)$ be a real, periodic function satisfying $f(-x)=-f(x)$. The general form of its Fourier series representation would be $f(x)=a_{0}+\sum_{k=1}^{\infty}a_{k}\cos(kx)$ $f(x)=\sum_{k=1}^{\infty}b_{k}\sin(kx)$ $f(x)=a_{0}+\sum_{k=1}^{\infty}a_{2k}\cos(kx)$ $f(x)=\sum_{k=0}^{\infty}a_{2k+1}\sin(2k+1)x$
Let $f(x)$ be a real, periodic function satisfying $f(-x)=-f(x)$. The general form of its Fourier series representation would be$f(x)=a_{0}+\sum_{k=1}^{\infty}a_{k}\cos(k...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Calculus
gate2016-ee-2
calculus
fourier-series
+
–
0
votes
0
answers
997
GATE Electrical 2016 Set 2 | Question: 11
A resistance and a coil are connected in series and supplied from a single phase, $100 V, 50 Hz$ ac source as shown in the figure below. The rms values of plausible voltages across the resistance $(V_{R})$ and coil $(V_{C})$ respectively, in volts, are $65, 35$ $50, 50$ $60, 90$ $60, 80$
A resistance and a coil are connected in series and supplied from a single phase, $100 V, 50 Hz$ ac source as shown in the figure below. The rms values of plausible volta...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Electric Circuits
gate2016-ee-2
closed-loop
series-current
voltage-blocker
sinusoidal-source
+
–
0
votes
0
answers
998
GATE Electrical 2016 Set 2 | Question: 12
The voltage $(V)$ and current $(A)$ across a load are as follows. $v(t)=100\sin$ (ωt), $i(t)=10\sin(ωt-60°) + 2\sin(3ωt)+5\sin(5ωt)$ The average power consumed by the load, in $W$, is _________.
The voltage $(V)$ and current $(A)$ across a load are as follows.$v(t)=100\sin$ (ωt),$i(t)=10\sin(ωt-60°) + 2\sin(3ωt)+5\sin(5ωt)$The average power consumed by the l...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Power Systems
gate2016-ee-2
instantaneous-voltage-source
instantaneous-current-source
instantaneous-power
numerical-answers
+
–
0
votes
0
answers
999
GATE Electrical 2016 Set 2 | Question: 5
Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.
Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-2
high-pass-filter
low-pass-filter
continuous-time-signal
numerical-answers
+
–
0
votes
0
answers
1000
GATE Electrical 2016 Set 2 | Question: 6
Consider the function $f(z)=z+z^{*}$ where $z$ is a complex variable and $z^{*}$ denotes its complex conjugate. Which one of the following is TRUE? $f(z)$ is both continuous and analytic $f(z)$ is continuous but not analytic $f(z)$ is not continuous but is analytic $f(z)$ is neither continuous nor analytic
Consider the function $f(z)=z+z^{*}$ where $z$ is a complex variable and $z^{*}$ denotes its complex conjugate. Which one of the following is TRUE?$f(z)$ is both continuo...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Complex Variables
gate2016-ee-2
complex-variables
+
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