Recent activity by soujanyareddy13 / GO Electrical

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GATE Electrical 2022 | GA Question: 9
The letters $\text{P, Q, R, S, T}$ and $\text{U}$ are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining $\text{R}$ and $\text{S}$ is ... line segment joining $\text{Q}$ and $\text{S}$ is perpendicular to the line segment joining $\text{R}$ and $\text{P}$

The letters $\text{P, Q, R, S, T}$ and $\text{U}$ are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.Consider the followin...

edited Feb 22, 2022

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GATE Electrical 2022 | Question: 6
The steady state output ($V_{\text{out}}$), of the circuit shown below, will saturate to $+V_{DD}$ saturate to $-V_{EE}$ become equal to $0.1\:V$ become equal to $-0.1\:V$

The steady state output ($V_{\text{out}}$), of the circuit shown below, willsaturate to $+V_{DD}$saturate to $-V_{EE}$become equal to $0.1\:V$become equal to $-0.1\:V$

edited Feb 22, 2022

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GATE Electrical 2022 | Question: 11
In the circuit shown below, a three-phase star-connected unbalanced load is connect to a balanced three-phase supply of $100\:\sqrt{3}\:V$ with phase sequence $\text{ABC}$. The star connected load has $Z_{A} = 10\:\Omega$ ... is zero, is $20\angle -30^{\circ}$ $20\angle 30^{\circ}$ $20\angle -60^{\circ}$ $20\angle 60^{\circ}$

In the circuit shown below, a three-phase star-connected unbalanced load is connect to a balanced three-phase supply of $100\:\sqrt{3}\:V$ with phase sequence $\text{ABC}...

edited Feb 22, 2022

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GATE Electrical 2022 | Question: 15
For the circuit shown below with ideal diodes, the output will be $V_{\text{out}} = V _{\text{in}}$ for $V_{\text{in}}> 0$ $V_{\text{out}} = V_{\text{in}}$ for $V_{\text{in}}< 0$ $V_{\text{out}} = -V_{\text{in}}$ for $V_{\text{in}}> 0$ $V_{\text{out}} = -V_{\text{in}}$ for $V_{\text{in}}< 0$

For the circuit shown below with ideal diodes, the output will be$V_{\text{out}} = V _{\text{in}}$ for $V_{\text{in}} 0$$V_{\text{out}} = V_{\text{in}}$ for $V_{\text{in...

edited Feb 22, 2022

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GATE Electrical 2022 | Question: 28
The open loop transfer function of a unity gain negative feedback system is given as $G \left ( s \right ) = \dfrac{1}{s\left ( s+1 \right )}$ The Nyquist contour in the $s$ -plane encloses the entire right half plane and a small neighbourhood around the ... $G(s)$, corresponding to the Nyquist contour, is denoted as $N$. Then $N$ equals to $0$ $1$ $2$ $3$

The open loop transfer function of a unity gain negative feedback system is given as $$G \left ( s \right ) = \dfrac{1}{s\left ( s+1 \right )}$$The Nyquist contour in the...

edited Feb 22, 2022

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GATE Electrical 2022 | Question: 33
The fuel cost functions in rupees/hour for two $600$ $\text{MW}$ thermal power plants are given by Plant $1$ : $C_{1} = 350 + 6P_{1} + 0.004P_{1}^{2}$ Plant $2$ : $C_{2} = 450 + aP_{2} + 0.003P_{2}^{2}$ where $P_{1}$ and $P_{2}$ ... $1$ and plant $2$ in $\text{MW}$, respectively, are $200, 350$ $250, 300$ $325, 225$ $350, 200$

The fuel cost functions in rupees/hour for two $600$ $\text{MW}$ thermal power plants are given byPlant $1$ : $C_{1} = 350 + 6P_{1} + 0.004P_{1}^{2}$Plant $2$ : $C_{2} = ...

edited Feb 22, 2022

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GATE Electrical 2022 | Question: 34
The current gain $( I_{\text{out}}/I_{\text{in}})$ in the circuit with an ideal current amplifier given below is $\dfrac{C_{f}}{C_{c}}$ $\dfrac{-C_{f}}{C_{c}}$ $\dfrac{C_{c}}{C_{f}}$ $\dfrac{-C_{c}}{C_{f}}$

The current gain $( I_{\text{out}}/I_{\text{in}})$ in the circuit with an ideal current amplifier given below is$\dfrac{C_{f}}{C_{c}}$$\dfrac{-C_{f}}{C_{c}}$$\dfrac{C_{c}...

edited Feb 22, 2022

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GATE Electrical 2022 | Question: 55
A $3$-phase, $415\; V$, $4$-pole, $50\:Hz$ induction motor draws $5$ times the rated current at rated voltage at starting. It is required to bring down the starting current from the supply to $2$ times of ... of the autotransformer is neglected, then the transformation ratio of the autotransformer is given by ________________. (round off to two decimal places).

A $3$-phase, $415\; V$, $4$-pole, $50\:Hz$ induction motor draws $5$ times the rated current at rated voltage at starting. It is required to bring down the starting curre...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 54
A star-connected $3$-phase, $400\; V$, $50$ $\text{ kVA}$, $50\; Hz$ synchronous motor has a synchronous reactance of $1$ $\text{ohm}$ per phase with negligible armature resistance. The shaft load on the motor is $10$ $\text{kW}$ ... $2\:kW$. The magnitude of the per phase excitation emf of the motor, in volts, is ______________. (round off to nearest integer).

A star-connected $3$-phase, $400\; V$, $50$ $\text{ kVA}$, $50\; Hz$ synchronous motor has a synchronous reactance of $1$ $\text{ohm}$ per phase with negligible armature ...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 53
A $4$-pole induction motor with inertia of $0.1\; kg-m^{2}$ drives a constant load torque of $2\; Nm$. The speed of the motor is increased linearly from $1000$ $\text{rpm}$ to $1500$ $\text{rpm}$ in $4$ ... Neglect losses in the motor. The energy, in joules, consumed by the motor during the speed change is ____________________. (round off to nearest integer)

A $4$-pole induction motor with inertia of $0.1\; kg-m^{2}$ drives a constant load torque of $2\; Nm$. The speed of the motor is increased linearly from $1000$ $\text{rpm...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 52
A $280 \;V$, separately excited $\text{DC}$ motor with armature resistance of $1\:\Omega$ and constant field excitation drives a load. The load torque is proportional to the speed. The motor draws a current of $30 A$ when ... additional resistance of value $10\:\Omega$ is connected in series with the armature, is _____________. (round off to nearest integer)

A $280 \;V$, separately excited $\text{DC}$ motor with armature resistance of $1\:\Omega$ and constant field excitation drives a load. The load torque is proportional to ...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 51
The steady state current flowing through the inductor of a $\text{DC – DC}$ buck boost converter is given in the figure below. If the peak-to-peak ripple in the output voltage of the converter is $1 V$, then the value of the output capacitor, in $\mu F$, is ________________. (round off to nearest integer)

The steady state current flowing through the inductor of a $\text{DC – DC}$ buck boost converter is given in the figure below. If the peak-to-peak ripple in the output ...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 50
A $3$-phase grid-connected voltage source converter with $\text{DC}$ link voltage of $1000$ $\text{V}$ is switched using sinusoidal Pulse Width Modulation $\text{(PWM)}$ technique. If the grid phase current is $10$\text{ A}$ and the $ ... $\text{VA}$, then the modulation index used in sinusoidal $\text{PWM}$ is _____________. (round off to two decimal places)

A $3$-phase grid-connected voltage source converter with $\text{DC}$ link voltage of $1000$ $\text{V}$ is switched using sinusoidal Pulse Width Modulation $\text{(PWM)}$ ...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 49
For the ideal $\text{AC-DC}$ rectifier circuit shown in the figure below, the load current magnitude is $I_{dc} = 15 A$ and is ripple free. The thyristors are fired with a delay angle of $45^{\circ}$. The amplitude of the fundamental component of the source current, in amperes, is _______________. (round off to two decimal places)

For the ideal $\text{AC-DC}$ rectifier circuit shown in the figure below, the load current magnitude is $I_{dc} = 15 A$ and is ripple free. The thyristors are fired with ...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 47
A $20$ $\text{MVA}$, $11.2$ $\text{kV}$, $4$-pole, $50$ $\text{Hz}$ alternator has an inertia constant of $15$ $\text{MJ/MVA}$. If the input and output powers of the alternator are $15$ $\text{MW}$ and $10$ $\text{MW}$, respectively, the angular acceleration in mechanical degree/$s^{2}$ is _____________.(round off to nearest integer)

A $20$ $\text{MVA}$, $11.2$ $\text{kV}$, $4$-pole, $50$ $\text{Hz}$ alternator has an inertia constant of $15$ $\text{MJ/MVA}$. If the input and output powers of the alte...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 46
Two generating units rated for $250$ $\text{MW}$ and $400$ $\text{MW}$ have governor speed regulations of $6\%$ and $6.4\%$, respectively, from no load to full load. Both the generating units are operating in parallel to share a load ... the load shared in $\text{MW}$, by the $250$ $\text{MW}$ generating unit is __________________.(round off to nearest integer)

Two generating units rated for $250$ $\text{MW}$ and $400$ $\text{MW}$ have governor speed regulations of $6\%$ and $6.4\%$, respectively, from no load to full load. Both...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 45
In the circuit shown below, the magnitude of the voltage $V_{1}$ in volts, across the $8\:k\Omega$ resistor is ______. (round off to nearest integer)

In the circuit shown below, the magnitude of the voltage $V_{1}$ in volts, across the $8\:k\Omega$ resistor is ______. (round off to nearest integer)

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 44
Let the probability density function of a random variable $x$ be given as $f\left ( x \right ) = ae^{-2\left | x \right |}$ The value of $’a’$ is _________________.

Let the probability density function of a random variable $x$ be given as $$f\left ( x \right ) = ae^{-2\left | x \right |}$$ The value of $’a’$ is _________________....

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 42
Let $\vec{E}\left ( x, y, z \right ) = 2x^{2}\hat{i} + 5y\hat{j} + 3z\hat{k}$. The value of $\iiint_{V} \left ( \vec{\triangledown} . \vec{E} \right )dV$, where $V$ is the volume enclosed by the unit cube defined by $0\leq x\leq 1, 0\leq y\leq 1$ and $0\leq z\leq 1$, is $3$ $8$ $10$ $5$

Let $\vec{E}\left ( x, y, z \right ) = 2x^{2}\hat{i} + 5y\hat{j} + 3z\hat{k}$. The value of $\iiint_{V} \left ( \vec{\triangledown} . \vec{E} \right )dV$, where $V$ is th...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 40
Let, $f\left ( x,y, z \right ) = 4x^{2} + 7xy + 3xz^{2}$. The direction in which the function $\text{f(x, y, z)}$ increases most rapidly at point $P = (1,0,2)$ is $20\hat{i} + 7\hat{j}$ $20\hat{i} + 7\hat{j} + 12\hat{k}$ $20\hat{i} + 12\hat{k}$ $20\hat{i}$

Let, $f\left ( x,y, z \right ) = 4x^{2} + 7xy + 3xz^{2}$. The direction in which the function $\text{f(x, y, z)}$ increases most rapidly at point $P = (1,0,2)$ is$20\hat{...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 39
The discrete time Fourier series representation of a signal $x[n]$ with period $N$ is written a $x\left [ n \right ] = \sum _{k=0}^{N-1 }\: a_{k}\:e^{j\left ( 2kn\pi/N \right )}$. A discrete time periodic signal with period $N =3$, has the non-zero ... $2 + 2e^{\left ( j\frac{2\pi}{6}n \right )} \cos \left ( \frac{2\pi}{6}n \right )$

The discrete time Fourier series representation of a signal $x[n]$ with period $N$ is written a $x\left [ n \right ] = \sum _{k=0}^{N-1 }\: a_{k}\:e^...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 37
Let an input $x\left ( t \right ) = 2 \sin \left ( 10 \pi t \right ) + 5 \cos \left ( 15 \pi t \right ) + 7 \sin \left ( 42 \pi t \right ) + 4 \cos \left ( 45 \pi t \right )$ is passed through an $\text{LTI}$ ... $2 \sin \left ( 10 \pi t \right ) + 4 \cos \left ( 45 \pi t \right )$

Let an input $x\left ( t \right ) = 2 \sin \left ( 10 \pi t \right ) + 5 \cos \left ( 15 \pi t \right ) + 7 \sin \left ( 42 \pi t \right ) + 4 \cos \left ( 45 \pi t \righ...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 36
Let a casual $\text{LTI}$ system be governed by the following differential equation $y\left ( t \right ) + \dfrac{1}{4}\dfrac{dy}{dt} = 2x\left ( t \right )$, where $x(t)$ and $y(t)$ ... $8e^{-\frac{1}{4}t}u\left ( t \right )$ $8e^{-4t}u\left ( t \right )$

Let a casual $\text{LTI}$ system be governed by the following differential equation $y\left ( t \right ) + \dfrac{1}{4}\dfrac{dy}{dt} = 2x\left ( t \right )$, where $x(t)...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 35
If the magnetic field intensity $(H)$ in a conducting region is given by the expression. $H = x^{2} \hat{i} + x^{2}y^{2}\hat{j} + x^{2}y^{2}z^{2}k$ $\text{A/m}$. The magnitude of the current density, in $A/m^{2}$, at $x = 1\;m, y = 2\; m$ and $z = 1\; m$, is $8$ $12$ $16$ $20$

If the magnetic field intensity $(H)$ in a conducting region is given by the expression. $H = x^{2} \hat{i} + x^{2}y^{2}\hat{j} + x^{2}y^{2}z^{2}k$ $\text{A/m}$. The magn...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 32
Consider a matrix $A = \begin{bmatrix} 1 & 0 & 0\\ 0 & 4 & -2\\ 0 & 1 & 1 \end{bmatrix}$. The matrix $A$ satisfies the equation $6A^{-1} = A^{2} + cA + dl$, where $c$ and $d$ are scalars and $I$ is the identity matrix. Then $\left ( c + d \right )$ is equal to $5$ $17$ $-6$ $11$

Consider a matrix $A = \begin{bmatrix} 1 & 0 & 0\\ 0 & 4 & -2\\ 0 & 1 & 1 \end{bmatrix}$.The matrix $A$ satisfies the equation $6A^{-1} = A^{2} + cA + dl$, where $c$ and ...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 31
Let $f\left ( x \right ) = \int_{0}^{x} e^{t}\left ( t-1 \right )\left ( t-2 \right )dt$. Then $f\left ( x \right )$ decreases in the interval $x \in \left ( 1,2 \right )$ $x \in \left ( 2,3 \right )$ $x \in \left ( 0, 1 \right )$ $x \in \left ( 0.5, 1 \right )$

Let $f\left ( x \right ) = \int_{0}^{x} e^{t}\left ( t-1 \right )\left ( t-2 \right )dt$. Then $f\left ( x \right )$ decreases in the interval$x \in \left ( 1,2 \right )$...

edited Feb 19, 2022

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GATE Electrical 2022 | Question: 30
$e^{A}$ denotes the exponential of a square matrix $A$. Suppose $\lambda$ is an eigenvalue and $v$ is the corresponding eigen-vector of the matrix $A$. Consider the following two statements: Statement $1$ : $e^{\lambda }$ is ... $2$ is false. Statement $1$ is false and statement $2$ is true. Both the statements are correct. Both the statements are false.

$e^{A}$ denotes the exponential of a square matrix $A$. Suppose $\lambda$ is an eigenvalue and $v$ is the corresponding eigen-vector of the matrix $A$.�...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 29
The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as $\zeta$ and $\omega_{n}$, respectively. The values of $\zeta$ and $\omega_{n}$ are $\zeta = 0.5$ and $\omega _{n} =10$ rad/s $\zeta = 0.1$ ... $\zeta = 0.707$ and $\omega _{n} =10$ rad/s $\zeta = 0.707$ and $\omega _{n} =100$ rad/s

The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as $\zeta$ and $\omega_{n}$, respectively. The values of $\ze...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 25
The frequencies of the stator and rotor currents flowing in a three-phase $8$-pole induction motor are $40\:Hz$ and $1\:Hz$, respectively. The motor speed, in $\text{rpm}$, is ________________. (round off to nearest integer)

The frequencies of the stator and rotor currents flowing in a three-phase $8$-pole induction motor are $40\:Hz$ and $1\:Hz$, respectively. The motor speed, in $\text{rpm}...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 24
Two balanced three-phase loads, as shown in the figure, are connected to a $100\sqrt{3}\:V$, three-phase, $50\:Hz$, main supply. Given $Z_{1} = \left ( 18 +j24 \right )\Omega$ and $Z_{2} = \left ( 6 +j8 \right )\Omega$. The ammeter reading, in amperes, is ____________________. (round off to nearest integer)

Two balanced three-phase loads, as shown in the figure, are connected to a $100\sqrt{3}\:V$, three-phase, $50\:Hz$, main supply. Given $Z_{1} = \left ( 18 +j24 \right )\O...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 23
The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ ... . The input power factor, (rounded off to two decimal places), is, _______________________ lag.

The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ rad/s. The input cu...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 22
A single-phase full-bridge diode rectifier feeds a resistive load of $50\; \Omega$ from a $200\:V$, $50\:Hz$ single phase $\text{AC}$ supply. If the diodes are ideal, then the active power, in watts, drawn by the load is __________________. (round off to nearest integer)

A single-phase full-bridge diode rectifier feeds a resistive load of $50\; \Omega$ from a $200\:V$, $50\:Hz$ single phase $\text{AC}$ supply. If the diodes are ideal, the...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 21
In the circuit shown below, the switch $S$ is closed at $t = 0$. The magnitude of the steady state voltage, in volts, across the $6 \Omega$ resistor is ________________. (round off to two decimal places)

In the circuit shown below, the switch $S$ is closed at $t = 0$. The magnitude of the steady state voltage, in volts, across the $6 \Omega$ resistor is ________________. ...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 20
If only $5\%$ of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________________. (round off to nearest integer)

If only $5\%$ of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________________. (round off to nearest integer)

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 19
The maximum clock frequency in $\text{MHz}$ of a $4$ – stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of $20\:ns$, is _______________. (round off to one decimal place)

The maximum clock frequency in $\text{MHz}$ of a $4$ – stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of $20\:ns$, is ______...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 18
The network shown below has a resonant frequency of $150$ $\text{kHz}$ and a bandwidth of $600$ $\text{Hz}$. The $Q$ –factor of the network is ______________. (round off to nearest integer)

The network shown below has a resonant frequency of $150$ $\text{kHz}$ and a bandwidth of $600$ $\text{Hz}$. The $Q$ –factor of the network is ______________. (round of...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 17
An inductor having a $Q$ – factor of $60$ is connected in series with a capacitor having a $Q$ – factor of $240$. The overall $Q$ -factor of the circuit is _______________. (round off to nearest integer)

An inductor having a $Q$ – factor of $60$ is connected in series with a capacitor having a $Q$ – factor of $240$. The overall $Q$ -factor of the circuit is __________...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 16
A $\text{MOD 2}$ and a $\text{MOD 5}$ up-counter when cascade together results in a $\text{MOD}$ _________________ counter. (in integer)

A $\text{MOD 2}$ and a $\text{MOD 5}$ up-counter when cascade together results in a $\text{MOD}$ _________________ counter. (in integer)

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 14
The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, is split phase (resistance start). shaded pole. capacitor start. capacitor start, capacitor run.

The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, issplit phase (resistance start).shaded pole.ca...

edited Feb 18, 2022

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GATE Electrical 2022 | Question: 13
A long conducing cylinder having a radius $'b'$ is placed along the $z$ axis. The current density is $J = J_{a} \:r^{3}\:\hat{z}$ for the region $r< b$ where $r$ is the distance in the radial direction. The magnetic field intensity $\text{(H)}$ for the region inside the conductor ... $\dfrac{J_{a}}{3}\:r^{3}$ $\dfrac{J_{a}}{5}\:r^{4}$ $J_{a}\:r^{3}$

A long conducing cylinder having a radius $’b’$ is placed along the $z$ axis. The current density is $J = J_{a} \:r^{3}\:\hat{z}$ for the region $r< b$ where $r$ is t...

edited Feb 18, 2022