Recent activity in Electromagnetic Fields / GO Electrical

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1

GATE Electrical 2016 Set 2 | Question: 42
The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (air-gap length) = $10$ cm, the magnitude of mechanical force on the moving part, in $N$, is __________.

The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (air-gap length) = $10$ cm, the mag...

Tar1188

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Tar1188 answered Mar 16, 2021

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2

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...

go_editor

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go_editor edited Oct 3, 2020

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3

GATE Electrical 2015 Set 2 | Question: 10
A circular turn of radius $1$ m revolves at $60$ rpm about its diameter aligned with the $x$-axis as shown in the figure. The value of $\mu_{0}$ is $4\pi \times 10^{-7}$ ... $V_{\text{turn}}$ ( in Volts), is _________.

A circular turn of radius $1$ m revolves at $60$ rpm about its diameter aligned with the $x$-axis as shown in the figure. The value of $\mu_{0}$ is $4\pi \times 10^{-7}$ ...

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go_editor edited Oct 2, 2020

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4

GATE Electrical 2014 Set 3 | Question: 31
A perfectly conducting metal plate is placed in $x-y$ plane in a right handed coordinate system. A charge of $+32\pi \epsilon _0\sqrt{2}$ columbs is placed at coordinate $(0, 0, 2)$. $\epsilon _0$ is the permittivity of free space. Assume $\hat{i}$,$\hat{j}$ ... $2\sqrt{2}\hat{k}$ $-2\hat{k}$ $2\hat{k}$ $-2\sqrt{2}\hat{k}$

A perfectly conducting metal plate is placed in $x-y$ plane in a right handed coordinate system. A charge of $+32\pi \epsilon _0\sqrt{2}$ columbs is placed at coordinate...

go_editor

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go_editor edited Oct 1, 2020

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5

GATE Electrical 2015 Set 1 | Question: 4
Consider a function $\overrightarrow{f}=\dfrac{1}{r^{2}} \hat{r}$ where $r$ is the distance from the origin and $\hat{r}$ is the unit vector in the radial direction. The divergence of this function over a sphere of radius $R$, which includes the origin, is $0$ $2 \pi$ $4 \pi$ $R \pi$

Consider a function $\overrightarrow{f}=\dfrac{1}{r^{2}} \hat{r}$ where $r$ is the distance from the origin and $\hat{r}$ is the unit vector in the radial direction. The ...

go_editor

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go_editor edited Sep 25, 2020

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6

GATE Electrical 2014 Set 3 | Question: 2
A particle, starting from origin at $t=0 \: s$, is traveling along $x$-axis with velocity $V=\dfrac{\pi }{2}\cos \bigg(\dfrac{\pi }{2}t \bigg) \: m/s$ At $t = 3 \: s$, the difference between the distance covered by the particle and the magnitude of displacement from the origin is _________.

A particle, starting from origin at $t=0 \: s$, is traveling along $x$-axis with velocity $$V=\dfrac{\pi }{2}\cos \bigg(\dfrac{\pi }{2}t \bigg) \: m/s$$ At $t = 3 \: s$, ...

go_editor

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go_editor edited Sep 24, 2020

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7

GATE Electrical 2014 Set 2 | Question: 32
The magnitude of magnetic flux density ($\vec{B}$ ) at a point having normal distance $d$ meters from an infinitely extended wire carrying current of $I$ $A$ is $\dfrac{\mu i}{2\pi d}$ (in $SI$ units) (in SI units). An infinitely extended wire is laid along the $x$-axis and is ... $\dfrac{3}{2\pi }\hat{k} \: A/m \\$ $0 \: A/m$

The magnitude of magnetic flux density ($\vec{B}$ ) at a point having normal distance $d$ meters from an infinitely extended wire carrying current of $I$ $A$ is $\dfrac{\...

go_editor

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go_editor edited Sep 24, 2020

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8

GATE Electrical 2014 Set 1 | Question: 7
$C_0$ is the capacitance of a parallel plate capacitor with air as dielectric $($ as in figure $(a))$. If, half of the entire gap as shown in figure $(b)$ is filled with a dielectric of permittivity $\epsilon _r$ , the expression for the modified capacitance is ... $(C_0+\epsilon _r) \\$ $\dfrac{C_0}{2}\epsilon _r \\$ $C_0(1+\epsilon _r)$

$C_0$ is the capacitance of a parallel plate capacitor with air as dielectric $($ as in figure $(a))$. If, half of the entire gap as shown in figure $(b)$ is filled with ...

go_editor

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go_editor edited Sep 24, 2020

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9

GATE Electrical 2016 Set 2 | Question: 55
A rotating conductor of $1$ m length is placed in a radially outward (about the $z$-axis) magnetic flux density $(B)$ of $1$ Tesla as shown in figure below. Conductor is parallel to and at $1$ m distance from the $z$-axis. The speed of the conductor in r.p.m. required to induce a voltage of $1$ V across it, should be __________.

A rotating conductor of $1$ m length is placed in a radially outward (about the $z$-axis) magnetic flux density $(B)$ of $1$ Tesla as shown in figure below. Conductor is ...

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go_editor retagged Dec 6, 2019

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10

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 _______...

go_editor

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go_editor retagged Dec 6, 2019

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11

GATE Electrical 2016 Set 1 | Question: 53
A dc voltage with ripple is given by $v(t)=\left [ 100+10\sin\left ( \omega t \right )-5\sin\left ( 3\omega t \right ) \right ]$ volts. Measurements of this voltage $v(t)$ made by moving-coil and moving-iron voltmeters, show readings of $V_{1}$ and $V_{2}$ respectively. The value of $V_{2} − V_{1}$, in volts, is ________.

A dc voltage with ripple is given by $v(t)=\left [ 100+10\sin\left ( \omega t \right )-5\sin\left ( 3\omega t \right ) \right ]$ volts. Measurements of this voltage $v(t)...

go_editor

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12

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 ...

go_editor

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go_editor retagged Dec 4, 2019

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13

GATE Electrical 2015 Set 1 | Question: 36
A parallel plate capacitor is partially filled with glass of dielectric constant $4.0$ as shown below. The dielectric strengths of air and glass are $30$ kV/cm and $300$ kV/cm, respectively. The maximum voltage (in kilovolts), which can be applied across the capacitor without any breakdown, is ______.

A parallel plate capacitor is partially filled with glass of dielectric constant $4.0$ as shown below. The dielectric strengths of air and glass are $30$ kV/cm and $300$ ...

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14

GATE Electrical 2015 Set 1 | Question: 11
Consider a one-turn rectangular loop of wire placed in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the field lines. The resistance of the loop is $0.4\Omega$, and its inductance is negligible. The ... radian/second. The power absorbed (in Watt) by the loop from the magnetic field is _________.

Consider a one-turn rectangular loop of wire placed in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the field lines. The res...

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15

GATE Electrical 2014 Set 1 | Question: 48
The $dc$ current flowing in a circuit is measured by two ammeters, one $PMMC$ and another electrodynamometer type, connected in series. The $PMMC$ meter contains $100$ ... of both the meters are equal. The value of current, at which the deflections of the two meters are same, is ________

The $dc$ current flowing in a circuit is measured by two ammeters, one $PMMC$ and another electrodynamometer type, connected in series. The $PMMC$ meter contains $100$ tu...

go_editor

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go_editor retagged Dec 2, 2019

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16

GATE Electrical 2014 Set 1 | Question: 32
The following four vector fields are given in Cartesian co-ordinate system. The vector field which does not satisfy the property of magnetic flux density is $y^2a_x+z^2a_y+x^2a_z$ $y^2a_x+x^2a_y+z^2a_z$ $x^2a_x+y^2a_y+z^2a_z$ $y^2z^2a_x+x^2z^2a_y+x^2y^2a_z$

The following four vector fields are given in Cartesian co-ordinate system. The vector field which does not satisfy the property of magnetic flux density is$y^2a_x+z^2a_y...

Lakshman Bhaiya

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Lakshman Bhaiya edited Nov 21, 2019

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17

GATE Electrical 2013 | Question: 34
A dielectric slab with $500$ mm $\times 500$ mm cross-section is $0.4\:m$ long. The slab is subjected to a uniform electric field of $\textbf{E}=6 \textbf{a}_x+8 \textbf{a}_y\: KV/mm$. The relative permittivity of the dielectric material is equal to $2$ ... The energy stored in the dielectric in Joules is $8.85 \times10^{-11}$ $8.85 \times 10^{-15}$ $88.5$ $885$

A dielectric slab with $500$ mm $\times 500$ mm cross-section is $0.4\:m$ long. The slab is subjected to a uniform electric field of $\textbf{E}=6 \textbf{a}_x+8 \textbf{...

go_editor

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go_editor edited Nov 21, 2019

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18

GATE Electrical 2013 | Question: 12
The curl of the gradient of the scaler field defined by $V=2x^2y+3y^2z+4z^2x$ is $4xy \textbf{a}_x+6yz \textbf{a}_y+8zx \textbf{a}_z$ $4 \textbf{a}_x+6\textbf{a}_y+8 \textbf{a}_z$ $(4xy+4z^2) \textbf{a}_x+(2x^2+6yz) \textbf{a}_y+(3y^2+8zx) \textbf{a}_z$ $0$

The curl of the gradient of the scaler field defined by $V=2x^2y+3y^2z+4z^2x$ is$4xy \textbf{a}_x+6yz \textbf{a}_y+8zx \textbf{a}_z$$4 \textbf{a}_x+6\textbf{a}_y+8 \textb...

go_editor

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go_editor edited Nov 21, 2019

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19

GATE Electrical 2013 | Question: 10
The flux density at a point in space is given by $\textbf{B}=4x \textbf{a}_x+2ky \textbf{a}_y+8 \textbf{a}_z \:\: Wb/m^2$. The value of constant $k$ must be equal to $-2$ $-0.5$ $+0.5$ $+2$

The flux density at a point in space is given by $\textbf{B}=4x \textbf{a}_x+2ky \textbf{a}_y+8 \textbf{a}_z \:\: Wb/m^2$. The value of constant $k$ must be equal to$-2$...

go_editor

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go_editor edited Nov 21, 2019

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20

GATE Electrical 2013 | Question: 42
Two magnetically uncoupled inductive coils have $Q$ factors $q_1$ and $q_2$ at the chosen operating frequency. Their respective resistances are $R_1$ and $R_2$. When connected in series, their effective $Q$ factor at the same operating frequency is $q_1R_1+q_2R_2$ $q_1/R_1+q_2/R_2$ $\big(q_1R_1+q_2R_2\big)/\big(R_1+R_2\big)$ $q_1R_2+q_2R_2$

Two magnetically uncoupled inductive coils have $Q$ factors $q_1$ and $q_2$ at the chosen operating frequency. Their respective resistances are $R_1$ and $R_2$. When conn...

Lakshman Bhaiya

6.7k points

Lakshman Bhaiya edited Nov 20, 2019

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21

GATE Electrical 2014 Set 2 | Question: 8
A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is placed symmetrically with respect to the plates. If the potential difference between one of the plates and the nearest surface of dielectric interface is $2$ $Volts$, then the ratio $ε_1$ : $ε_2$ is $1:4$ $2:3$ $3:2$ $4:1$

A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is placed symmetrically with respect to the plates.If th...

samarjeet

140 points

samarjeet answered Apr 30, 2017

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22

GATE Electrical 2014 Set 2 | Question: 42
The horizontally placed conductors of a single phase line operating at $50$ $Hz$ are having outside diameter of $1.6$ $cm$, and the spacing between centers of the conductors is $6$ $m$. The permittivity of free space is $8.854\times 10^{-12}F/m$. The capacitance to ground ... $8.4\times 10^{-9}F$ $4.2\times 10^{-12}F$ $8.4\times 10^{-12}F$

The horizontally placed conductors of a single phase line operating at $50$ $Hz$ are having outside diameter of $1.6$ $cm$, and the spacing between centers of the conduct...

piyag476

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piyag476 recategorized Feb 15, 2017

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23

GATE Electrical 2014 Set 3 | Question: 7
A hollow metallic sphere of radius $r$ is kept at potential of $1$ $Volt$. The total electric flux coming out of the concentric spherical surface of radius $R ( > r)$ is $4\pi \epsilon _0r$ $4\pi \epsilon _0r^2$ $4\pi \epsilon _0R$ $4\pi \epsilon _0R^2$

A hollow metallic sphere of radius $r$ is kept at potential of $1$ $Volt$. The total electric flux coming out of the concentric spherical surface of radius $R ( r)$ is$4...

piyag476

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piyag476 recategorized Feb 14, 2017

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24

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$

piyag476

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piyag476 recategorized Feb 8, 2017

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25

GATE Electrical 2016 Set 1 | Question: 38
Two electric charges $q$ and $−2q$ are placed at $(0,0)$ and $(6,0)$ on the $x-y$ plane. The equation of the zero equipotential curve in the $x-y$ plane is $x=-2$ $y=2$ $x^{2}+y^{2}=2$ $(x+2)^{2}+y^{2}=16$

Two electric charges $q$ and $−2q$ are placed at $(0,0)$ and $(6,0)$ on the $x-y$ plane. The equation of the zero equipotential curve in the $x-y$ plane is$x=-2$$y=2$$x...

piyag476

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piyag476 recategorized Feb 8, 2017