Questions without answers in Electromagnetic Fields - GO Electrical

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1

GATE2013-42
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 $q_1R_1+q_2R_2$ $q_1/R_1+q_2/R_2$ $\big(q_1R_1+q_2R_2\big)/\big(R_1+R_2\big)$ $q_1R_2+q_2R_2$

asked Feb 12, 2017 in Electromagnetic Fields by piyag476 (1.5k points)

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2

GATE2013-24
Given a vector field $\textbf{F}=y^2x \textbf{a}_x-yz \textbf{a}_y-x^2 \textbf{a}_z$ the line integral $\int \textbf{F} \cdot d \textbf{l}$ evaluated along a segment on the $x$-axis from $x=1$ to $x=2$ is $-2.33$ $0$ $2.33$ $7$

asked Feb 12, 2017 in Electromagnetic Fields by piyag476 (1.5k points)

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3

GATE2013-34
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 value of ... $8.85 \times10^{-11}$ $8.85 \times 10^{-15}$ $88.5$ $885$

asked Feb 12, 2017 in Electromagnetic Fields by piyag476 (1.5k points)

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4

GATE2013-10
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 $-2$ $-0.5$ $+0.5$ $+2$

asked Feb 12, 2017 in Electromagnetic Fields by piyag476 (1.5k points)

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5

GATE2013-12
The curl of the gradient of the scaler field defined by $V=2x^2y+3y^2z+4z^2x$ is $4xy \textbf{a}_x+6yz \textbf{a}_y+8zx \textbf{a}_z$ $4 \textbf{a}_x+6\textbf{a}_y+8 \textbf{a}_z$ $(4xy+4z^2) \textbf{a}_x+(2x^2+6yz) \textbf{a}_y+(3y^2+8zx) \textbf{a}_z$ $0$

asked Feb 12, 2017 in Electromagnetic Fields by piyag476 (1.5k points)

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6

GATE2014-3-31
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 $\hat{i}$,$\hat{j}$,$\hat{k}$ to be unit ... $\vec{E}$ $(Newtons/Columb)$ will be $2\sqrt{2}\hat{k}$ $-2\hat{k}$ $2\hat{k}$ $-2\sqrt{2}\hat{k}$

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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7

GATE2014-3-7
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 $4\pi \epsilon _0r$ $4\pi \epsilon _0r^2$ $4\pi \epsilon _0R$ $4\pi \epsilon _0R^2$

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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8

GATE2014-3-2
A particle, starting from origin at $t$ = $0$ $s$, is traveling along x-axis with velocity $V=\frac{\pi }{2}cos(\frac{\pi }{2}t)m/s$ At t = $3$ $s$, the difference between the distance covered by the particle and the magnitude of displacement from the origin is _________.

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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9

GATE2014-3-3
Let $\nabla .(fv)=x^2y+y^2z+z^2x$ , where $f$ and $v$ are scalar and vector fields respectively. If $v=yi+zj+xk$ then $v.\Delta f$ is $x^2y+y^2z+z^2x$ $2xy+2yz+2zx$ $x+y+z$ $0$

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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10

GATE2014-2-42
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 per kilometer of each ... $4.2\times 10^{-9}F$ $8.4\times 10^{-9}F$ $4.2\times 10^{-12}F$ $8.4\times 10^{-12}F$

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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11

GATE2014-2-32
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 $\frac{\mu i}{2\pi d}$ (in $SI$ units) (in SI units). An infinitely extended wire is laid along the x-axis and is carrying current of $4$ ... $weber/m^2$ $\frac{4}{3\pi }\hat{i}$ $A/m$ $\frac{3}{2\pi }\hat{k}$ $A/m$ $0$ $A/m$

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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12

GATE2014-1-48
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 $100$ turns in the coil, the flux density in the air gap is $0.2\: Wb/m^2,$ and ... The spring constants of both the meters are equal. The value of current, at which the deflections of the two meters are same, is ________

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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13

GATE2014-1-32
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 $y^2a_x+z^2a_y+x^2a_z$ $y^2a_x+x^2a_y+z^2a_z$ $x^2a_x+y^2a_y+z^2a_z$ $y^2z^2a_x+x^2z^2a_y+x^2y^2a_z$

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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14

GATE2014-1-7
$C_0$ 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 $\frac{C_0}{2}(1+\epsilon _r)$ $(C_0+\epsilon _r)$ $\frac{C_0}{2}\epsilon _r$ $C_0(1+\epsilon _r)$

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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15

GATE2015-2-10
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 $4\pi \times 10^{-7}$ in SI unit. If a uniform magnetic field intensity $\vec{H}=10^{7}\hat{z}$ A/m is applied, then the peak value of the induced voltage, $V_{turn}$ ( in Volts), is _________.

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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16

GATE2015-1-36
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 ______.

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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17

GATE2015-1-11
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 magnetic flux ... $\omega= 2\pi \times 50$ radian/second. The power absorbed (in Watt) by the loop from the magnetic field is _________.

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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18

GATE2015-1-4
Consider a function $\vec{f}=\frac{1}{r^{2}} \hat{r}$ 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 $0$ $2 \pi$ $4 \pi$ $R \pi$

asked Feb 12, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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19

GATE2016-2-55
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 __________.

asked Jan 30, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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20

GATE2016-2-42
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 __________.

asked Jan 30, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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21

GATE2016-2-31
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 ________.

asked Jan 30, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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22

GATE2016-2-25
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 $A$ $B$ $C$ $D$

asked Jan 30, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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23

GATE2016-1-53
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 ________.

asked Jan 30, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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24

GATE2016-1-38
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 $x=-2$ $y=2$ $x^{2}+y^{2}=2$ $(x+2)^{2}+y^{2}=16$

asked Jan 30, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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25

GATE2016-1-13
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 $\vec{E}$ be the resulting electric field. Then the magnitude of $\nabla \times \vec{E}$ Increases with $r$ Is $0$. Is $3$. Decreases with $z$.

asked Jan 30, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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26

GATE2016-1-14
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 ________.

asked Jan 30, 2017 in Electromagnetic Fields by makhdoom ghaya (9.3k points)

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