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1
GATE201342
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)
gate2013ee
coils
electromagnetism
0
votes
0
answers
2
GATE201334
A dielectric slab with $500$ mm $\times 500$ mm crosssection 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)
gate2013ee
coulombslaw
electromagnetism
0
votes
0
answers
3
GATE201324
Given a vector field $\textbf{F}=y^2x \textbf{a}_xyz \textbf{a}_yx^2 \textbf{a}_z$ 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)
gate2013ee
fieldvector
integral
+1
vote
0
answers
4
GATE201312
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)
gate2013ee
scalerproduct
slopeofgradient
0
votes
0
answers
5
GATE201310
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)
gate2013ee
magneticflux
electromagnetism
0
votes
0
answers
6
GATE2014331
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)
gate2014ee3
conduction
permitivity
coordinatesystem
0
votes
0
answers
7
GATE201437
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)
gate2014ee3
electricflux
sphericalsurface
0
votes
0
answers
8
GATE201433
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)
gate2014ee3
scalers
fieldvectors
0
votes
0
answers
9
GATE201432
A particle, starting from origin at $t$ = $0$ $s$, is traveling along xaxis 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)
gate2014ee3
velocity
distance
displacement
numericalanswers
0
votes
0
answers
10
GATE2014242
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)
gate2014ee2
relativepermitivity
permeability
0
votes
0
answers
11
GATE2014232
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 xaxis 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)
gate2014ee2
fluxdensity
fieldintensity
0
votes
1
answer
12
GATE201428
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 $1:4$ $2:3$ $3:2$ $4:1$
asked
Feb 12, 2017
in
Electromagnetic Fields
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
dielectric
potentialdifference
0
votes
0
answers
13
GATE2014148
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)
gate2014ee1
electrodynamometer
ammeter
currentmeasurement
numericalanswers
0
votes
0
answers
14
GATE2014132
The following four vector fields are given in Cartesian coordinate 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)
gate2014ee1
cartesian
coordinate
vector
fields
0
votes
0
answers
15
GATE201417
$C_0$ 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)
gate2014ee1
dielectric
capacitance
0
votes
0
answers
16
GATE2015210
A circular turn of radius $1$ m revolves at $60$ rpm about its diameter aligned with the xaxis 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)
gate2015ee2
magneticfieldintensity
electromagnetism
electromagnetictheory
numericalanswers
0
votes
0
answers
17
GATE2015136
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)
gate2015ee1
dielectric
parallelplatecapacitor
numericalanswers
0
votes
0
answers
18
GATE2015111
Consider a oneturn 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)
gate2015ee1
magneticfluxdensity
fieldlines
numericalanswers
0
votes
0
answers
19
GATE201514
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)
gate2015ee1
unitvector
radialdirection
divergence
0
votes
0
answers
20
GATE2016255
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)
gate2016ee2
magneticfluxdensity
conductor
numericalanswers
0
votes
0
answers
21
GATE2016242
The flux linkage $(\lambda)$ and current $(i)$ relation for an electromagnetic system is $\lambda=(\sqrt{i})/g$. When $i = 2A$ and $g$ (airgap 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)
gate2016ee2
flux
linkage
electromagneticsystem
numericalanswers
0
votes
0
answers
22
GATE2016231
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)
gate2016ee2
electromagnetism
electromagnetictheory
field
numericalanswers
0
votes
0
answers
23
GATE2016225
Two electrodes, whose crosssectional 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)
gate2016ee2
electric field intensity
electric flux density
potentialgradient
0
votes
0
answers
24
GATE2016153
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 movingcoil and movingiron 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)
gate2016ee1
faradaylaw
magneticinduction
inducedemf
numericalanswers
0
votes
0
answers
25
GATE2016138
Two electric charges $q$ and $−2q$ are placed at $(0,0)$ and $(6,0)$ on the $xy$ plane. The equation of the zero equipotential curve in the $xy$ 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)
gate2016ee1
electromagnetism
electromagnetictheory
coulomb'slaw
0
votes
0
answers
26
GATE2016113
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)
gate2016ee1
electromagnetictheory
magnetomotiveforce
ampere'slaw
0
votes
0
answers
27
GATE2016114
A softiron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of softiron 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)
gate2016ee1
currentcarryingconductor
electromagnetism
faradayslaw
numericalanswers
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