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WorksheetsREVISION FOR EMF
Total questions: 30
Worksheet time: 9mins
The angular separation between the vectors A = 4i + 3j + 5k and B = i – 2j + 2k is (in degrees)
65.8
66.8
67.8
68.8
Which of the following statement describes the given Maxwell equation? ∇⋅D=ρV
Electric flux lines may form closed loops
Charge density is the source of electric flux lines
Electric flus lines are either normal or tangential to the closed surface
As the flux lines outflow, the charge density shrinks to zero
A vector field A is said to be irrotational if
Δ.A=0
ΔA=0
ΔxA=0
none of the above
The region x<0 carries a perfect dielectric for which εr1=2.0, while the region x>0 is characterized by εr2=4.0. If in the given medium 1, E1= -3ax+5ay+2az then what will be the electric field density D2 in medium 2?
-6ax +5ay +2az
-1.5ax +20ay +8az
-1.5ax +5ay +2az
-6ax +20ay +8az
The curl of the gradient of the scalar field defined by V = 2x2y + 3y2z + 4z2x is
4xyax +6yzay +8zxaz
4ax +6ay +8az
0
1
Calculate electric field at a point N (4, -3, and 2) in free space caused by a charge Q1= 3 μc at P1(0,0,0)
859.537Ix -627.879Iy +612.315Iz
576.320Ix -525.39Iy +485.3152Iz
690.537Ix -517.879Iy +345.3152Iz
None of these
Image theory is applicable to problems involving
Electrostatic field only
Magnetostatic field only
Both electrostatic and magneto static fields
Neither electrostatic nor magnetostatic field
An inductor of 0.3125 H, is in steady state condition & carries a current of 2.28 Amp in their circuitry, then how much amount of Magnetic Energy stored in the inductor
0.812 joule
0.712 joule
0.612 joule
0.512 joule
Find the values of a, b, c if the given field v=(x+2y +az)i + (bx-3y -z) j+ (3x+cy+2z) k is irrotational.
3, 2,-1
2, 3, 1
2, 1, 1
1, 1, 1
Electromagnetic waves are represented in which of the following format?
Longitudinal waves
Transverse waves
Sinusoidal waves
Surface waves
Which equations are regarded as wave equations in frequency domain for lossless media?
Maxwell's
Lorentz
Helmholtz
Poisson's
In conductors, the E and H vary by a phase difference of
0
30
60
45
The relation between the speed of light, permeability and permittivity is
C = 1/√(με)
C = με
C = μ/ε
C = 1/με
In pure dielectrics, the parameter that is zero is
Attenuation
Propagation
Conductivity
Resistivity
A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300mm and a cross-sectional area of 300 mm2. The inductance of the coil corresponding to a magnetizing current of 3A will be (Given that μ0 = 4π × 10–7 H/m)
37.68µH
113.04 µH
37.68mH
113.04mH
A square loop of wire in the plane carrying 2 mA in the field of an infinite filament on the y-axis, as shown in figure.
8
10
12
14
A point charge of +1 nC is placed in a space with a permitivity of 8.85 × 10–12 F/m as shown in Fig. The potential difference VPQ between two points P and Q at distances of 40 mm and 20 mm respectively from the point charge is
0.22kV
-225V
-2.24kV
15V
A toroid having inner radius a and outer radius b with current I carries N turns with r as radius. Which among the following condition describes magnetic field to be zero everywhere inside the inner radius?
r<a
a<r<b
r>b
a>r>b
The volume of a parallelepiped in Cartesian is
dV = dx dy dz
dV = dx dy
dV = dy dz
dV = dx dz
Transform the vector A = 3i – 2j – 4k at P(2,3,3) to cylindrical coordinates
-3.6j – 4k
-3.6j + 4k
3.6j – 4k
3.6j + 4k
The angular separation between the vectors A = 4i + 3j + 5k and B = i – 2j + 2k is (in degrees)
65.8
66.8
67.8
68.8
What will be the current in the circular coil of radius 15 cm having magnetic field strength of 2,000 A/m, if the coil is wound with 250 turns
188.4A
67.88A
4.4A
7.54A
Two point charges Q1 = 10μC and Q2 = 20μC are placed at coordinate (1, 1, 0) and (–1, –1, 0) respectively. The total electric flux passing through a plane z = 20 will be
7.5µC
13.5µC
15µC
22.5µC
Which of the following relations is valid?
∇ x ∇ x = ∇(∇ . ) - ∇2 A
∇ x ∇ x = ∇(∇ x ) - ∇2 A
∇ x ∇ x = ∇2 A - (∇)
none of the above
The magnetic field intensity vector of a plane wave is given by H (x, y, z, t) = 10 sin (5000t + 0.004x + 30 ay ), where denotes unit vector in y direction the wave is propagating with a phase velocity.
5 x 104 m/sec
-3 x 108 m/sec
-1.25 x 107 m/sec
3 x 108 m/sec
Velocity of the wave when it passes from air into sphere
decreases
increases
same
no change
Δ2V = - p/E is known as __________ equation
Poisson
Fourier
laplace
maxwell
The wavelength of an electromagnetic wave after reflection at angle on a surface
remains same as the wavelength perpendicular to the surface
remains same in the free space
increases in actual direction of propagation
decreases in actual direction of propagation
1 dB is equal to __________ nepier
8.6
6.8
8
0
The intrinsic impedance of free space
increases with increase of frequency
decreases with increase of frequency
is independent of frequency
none
