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REVISION FOR EMF

Total questions: 30

Worksheet time: 9mins

Name
Class
Date
1.

The angular separation between the vectors A = 4i + 3j + 5k and B = i – 2j + 2k is (in degrees)

a)

65.8

b)

66.8

c)

67.8

d)

68.8

2.

Which of the following statement describes the given Maxwell equation?  D=ρV\nabla\cdot D=\rho V  

a)

Electric flux lines may form closed loops

b)

Charge density is the source of electric flux lines

c)

Electric flus lines are either normal or tangential to the closed surface

d)

As the flux lines outflow, the charge density shrinks to zero

3.

A vector field A is said to be irrotational if

a)

Δ.A=0

b)

ΔA=0

c)

ΔxA=0

d)

none of the above

4.

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?

a)

-6ax +5ay +2az

b)

-1.5ax +20ay +8az

c)

-1.5ax +5ay +2az

d)

-6ax +20ay +8az

5.

The curl of the gradient of the scalar field defined by V = 2x2y + 3y2z + 4z2x is

a)

4xyax +6yzay +8zxaz

b)

4ax +6ay +8az

c)

0

d)

1

6.

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)

a)

859.537Ix -627.879Iy +612.315Iz

b)

576.320Ix -525.39Iy +485.3152Iz

c)

690.537Ix -517.879Iy +345.3152Iz

d)

None of these

7.

Image theory is applicable to problems involving

a)

Electrostatic field only

b)

Magnetostatic field only

c)

Both electrostatic and magneto static fields

d)

Neither electrostatic nor magnetostatic field

8.

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

a)

0.812 joule

b)

0.712 joule

c)

0.612 joule

d)

0.512 joule

9.

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.

a)

3, 2,-1

b)

2, 3, 1

c)

2, 1, 1

d)

1, 1, 1

10.

Electromagnetic waves are represented in which of the following format?

a)

Longitudinal waves

b)

Transverse waves

c)

Sinusoidal waves

d)

Surface waves

11.

Which equations are regarded as wave equations in frequency domain for lossless media?

a)

Maxwell's

b)

Lorentz

c)

Helmholtz

d)

Poisson's

12.

In conductors, the E and H vary by a phase difference of

a)

0

b)

30

c)

60

d)

45

13.

The relation between the speed of light, permeability and permittivity is

a)

C = 1/√(με)

b)

C = με

c)

C = μ/ε

d)

C = 1/με

14.

In pure dielectrics, the parameter that is zero is

a)

Attenuation

b)

Propagation

c)

Conductivity

d)

Resistivity

15.

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)

a)

37.68µH

b)

113.04 µH

c)

37.68mH

d)

113.04mH

16.

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.

a)

8

b)

10

c)

12

d)

14

17.

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

a)

0.22kV

b)

-225V

c)

-2.24kV

d)

15V

18.

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?

a)

r<a

b)

a<r<b

c)

r>b

d)

a>r>b

19.

The volume of a parallelepiped in Cartesian is

a)

dV = dx dy dz

b)

dV = dx dy

c)

dV = dy dz

d)

dV = dx dz

20.

Transform the vector A = 3i – 2j – 4k at P(2,3,3) to cylindrical coordinates

a)

-3.6j – 4k

b)

-3.6j + 4k

c)

3.6j – 4k

d)

3.6j + 4k

21.

The angular separation between the vectors A = 4i + 3j + 5k and B = i – 2j + 2k is (in degrees)

a)

65.8

b)

66.8

c)

67.8

d)

68.8

22.

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

a)

188.4A

b)

67.88A

c)

4.4A

d)

7.54A

23.

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

a)

7.5µC

b)

13.5µC

c)

15µC

d)

22.5µC

24.

Which of the following relations is valid?

a)

∇ x ∇ x = ∇(∇ . ) - ∇2 A

b)

∇ x ∇ x = ∇(∇ x ) - ∇2 A

c)

∇ x ∇ x = ∇2 A - (∇)

d)

none of the above

25.

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.

a)

5 x 104 m/sec

b)

-3 x 108 m/sec

c)

-1.25 x 107 m/sec

d)

3 x 108 m/sec

26.

Velocity of the wave when it passes from air into sphere

a)

decreases

b)

increases

c)

same

d)

no change

27.

Δ2V = - p/E is known as __________ equation

a)

Poisson

b)

Fourier

c)

laplace

d)

maxwell

28.

The wavelength of an electromagnetic wave after reflection at angle on a surface

a)

remains same as the wavelength perpendicular to the surface

b)

remains same in the free space

c)

increases in actual direction of propagation

d)

decreases in actual direction of propagation

29.

1 dB is equal to __________ nepier

a)

8.6

b)

6.8

c)

8

d)

0

30.

The intrinsic impedance of free space

a)

increases with increase of frequency

b)

decreases with increase of frequency

c)

is independent of frequency

d)

none