# Multiple choice question for engineering

## Set 1

1. The Cartesian system is also called as

a) Circular coordinate system

b) Rectangular coordinate system

c) Spherical coordinate system

d) Space coordinate system

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2. 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

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3. A charge is placed in a square container. The position of the charge with respect to the origin can be found by

a) Spherical system

b) Circular system

c) Cartesian system

d) Space coordinate system

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4. The scalar factor of Cartesian system is unity. State True/False.

a) True

b) False

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5. 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

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^{-1}(0.377) = 67.8.

6. The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False.

a) True

b) False

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7. 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

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8. The spherical equivalent of the vector B = yi + (x + z)j located at (-2,6,3) is given by

a) (7,64.62,71.57)

b) (7,-64.62,-71.57)

c) (7,-64.62,71.57)

d) (7,64.62,-71.57)

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9. Which of the following criteria is used to choose a coordinate system?

a) Distance

b) Intensity

c) Magnitude

d) Geometry

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10. Vector transformation followed by coordinate point substitution and vice-versa, both given the same result. Choose the best answer.

a) Possible, when the vector is constant

b) Possible, when the vector is variable

c) Possible in all cases

d) Not possible

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## Set 2

1. When two vectors are perpendicular, their

a) Dot product is zero

b) Cross product is zero

c) Both are zero

d) Both are not necessarily zero

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2. The cross product of the vectors 3i + 4j – 5k and –i + j – 2k is,

a) 3i – 11j + 7k

b) -3i + 11j + 7k

c) -3i – 11j – 7k

d) -3i + 11j – 7k

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3. Which of the following are not vector functions in Electromagnetics?

a) Gradient

b) Divergence

c) Curl

d) There is no non- vector functions in Electromagnetics

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4. The work done of vectors force F and distance d, separated by angle θ can be calculated using,

a) Cross product

b) Dot product

c) Addition of two vectors

d) Cannot be calculated

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5. Find whether the vectors are parallel, (-2,1,-1) and (0,3,1)

a) Parallel

b) Collinearly parallel

c) Not parallel

d) Data insufficient

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6. Lorentz force is based on,

a) Dot product

b) Cross product

c) Both dot and cross product

d) Independent of both

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7. Electromagnetic forces are defined by

a) Fleming’s right hand rule

b) Fleming’s left hand rule

c) Faraday’s law

d) Ampere law

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8. The dot product of two vectors is a scalar. The cross product of two vectors is a vector. State True/False.

a) True

b) False

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9. Which of the Pythagorean Theorem is valid in Electromagnetics?

a) |dot product| + |dot product| = 1

b) |cross product| – |cross product| = 1

c) |dot product|^{2} + |cross product|^{2} = 1

d) |dot product| + |cross product| = 0

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^{2}+ |sin|

^{2}= 1, which is the right answer.

10. Which of the following is not true?

a) A . (B . C) = scalar value

b) A . (B x C) = scalar value

c) A x (B . C) = scalar value

d) A x (B x C) = vector value

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## Set 3

1. The electrostatic energy in an electric field does not depend on which of the following?

a) Magnitude of charges

b) Permittivity

c) Applied electric field

d) Flux lines

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2. Calculate the energy in an electric field with flux density 6 units and field intensity of 4 units.

a) 12

b) 24

c) 36

d) 48

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3. Calculate the energy in an electric field with permittivity of 56 and field intensity of 36π(in μJ)

a) 3.16

b) 5.16

c) 7.16

d) 9.16

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^{2}. On substituting the data, we get 3.16 microjoule.

4. Equipotential surface is a

a) Real surface

b) Complex surface

c) Imaginary surface

d) Not existing surface

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5. The work done in moving a test charge from one point to another in an equipotential surface is zero. State True/False.

a) True

b) False

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6. When curl of a path is zero, the field is said to be conservative. State True/False.

a) True

b) False

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7. If the electric potential is given, which of the following cannot be calculated?

a) Electrostatic energy

b) Electric field intensity

c) Electric flux density

d) Permittivity

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8. Superconductors exhibit which of the following properties?

a) Ferromagnetism

b) Polarisation

c) Diamagnetism

d) Ferrimagnetism

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9. Debye is the unit used to measure

a) Permittivity

b) Electric dipole moment

c) Magnetic dipole moment

d) Susceptibility

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^{-30}Coulomb-meter.

10. Ceramic materials possess which of the following properties?

a) Brittle and low dielectric constant

b) Rigid and low dielectric constant

c) Brittle and high dielectric constant

d) Rigid and high dielectric constant

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## Set 4

1. Find the force that exists in an electromagnetic wave.

a) Electrostatic force

b) Magnetostatic force

c) Lorentz force

d) Electromotive force

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2. In an field having a force of 12N and distance 20cm, the torque will be

a) 0.24

b) 2.4

c) 24

d) 12/20

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3. Find the torque in a conductor having current 2A, flux density 50 units, length 15cm and distance of 8m.

a) 120

b) 240

c) 800

d) 350

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4. The distance of the conductor when the area and length of the conductor is 24m2 and 13.56m.

a) 1.76

b) 2.67

c) 1.52

d) 2.15

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5. The torque on a conductor with flux density 23 units, current 1.6A and area 6.75 units will be

a) 248.4

b) 192.6

c) 175.4

d) 256.9

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6. Consider the conductor to be a coil of turns 60 and the flux density to be 13.5 units, current 0.12A and area 16units. The torque will be

a) 1555.2

b) 1222.5

c) 525.1

d) 255.6

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7. The torque of a conductor is defined only in the case when

a) The field is perpendicular to the loop

b) The plane of the loop is parallel to the field

c) The plane of the loop is perpendicular to the current direction

d) The field and the current direction are same

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8. Find the angle at which the torque is minimum.

a) 30

b) 45

c) 60

d) 90

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9. The magnetic moment and torque are related as follows

a) T = BM

b) B = TM

c) M = TB

d) T = M

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10. Calculate the magnetic moment when a field of B= 51 units is subjected to a torque of 20 units.

a) 0.39

b) 4.2

c) 2.55

d) 3.21

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## Set 5

1. Find the curl of E when B is given as 15t.

a) 15

b) -15

c) 7.5

d) -7.5

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2. The charge build up in a capacitor is due to

a) Conduction current density

b) Displacement current density

c) Polarisation

d) Magnetization

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3. The surface integral of which parameter is zero?

a) E

b) D

c) B

d) H

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4. Harmonic electromagnetic fields refer to fields varying sinusoidally with respect to time. State True/False.

a) True

b) False

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5. When electric potential is null, then the electric field intensity will be

a) 0

b) 1

c) dA/dt

d) –dA/dt

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6. The gradient of the magnetic vector potential can be expressed as

a) –με dV/dt

b) +με dE/dt

c) –με dA/dt

d) +με dB/dt

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7. Find the time constant of a capacitor with capacitance of 2 microfarad having an internal resistance of 4 megaohm.

a) 2

b) 0.5

c) 8

d) 0.25

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^{6}and C = 2×10

^{-6}. Thus T = 4×10

^{6}x2x10

^{-6}= 8 seconds.

8. Which components exist in an electromagnetic wave?

a) Only E

b) Only H

c) Both E and H

d) Neither E or H

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9. The propagation of the electromagnetic waves can be illustrated by

a) Faraday law

b) Ampere law

c) Flemming rule

d) Coulomb law

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10. Which one of the following laws will not contribute to the Maxwell’s equations?

a) Gauss law

b) Faraday law

c) Ampere law

d) Curie Weiss law