# Multiple choice question for engineering

## Set 1

1. The divergence of which quantity will be zero?

a) E

b) D

c) H

d) B

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2. Find the charge density when the electric flux density is given by 2x i + 3y j + 4z k.

a) 10

b) 9

c) 24

d) 0

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3. Find the Maxwell equation derived from Faraday’s law.

a) Div(H) = J

b) Div(D) = I

c) Curl(E) = -dB/dt

d) Curl(B) = -dH/dt

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4. Find the Maxwell law derived from Ampere law.

a) Div(I) = H

b) Div(H) = J

c) Curl(H) = J

d) Curl(B) = D

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5. The Faraday’s law states about which type of EMF?

a) Transformer EMF

b) Back EMF

c) Generator EMF

d) Secondary EMF

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6. In which of the following forms can Maxwell’s equation not be represented?

a) Static

b) Differential

c) Integral

d) Harmonic

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7. The charge build up in the capacitor is due to which quantity?

a) Conduction current

b) Displacement current

c) Convection current

d) Direct current

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8. In metals which of the following equation will hold good?

a) Curl(H) = J

b) Curl(J) = dD/dt

c) Curl(H) = D

d) Curl(J) = dB/dt

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9. Find the flux enclosed by a material of flux density 12 units in an area of 80cm.

a) 9.6

b) 12/80

c) 80/12

d) 12/0.8

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10. Find the electric flux density of a material with charge density 16 units in unit volume.

a) 1/16

b) 16t

c) 16

d) 162

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## Set 2

1. The first Maxwell law is based on which law?

a) Ampere law

b) Faraday law

c) Lenz law

d) Faraday and Lenz law

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2. The benefit of Maxwell equation is that

a) Any parameter can be calculated

b) Antenna can be designed

c) Polarisation of the wave can be calculated

d) Transmission line constants can be found

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3. The correct sequence to find H, when D is given is

a) D-E-B-H

b) D-B-E-H

c) It cannot be computed from the data given

d) D-H

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4. The curl of the electric field intensity is

a) Conservative

b) Rotational

c) Divergent

d) Static

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5. Which of the following identities is always zero for static fields?

a) Grad(Curl V)

b) Curl(Div V)

c) Div(Grad V)

d) Curl(Grad V)

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6. Find the Maxwell first law value for the electric field intensity is given by A sin wt az

a) 0

b) 1

c) -1

d) A

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7. Find the electric field applied on a system with electrons having a velocity 5m/s subjected to a magnetic flux of 3.6 units.

a) 15

b) 18

c) 1.38

d) 0.72

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8. Which of the following relations holds good?

a) Bq = ILE

b) E = ILBq

c) Eq = ILB

d) B = ILEq

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9. When the Maxwell equation is expressed in frequency domain, then which substitution is possible?

a) d/dt = w/j

b) d/dt = j/w

c) d/dt = jw

d) Expression in frequency domain is not possible

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10. Calculate the emf of a material having a flux linkage of 2t^{2} at time t = 1second.

a) 2

b) 4

c) 8

d) 16

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^{2}, the emf is 4t. At t = 1 sec, the emf will be 4 units.

11. Calculate the emf of a material having flux density 5sin t in an area of 0.5 units.

a) 2.5 sin t

b) -2.5 cos t

c) -5 sin t

d) 5 cos t

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12. To find D from B, sequence followed will be

a) B-E-D

b) B-H-D

c) E-H-D

d) E-B-D

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## Set 3

1. Maxwell second equation is based on which law?

a) Ampere law

b) Faraday law

c) Lenz law

d) Coulomb law

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2. The Maxwell second equation that is valid in any conductor is

a) Curl(H) = Jc

b) Curl(E) = Jc

c) Curl(E) = Jd

d) Curl(H) = Jd

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3. In dielectric medium, the Maxwell second equation becomes

a) Curl(H) = Jd

b) Curl(H) = Jc

c) Curl(E) = Jd

d) Curl(E) = Jd

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4. Find the displacement current density of a material with flux density of 5sin t

a) 2.5cos t

b) 2.5sin t

c) 5cos t

d) 5sin t

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5. Find the conduction current density of a material with conductivity 200units and electric field 1.5 units.

a) 150

b) 30

c) 400/3

d) 300

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6. Calculate the conduction density of a material with resistivity of 0.02 units and electric intensity of 12 units.

a) 300

b) 600

c) 50

d) 120

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7. In the conversion of line integral of H into surface integral, which theorem is used?

a) Green theorem

b) Gauss theorem

c) Stokes theorem

d) It cannot be converted

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8. An implication of the continuity equation of conductors is given by

a) J = σ E

b) J = E/σ

c) J = σ/E

d) J = jwEσ

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9. Find the equation of displacement current density in frequency domain.

a) Jd = jwεE

b) Jd = jwεH

c) Jd = wεE/j

d) Jd = jεE/w

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10. The total current density is given as 0.5i + j – 1.5k units. Find the curl of the magnetic field intensity.

a) 0.5i – 0.5j + 0.5k

b) 0.5i + j -1.5k

c) i – j + k

d) i + j – k

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11. At dc field, the displacement current density will be

a) 0

b) 1

c) Jc

d) ∞

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12. Both the conduction and displacement current densities coexist in which medium?

a) Only conductors in air

b) Only dielectrics in air

c) Conductors placed in any dielectric medium

d) Both the densities can never coexist

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## Set 4

1. The charge density of a electrostatic field is given by

a) Curl of E

b) Divergence of E

c) Curl of D

d) Divergence of D

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2. In the medium of free space, the divergence of the electric flux density will be

a) 1

b) 0

c) -1

d) Infinity

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3. In a medium other than air, the electric flux density will be

a) Solenoidal

b) Curl free

c) Irrotational

d) Divergent

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4. For a solenoidal field, the surface integral of D will be,

a) 0

b) 1

c) 2

d) 3

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5. In a dipole, the Gauss theorem value will be

a) 1

b) 0

c) -1

d) 2

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6. Find the electric flux density of a material whose charge density is given by 12 units in a volume region of 0.5 units.

a) 12

b) 24

c) 6

d) 48

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7. From the Gauss law for electric field, we can compute which of the following parameters?

a) B

b) H

c) E

d) A

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8. The charge density of a system with the position vector as electric flux density is

a) 0

b) 1

c) 2

d) 3

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9. The sequence for finding E when charge density is given is

a) E-D-ρv

b) E-B-ρv

c) E-H-ρv

d) E-V-ρv

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10. The Gauss law employs which theorem for the calculation of charge density?

a) Green theorem

b) Stokes theorem

c) Gauss theorem

d) Maxwell equation

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## Set 5

1. Which quantity is solenoidal in the electromagnetic theory?

a) Electric field intensity

b) Electric flux density

c) Magnetic field intensity

d) Magnetic flux density

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2. Which equation will be true, if the medium is considered to be air?

a) Curl(H) = 0

b) Div(H) = 0

c) Grad(H) = 0

d) Div(H) = 1

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3. Find the sequence to find B when E is given.

a) E-D-H-B

b) B-E-D

c) H-B-E-D

d) V-E-B

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4. The Gauss law for magnetic field is valid in

a) Air

b) Conductor

c) Dielectric

d) All cases

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5. The sequence for finding H from E is

a) E-B-H

b) E-V-H

c) E-D-H

d) E-A-H

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6. The reason for non existence of magnetic monopoles is

a) The magnetic field cannot be split

b) Due to permeability

c) Due to magnetization

d) Due to magnetostriction

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7. The non existence of the magnetic monopole is due to which operation?

a) Gradient

b) Divergence

c) Curl

d) Laplacian

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8. Will dielectric breakdown lead to formation of magnetic monopole?

a) Yes

b) No

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9. Which equation will hold good for a magnetic material?

a) Line integral of H is zero

b) Surface integral of H is zero

c) Line integral of B is zero

d) Surface integral of B is zero

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10. The dipole formation in a magnet is due to

a) Interaction between the north and south poles together

b) Interaction between the north pole with the air

c) Interaction between the south pole with the air

d) Interaction of north and south pole separately with air