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Unit 1 - Practice Quiz

PHY109

1 Which of the following operations, when applied to a scalar field, results in a vector field representing the maximum rate of change?

A. Divergence
B. Gradient
C. Curl
D. Laplacian

2 What is the physical significance of the divergence of a vector field?

A. It represents the circulation of the field.
B. It represents the rate of rotation of the field.
C. It represents the net outward flux per unit volume.
D. It represents the direction of maximum increase.

3 If the divergence of a vector field is zero (), the field is called:

A. Irrotational
B. Solenoidal
C. Conservative
D. Rotational

4 If the curl of a vector field is zero (), the field is said to be:

A. Solenoidal
B. Irrotational
C. Divergent
D. Dynamic

5 Which theorem relates a volume integral to a surface integral?

A. Stokes' Theorem
B. Green's Theorem
C. Gauss's Divergence Theorem
D. Helmholtz Theorem

6 Stokes' Theorem relates which of the following?

A. A line integral and a volume integral
B. A surface integral and a volume integral
C. A line integral and a surface integral
D. Two surface integrals

7 The Laplacian operator acting on a scalar function is mathematically defined as:

A.
B.
C.
D.

8 Poisson's equation for electrostatic potential is given by:

A.
B.
C.
D.

9 Laplace's equation is a special case of Poisson's equation where:

A. The magnetic field is zero
B. The electric field is zero
C. The volume charge density is zero
D. The current density is zero

10 The equation of continuity is a mathematical expression of which conservation law?

A. Conservation of Energy
B. Conservation of Momentum
C. Conservation of Charge
D. Conservation of Mass

11 Which of the following is the differential form of the continuity equation?

A.
B.
C.
D.

12 For steady currents, the continuity equation reduces to:

A.
B.
C.
D.

13 Maxwell's modification to Ampere's Circuital Law was the introduction of:

A. Conduction current
B. Displacement current
C. Eddy current
D. Polarization current

14 The displacement current density is defined as:

A.
B.
C.
D.

15 Maxwell's first equation (Gauss's Law for Electrostatics) in differential form is:

A.
B.
C.
D.

16 Which Maxwell's equation signifies the non-existence of isolated magnetic monopoles?

A.
B.
C.
D.

17 Maxwell's equation derived from Faraday's Law of Electromagnetic Induction is:

A.
B.
C.
D.

18 The Ampere-Maxwell equation (Modified Ampere's Law) is given by:

A.
B.
C.
D.

19 In free space, the volume charge density and conduction current density are:

A.
B.
C.
D.

20 For static electromagnetic fields, Maxwell's equation reduces to:

A.
B.
C.
D.

21 The integral form of Maxwell's equation is:

A.
B.
C.
D.

22 Which vector identity is always zero for any scalar field ?

A.
B.
C.
D.

23 Which vector identity is always zero for any vector field ?

A.
B.
C.
D.

24 The constitutive relation between magnetic flux density and magnetic field intensity in free space is:

A.
B.
C.
D.

25 The constitutive relation between electric displacement and electric field intensity in a linear isotropic dielectric is:

A.
B.
C.
D.

26 Displacement current arises due to:

A. Flow of electrons in a conductor
B. Flow of ions in an electrolyte
C. Time-varying electric field
D. Steady magnetic field

27 In the gap of a charging parallel plate capacitor, which current exists?

A. Conduction current only
B. Displacement current only
C. Both conduction and displacement current
D. No current

28 The unit of displacement current density is:

A. Ampere (A)
B. Ampere/meter (A/m)
C. Ampere/meter (A/m)
D. Coulomb/meter (C/m)

29 Ampere’s Circuital Law is consistent with the conservation of charge only for:

A. Time-varying fields
B. Steady (DC) currents
C. High frequency AC currents
D. Electromagnetic waves

30 A vector field is conservative if:

A. Its divergence is zero
B. Its curl is zero
C. Its gradient is zero
D. Its Laplacian is zero

31 The value of over a closed surface is always:

A.
B. 1
C.
D. Depends on

32 Electric field lines originate from charges and terminate on charges.

A. Negative, Positive
B. Positive, Negative
C. North, South
D. South, North

33 Which of the following represents the integral form of Faraday's Law?

A.
B.
C.
D.

34 What is the relation between the velocity of light , permittivity , and permeability ?

A.
B.
C.
D.

35 A field given by is:

A. Rotational
B. Solenoidal
C. Divergent
D. Constant

36 If , what is ?

A.
B.
C.
D. $2$

37 Maxwell's equations relate:

A. Electric field and gravitational field
B. Electric field and magnetic field
C. Magnetic field and nuclear field
D. Static charges only

38 Which term in the Ampere-Maxwell equation is responsible for the production of a magnetic field in empty space (e.g., between capacitor plates)?

A.
B.
C.
D.

39 The total current density in Maxwell's curl H equation is:

A.
B.
C.
D.

40 In a region where , the electric field is:

A. Solenoidal
B. Irrotational
C. Zero
D. Infinite

41 Which quantity is a scalar?

A. Electric Field Intensity
B. Magnetic Field Intensity
C. Electric Potential
D. Current Density

42 The operator is known as:

A. Delta
B. Del or Nabla
C. Laplacian
D. Sigma

43 Which of the following is NOT a Maxwell equation?

A.
B.
C.
D.

44 If a vector field is constant uniform, its divergence is:

A. Zero
B. Infinite
C. One
D. Variable

45 Which theorem allows the conversion of Maxwell's equations from differential to integral form?

A. Kelvin's Theorem
B. Stokes' and Gauss's Theorems
C. Pythagoras Theorem
D. Thevenin's Theorem

46 In the equation , stands for:

A. Electric Field
B. Electric Displacement
C. Dipole Moment
D. Dielectric Constant

47 The physical meaning of in electrostatics is:

A. Work done around a closed path is zero
B. Work done is infinite
C. Energy is dissipated
D. Magnetic field is generated

48 Conduction current is caused by:

A. Bound charges
B. Drift of free electrons
C. Change in flux
D. Dipole alignment

49 Which of the following equations represents the Principle of Conservation of Magnetic Flux?

A.
B.
C.
D.

50 For a time-varying field, the electric field is:

A. Conservative
B. Non-conservative
C. Zero
D. Uniform