1 $Which of the following best describes the gradient of a scalar field?$

A.

It is a scalar quantity representing the total flux.

B.

It is a vector quantity representing the maximum rate of change of the field.

C.

It is a vector quantity representing the rotational effect of the field.

D.

It is a scalar quantity representing the source density.

2 $If is a scalar function, what is the mathematical expression for its gradient?$

A.

B.

C.

D.

3 $The divergence of a vector field is a:$

A.

Vector quantity

B.

Scalar quantity

C.

Tensor quantity

D.

Phasor quantity

4 $What does a positive divergence of a vector field at a point indicate?$

A.

The point is a sink.

B.

The point is a source.

C.

The field is solenoidal.

D.

The field is rotational.

5 $A vector field is said to be solenoidal if:$

A.

B.

C.

D.

6 $The curl of a vector field gives a measure of:$

A.

The net outflow of flux.

B.

The rate of change of the field magnitude.

C.

The rotation or circulation of the field.

D.

The scalar potential of the field.

7 $If, the vector field is called:$

A.

Solenoidal

B.

Irrotational (Conservative)

C.

Divergent

D.

Rotational

8 $Which of the following vector identities is always zero?$

A.

B.

C.

D.

9 $Gauss's Divergence Theorem relates:$

A.

A line integral to a surface integral.

B.

A surface integral to a volume integral.

C.

A line integral to a volume integral.

D.

Two surface integrals.

10 $Mathematically, Stokes' Theorem is expressed as:$

A.

B.

C.

D.

11 $The Poisson's equation for electrostatics is given by:$

A.

B.

C.

D.

12 $In a charge-free region (), Poisson's equation reduces to:$

A.

Maxwell's equation

B.

Continuity equation

C.

Laplace's equation

D.

Ampere's equation

13 $The operator is known as the:$

A.

Gradient

B.

Divergence

C.

Laplacian

D.

Curl

14 $The equation of continuity is based on the principle of:$

A.

Conservation of energy

B.

Conservation of momentum

C.

Conservation of charge

D.

Conservation of mass

15 $For steady currents, the continuity equation reduces to:$

A.

B.

C.

D.

16 $Ampere's Circuital Law in its original form (for steady currents) states that:$

A.

B.

C.

D.

17 $Why did Maxwell modify Ampere's Circuital Law?$

A.

To account for magnetic monopoles.

B.

To satisfy the principle of conservation of energy.

C.

To satisfy the continuity equation for time-varying fields.

D.

To calculate the force on a moving charge.

18 $The term introduced by Maxwell to modify Ampere's Law is called:$

A.

Conduction current

B.

Eddy current

C.

Displacement current

D.

Convection current

19 $The displacement current density is given by:$

A.

B.

C.

D.

20 $Displacement current exists in:$

A.

Only good conductors.

B.

Only perfect insulators.

C.

Regions where the electric field is changing with time.

D.

Regions where the magnetic field is constant.

21 $Maxwell's first equation (based on Gauss's Law for Electrostatics) in differential form is:$

A.

B.

C.

D.

22 $Maxwell's second equation,, signifies that:$

A.

Electric monopoles exist.

B.

Magnetic monopoles do not exist.

C.

Magnetic field is conservative.

D.

Electric field is solenoidal.

23 $Maxwell's third equation is derived from which law?$

A.

Gauss's Law

B.

Ampere's Law

C.

Faraday's Law of Electromagnetic Induction

D.

Lenz's Law

24 $The integral form of Maxwell's equation is:$

A.

B.

C.

D.

25 $The modified Ampere's Circuital Law (Maxwell's 4th equation) in differential form is:$

A.

B.

C.

D.

26 $In free space (), Maxwell's equations become symmetric. Which of the following represents the curl of in free space?$

A.

B.

C.

D.

27 $Which physical quantity is represented by the surface integral ?$

A.

Electric potential

B.

Electric Flux

C.

Current

D.

Magnetic Flux

28 $The constitutive relation relating Magnetic Flux Density () and Magnetic Field Intensity () in a linear isotropic medium is:$

A.

B.

C.

D.

29 $Identify the unit of the Displacement Current Density.$

A.

Ampere (A)

B.

Ampere per meter ()

C.

Ampere per square meter ()

D.

Coulomb per meter ()

30 $Which of Maxwell's equations explains that time-varying electric fields produce magnetic fields?$

A.

B.

C.

D.

31 $What is the physical significance of ?$

A.

Current generates a magnetic field.

B.

Charge can be created and destroyed.

C.

Rate of charge outflow equals the rate of decrease of charge inside.

D.

Electric field lines originate from positive charges.

32 $For static electromagnetic fields (time-independent), Maxwell's equations decouple into:$

A.

Electrostatics and Magnetostatics

B.

Optics and Thermodynamics

C.

Quantum Mechanics and Relativity

D.

Wave equations

33 $In the equation, the vector represents:$

A.

Power density

B.

Permeability

C.

Polarization density

D.

Poynting vector

34 $Using Stokes' Theorem, implies:$

A.

B.

C.

is time-varying.

D.

is solenoidal.

35 $Which quantity in Maxwell's equations represents the 'magnetic current density' (fictitious)?$

A.

B.

C.

There is no magnetic current density in standard Maxwell equations.

D.

36 $The divergence of the curl of the magnetic vector potential (where) is:$

A.

B.

C.

0

D.

37 $The electric field inside a perfect conductor is:$

A.

Infinite

B.

Zero

C.

Equal to surface charge density

D.

Dependent on the current

38 $What happens to the displacement current in a DC circuit after the capacitor is fully charged?$

A.

It becomes maximum.

B.

It becomes infinite.

C.

It becomes zero.

D.

It remains constant.

39 $The consistency of Maxwell's equations leads to the prediction of:$

A.

Sound waves

B.

Electromagnetic waves

C.

Gravitational waves

D.

Matter waves

40 $The velocity of electromagnetic waves in free space is given by:$

A.

B.

C.

D.

41 $In the expression, stands for:$

A.

Dielectric constant

B.

Displacement current

C.

Electric Flux Density

D.

Dipole moment

42 $Which of the following conditions represents a static magnetic field?$

A.

and

B.

and

C.

D.

43 $The Laplacian of a scalar field is equivalent to:$

A.

B.

C.

D.

44 $Which theorem allows the conversion of Maxwell's equations from differential to integral form?$

A.

Only Gauss's Divergence Theorem

B.

Only Stokes' Theorem

C.

Both Gauss's Divergence and Stokes' Theorems

D.

Green's Theorem only

45 $In a parallel plate capacitor, the conduction current exists:$

A.

In the dielectric between plates.

B.

In the connecting wires.

C.

Both in wires and dielectric.

D.

Nowhere.

46 $If is the position vector, what is ?$

A.

0

B.

1

C.

3

D.

47 $A vector field is defined as . This field is:$

A.

Solenoidal but not Irrotational

B.

Irrotational but not Solenoidal

C.

Both Solenoidal and Irrotational

D.

Neither Solenoidal nor Irrotational

48 $Which Maxwell equation implies that electric field lines originate on positive charges and terminate on negative charges?$

A.

B.

C.

D.

49 $The ratio of conduction current density to displacement current density () in a material determines:$

A.

Whether it behaves as a conductor or dielectric.

B.

The magnetic permeability.

C.

The breakdown voltage.

D.

The speed of light in the material.

50 $What is the unit of the Poynting Vector ()?$

A.

Watts ()

B.

Joules ()

C.

Watts per square meter ()

D.

Newtons ()

Unit 1 - Practice Quiz