### Basics of Electromagnetics

Certification Exam

# Theory-based Quiz

### Before you Begin

• This certification test is 1 hour in timed duration and is based on comprehension and understanding obtained from the lecture videos and handouts.
• There may be both single-answer and multiple-answer questions. No partial credit will be awarded for questions with multiple answers.
• If you get stuck, you can skip the current question and navigate between the different questions by using the "Previous" and "Next" buttons.
• The passing grade for the theory section is 75%.
• Click on 'Basics of Electromagnetics Test' below to start the exam. You cannot pause the test once it is started.

Good Luck!

#### Total number of Questions - 45

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Basics of Electromagnetics

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1 / 162

If the electric flux density $D$ in a dielectric ($\epsilon _{r} = 2.5$) is $100$ $C/m^{2}$ then what is the electric field through it?

2 / 162

What happens to the electric field when the applied voltage to the terminals of a capacitor increases?

3 / 162

What is the unit of magnetic field intensity?

4 / 162

Which of the following would pass through a magnetic field without deflection, if thrown at an angle of $45^{\circ}$ to the magnetic field?

5 / 162

What is the electric potential at infinity?

6 / 162

Given the direction of current, how will you determine the direction of magnetic field around a current carrying conductor?

7 / 162

What are the three-unit vectors in a cylindrical coordinate system?

8 / 162

A proton is kept at origin $(0,0,0)$. What happens to the proton, if a magnetic field is applied in the direction of the positive z-axis?

9 / 162

What material parameter is used to determine the effect of an applied electric field?

10 / 162

Which component of electric field is continuous across the boundary of two different media?

11 / 162

If the vector dot product of two vectors is $0$, then both the vectors are______ to each other.

12 / 162

What is the electrostatic energy in a system with an electric flux density $(D)$ $10\hat{a_{x}} C/m^2$ and electric field intensity $(E)$ of $3\hat{a_{x}} V/m$?

13 / 162

In the absence of surface current, if the normal component of magnetic flux density in one medium with relative permeability $2$ is $2.5$ $T$ then what will be its value in another medium with relative permeability $3$?

14 / 162

Which of the following phenomenon is associated with the magnetic field?

15 / 162

What does negative work imply?

16 / 162

If the magnetic flux through a stationary loop that is perpendicular to the magnetic field has a density of $\phi = e^{-5t}$ $Wb$ then what is the induced voltage at $t = 0$ second?

17 / 162

Which of the following statements incorrectly describes a spherical coordinate system?

18 / 162

What is ($\vec{A}-\vec{B})\times(\vec{A}+\vec{B}$) ?

19 / 162

Which of the following quantities can be used to define capacitance?

20 / 162

Which statement correctly describes a unit vector $\hat{a}_{r}$  in a spherical coordinate system?

21 / 162

What are the three-unit vectors in a spherical coordinate system?

22 / 162

What is the relationship between the electric flux density $D$ and electric field $E$ in free space?

23 / 162

Which of the following represents a unit of electric flux density?

24 / 162

Which statement is incorrect for a cylindrical coordinate system?

25 / 162

What direction does the gradient of any scalar function point?

26 / 162

What is the electric field inside a conductor?

27 / 162

Fill in the blanks:
_____ of magnetic flux density is zero. This is known as _____.

28 / 162

What is the capacitance of the parallel plate capacitor of width $2$ $cm$, length $5$ $cm$ separated by a distance $1$ $cm$ and filled with a dielectric of relative permittivity $5$?

29 / 162

What is the net force experienced by a current carrying loop in the presence of a magnetic field as shown in the following figure? (where, $I$ is the current flowing in the loop and $B$ is the magnitude of the magnetic flux density.)

30 / 162

What assumption about the electric field are you making with a bulk material parameter approximation?

31 / 162

A hollow sphere has a radius of $1$ $unit$ with a $+2C$ charge at its center and $-2C$ charge at a point $0.5$ $units$ away from its center. What is the total flux through its surface?

32 / 162

What is the net work done if a $-4 C$ charge is moved from point $(2,2)$ to $(0,0)$ in a region where the electric field is $+10\hat{a}_{x}$?

33 / 162

What is the magnitude of a unit vector?

34 / 162

Which of the following is a vector quantity?

35 / 162

Which one is the correct relationship between the magnetic flux density $(B)$ and the magnetic field $(H)$ in a vacuum?

36 / 162

What is the capacitance if the applied voltage to the capacitor terminals is $5$ $mV$ and the accumulated charge is $10$ $nC$?

37 / 162

What happens to the electric fields of the individual atoms if an external electric field is applied?

38 / 162

What is the definition of a unit vector for $\hat{a_{A}}$ ?

39 / 162

What is the magnetic field $B$ at a distance $r$ from an infinite length of wire carrying current $I$?

40 / 162

What is the expression for the voltage across an inductor with inductance $L$ if a time varying current $i$ is flowing through it?

41 / 162

Select the equation for electrostatic energy density stored in a medium of relative permittivity $\epsilon _{r}$ where $E$ represents the electric field intensity.

42 / 162

Which law states that the induced flux in a loop opposes its source?

43 / 162

Which one of the following equations calculates the work done when moving an object from point $A$ to point $B$ under the influence of force $F$?

44 / 162

What is the expression for voltage formed between the plates of a capacitor as shown below? (where, $Q$ is the charge accumulated on each plate, $V$ is the applied voltage, $bar{E}$ is the applied electric field, $\bar{dl}$ is the differential element, $\varepsilon$ is the actual permittivity of the medium between the parallel plates, $w$ is the width of the plates, $l$ is the length of the plates and $d$ is the separation between the plates.)

45 / 162

Which of the following fields are associated with moving charge particles?

46 / 162

Which of the following are true for the relationship between electric field and electric flux density?

47 / 162

Which of the following vector is parallel to $2\hat{x}-5\hat{y}$?

48 / 162

Find the magnitude of the magnetic field intensity if the magnetic vector potential is $2\hat{x}+3\hat{y}-\hat{z}$ ?

49 / 162

If the tangential component of the electric flux density in one medium with relative permittivity $3$ is $20$ $V/m$ then what will be its value in another medium with relative permittivity $2$ when there is no charge present at the interface of these two media?

50 / 162

What is the voltage across an inductor of inductance $2$ $mH$ if the current passing through it is given by $e^{-2t} A$?

51 / 162

If multiple charges are present in a certain region, what is the total electric field equal to?

52 / 162

What is the unit of magnetic flux density?

53 / 162

In which direction is the electric field of the atoms in a conducting material aligned when an external electric field is applied to it?