### 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 / 45

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

2 / 45

Currents of $1A$ and $2A$ are flowing in opposite direction to each other in two concentric coplanar circular loops with radii $1m$ and $2m$. What is the magnitude of magnetic flux density at the center of loop?

3 / 45

A vector quantity has

4 / 45

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

5 / 45

What is the integral form of the boundary condition for the tangential components of the magnetic field intensity for a loop as shown in the figure?

6 / 45

Consider two conductive loops $C_{1}$ and $C_{2}$ placed at close proximity surrounding a surface area of $S_{1}$ and $S_{2}$. If a current $I_{1}$ is flowing through $C_{1}$ producing a total flux of $\Phi _{11}$ with flux density of $B_{1}$. what is the total flux $\Phi _{12}$ passing through the second loop?

7 / 45

Which of the following charge distribution can be used for a parallel plate capacitor with negligible plate thickness?

8 / 45

Which of the following statements correctly describes the relationship of magnetic flux density $B$ and magnetic field intensity $H$ in a magnetic material?

9 / 45

Which of the following statements is correct with regards to Gauss's Law?

10 / 45

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

11 / 45

Two particles with equal and opposite charges of magnitude $1\times 10^{-12} C$ are located $20 cm$ apart. The negative charge is held to the left and the positive charge to the right. What is the magnitude and direction of electric field at the point midway between the charges?

12 / 45

Which of the following is a vector quantity?

13 / 45

A $2C$ charge is placed at origin and a $1C$charge is being shifted from location $(1,0)$ to $(0,1)$. What is the change in the electric potential of the $1C$ charge?

14 / 45

Why is the net electric field of any material in the absence of an external electric field zero even when each of its atoms has individual electric fields?

15 / 45

Which of the following methods can be used for finding the capacitance of a parallel plate capacitor?

16 / 45

Which type of emf is induced in a generator which has a permanent magnet as its source for the magnetic field inside?

17 / 45

What does negative work imply?

18 / 45

What is the equation for voltage $V$ at a distance $r_{1}$ from a point charge $Q_{1}$? Assume that the entire medium surrounding the point charge has a permittivity $\epsilon _{r}$.

19 / 45

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

20 / 45

Which law is applied to calculate the normal component of the magnetic flux density across the boundary of two different media?

21 / 45

What is the unit of capacitance?

22 / 45

Which of the following is incorrect when converting a variable from a cartesian coordinate system to a cylindrical coordinate system?

23 / 45

Which of the following is the expression for Ampere's law?

24 / 45

Two points A and B are placed on opposite ends of the diameter of a circle. A charge is moved from point A to point B through two paths, one through the perimeter of the circle and another through the diameter. Which path has a higher electric potential difference?

25 / 45

What is the unit of volume charge density?

26 / 45

What does unit vector $\hat{a_{\rho }}$ in cylindrical coordinate system represents?

27 / 45

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

28 / 45

What is the emf produced by a time varying magnetic field?

29 / 45

If the normal component of electric field intensity in one medium with relative permittivity $2$ is $24$ $C/m^2$ then what is its value in another medium with relative permittivity $3$ when there is no charge present at the interface of these two media?

30 / 45

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 $3\hat{a_{x}} V/m$?

31 / 45

What is the unit of electric potential?

32 / 45

If current of $3A$ is passing through a circular loop with radius of $0.10m$, find the magnetic field at the center of the circular loop?

33 / 45

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

34 / 45

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

35 / 45

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

36 / 45

A Gaussian surface contains one proton and one electron. What is the total flux through this surface? ($Q_{p}$ -charge of a proton, $\epsilon _{o}$ - permittivity of free space)

37 / 45

Select which option correctly describes the Cartesian coordinate system defined using unit vectors, $\hat{a}_{x}$, $\hat{a}_{y}$, $\hat{a}_{z}$.

38 / 45

A current of $2A$ is flowing through a $12.56m$ long wire formed as a coil of N turns with a diameter $0.2m$. What is the magnetic flux density at its center?

39 / 45

What is the magnetic corollary of a material's electric permittivity?

40 / 45

What is the energy stored in an inductor of inductance $L$ and an instantaneous current $'i'$ flowing through it?

41 / 45

At what angle in degrees between the magnetic field and the velocity of a moving charge will it experience a maximum force?

42 / 45

The difference of two vectors is

43 / 45

Which of the following is incorrect when converting to a cartesian coordinate system?

44 / 45

If the relative permeability of two materials is in ratio $1:2$ then what is the ratio of their actual permeability?

45 / 45

If the relative permittivity of two materials is in ratio of $1:2$ then what is the ratio of their actual permittivity?