Theory-based Quiz

Basics of Electromagnetics Theory-based Quiz

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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 time - 60 mins.

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 $2\hat{x}+3\hat{y}-\hat{z}$ ?

$-4$ $A/m$

$-4.5$ $A/m$

$Zero$

$4$ $A/m$

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?

Zero

$1.428\times 10^{6}$ $T$

$1.428\times 10^{-6}$ $T$

None of the options are correct

3 / 45

A vector quantity has

Magnitude

Direction

None of the options are correct

Both magnitude and direction

4 / 45

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

Radial inward vector heading towards origin

Radial outward vector with initial point at origin

A vector parallel with the z-axis

Radial outward vector with initial point on z-axis

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?

$\int_{s} \bar{H}\cdot ds=0$

$I=\int_{abcd} \bar{H}\cdot \bar{dl}$, where $I$ is the current enclosed by the loop $abcd$

$\oint_{s} \bar{H}\cdot ds=0$

$I=\oint_{abcd} \bar{H}\cdot \bar{dl}$, where $I$ is the current enclosed by the loop $abcd$

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?

$\Phi _{12} = \int_{s_{1}}^{}\bar{B_{1}}\cdot \bar{ds_{2}}$

$\Phi _{12} = \bar{B_{1}}\cdot \bar{ds_{2}}$

$\Phi _{12} = \int_{s_{2}}^{}\bar{B_{1}}\cdot \bar{ds_{2}}$

$\Phi _{12} =\int_{s_{1}}^{} \frac{\bar{B_{1}}\cdot \bar{ds_{2}}}{2}$

7 / 45

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

None of the options are correct

Line charge distribution

Surface charge distribution

Volume charge distribution

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?

$\bar{H}=\mu \bar{B}$

$\bar{B}=\mu/\bar{H}$

$\bar{B}=\mu \bar{H}$

$\bar{B}=\mu_{0} \bar{H}$

9 / 45

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

Gauss's law tells about force between two charges

Gauss's law tells about how much total charge is enclosed inside a volume

Gauss's law tells about charge distribution inside a volume

None of the options are correct

10 / 45

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

Absolute permeability

Absolute permittivity

Relative permittivity

Relative permeability

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?

$1.79$ $N/C$ to the right

$0.898$ $N/C$ to the left

$0.898$ $N/C$ to the right

$1.79$ $N/C$ to the left

12 / 45

Which of the following is a vector quantity?

Charge

Energy

Volume

Electric field

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?

$1.71$ $volt$

Insufficient information

$-1.71$ $volt$

Zero

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?

The electric fields of individual atoms are oriented in the random directions

None of the options are correct

Half of the total atoms are aligned in opposite direction to the remaining atoms

Half of the total atoms rotate in clockwise direction while the remaining half rotate in counter clockwise direction

15 / 45

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

Test flux method

None of the options are correct

Test force method

Test charge method

16 / 45

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

None of the options are correct

Motional emf

Transformer emf

Rotational emf

17 / 45

What does negative work imply?

Work is done against the field

None of the options is correct

Work is done by the field

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 $\epsilon _{r}$.

$V= \frac{Q_{1}}{4\prod \epsilon _{0}\epsilon _{r} r_{1}^2} $

$V= \frac{Q_{1}}{4\prod \epsilon _{r} r_{1}} $

$V= \frac{Q_{1}}{4\prod \epsilon _{0}\epsilon _{r} r_{1}} $

$V= \frac{Q_{1}}{4\prod \epsilon _{r} r_{1}^2} $

19 / 45

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

$\vec{D} =\varepsilon _{r}\varepsilon _{0}\vec{E}$ for a homogeneous isotropic medium

All the options are correct

$\vec{D} =\varepsilon _{0}\vec{E}$ for vacuum

The relationship between $\vec{D}$ and $\vec{E}$ involves convolution for media where the material may not respond instantaneously to the applied field

20 / 45

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

Newton's law

Ampere's law

Gauss's law for magnetostatic fields

Biot-Savart's law

21 / 45

What is the unit of capacitance?

Volt

Henry

Coulomb

Farad

22 / 45

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

None of the options are correct

$\rho=\sqrt{x^{2}+y^{2}}$

$Z_{cartesian}=Z_{cylindrical}$

$\phi = \tan^{-1}{(x/y)}$

23 / 45

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

$\bigtriangledown \times \bar{H}=\mu\bar{I}$

$\bigtriangledown \times \bar{B}=\mu\bar{I}$

$\bigtriangledown \times \bar{H}=\mu\bar{J}$

$\bigtriangledown \times \bar{B}=\mu\bar{J}$

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?

Both paths have the same electric potential difference

Insufficient information

Path along the diameter of circle

Path along the perimeter of circle

25 / 45

What is the unit of volume charge density?

Coulomb per meter squared

Coulomb per meter cubed

Coulomb per meter

Coulomb

26 / 45

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

Radial inward vector heading towards origin

Radial outward vector with initial point at origin

Radial outward vector with initial point on z-axis

A vector parallel with the z-axis

27 / 45

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

Ratio of voltage to current

Ratio of charge to voltage

Ratio of current to resistance

Ratio of voltage to charge

28 / 45

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

None of the options are correct

Rotational emf

Transformer emf

Motional emf

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?

$16$ $C/m^2$

$6$ $C/m^2$

$8$ $C/m^2$

$24$ $C/m^2$

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

$15$ J

$14$ J

$13$ J

$12$ J

31 / 45

What is the unit of electric potential?

Joule

Coulomb

Volt

Watt

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?

$4\times 10^{-6}$ $T$

$5\times 10^{-6}$ $T$

$3\times 10^{-6}$ $T$

$6\times 10^{-6}$ $T$

33 / 45

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

$\hat{a_{A}}=\vec{A}/\vec{A}$

$\hat{a_{A}}=\vec{A}/1$

$\hat{a_{A}}= A\vec{A}$

$\hat{a_{A}}=\vec{A}/A$

34 / 45

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

$\bar{B} = \mu _{0}\bar{H}$

$\bar{H} = \mu _{0}\bar{B}$

$\bar{B} = \mu\bar{H}$

$\bar{H} = \mu\bar{B}$

35 / 45

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

$5\hat{x}-2\hat{y}$

$5\hat{x}+2\hat{y}$

$\frac{50\hat{x}}{\sqrt{5}} - \frac{20\hat{y}}{\sqrt{5}}$

$\frac{20\hat{x}}{\sqrt{5}} - \frac{50\hat{y}}{\sqrt{5}}$

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)

$Q_{p}/\epsilon _{o}$

$-Q_{p}/\epsilon _{o}$

None of the options are correct

Zero

37 / 45

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

Right-handed progression

Left-handed progression

None of the options are correct

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?

$7.28\times 10^{-4}$ $T$

$2.512\times 10^{4}$ $T$

$2.512\times 10^{-4}$ $T$

$6.28\times 10^{-4}$ $T$

39 / 45

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

Magnetic field

Magnetic permeability

Magnetic resonance

Magnetic induction

40 / 45

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

$W_{m} = \frac{1}{2}Li^{2}$

$W_{m} = Li^{2}$

$W_{m} = \frac{1}{2}Li$

$W_{m} = \frac{1}{3}Li^{2}$

41 / 45

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

$180^{\circ}$

$45^{\circ}$

$0^{\circ}$

$90^{\circ}$

42 / 45

The difference of two vectors is

A scalar

None of the options are correct

A unit vector

A vector

43 / 45

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

$x = \rho\times cos(\phi )$

None of the options are correct

$y = \rho\times sin(\theta )$

$Z_{cylindrical}=Z_{cartesian}$

44 / 45

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

$1:1$

$2:1$

$1:2$

$1:4$

45 / 45

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

$2:1$

$1:2$

$1:1$

$1:4$

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