This is the Multiple Choice Questions Part 1 of the Series in Engineering Electromagnetics as one of the Electronics Engineering topic. In Preparation for the ECE Board Exam make sure to expose yourself and familiarize in each and every questions compiled here taken from various sources including but not limited to past Board Exam Questions in Electronics Engineering field, Electronics Books, Journals and other Electronics References.

### PRC Board of Electronics Engineering Examination Syllabi (ECE Board)

The licensure exam shall cover different areas in the field of Electronics Engineering as prescribed by the Board. Under the Implementing Rules and Regulation of R.A. 9292, the licensure exam shall compose of four subjects each with 100 items covering different areas and with its own bearing to the overall rating. The applicant shall have a general weighted average of more than 70% and a grade above 70% for each subject areas to pass the licensure exam.

#### MCQ Topic Outline: Electromagnetic/Vector Analysis

- MCQ in Algebra of vectors
- MCQ in Vector Product
- MCQ in Vector Calculus
- MCQ in Vector Identities
- MCQ in Derivative of vector functions
- MCQ in Directional derivative, gradient, divergence, curl
- MCQ in Integral Theorems, Green’s Lemma, Divergence Theorem and Strokes’ Theorem

#### MCQ Topic Outline: Electromagnetics

- MCQ in Steady Electric and Magnetic Fields
- MCQ in Dielectric and Magnetic Materials
- MCQ in Resonance
- MCQ in Coupled and Magnetic Circuits
- MCQ in Time-varying Fields and Maxwell’s Equation

#### Start Practice Exam Test Questions Part 1 of the Series

**Choose the letter of the best answer in each questions.**

1. A scalar quantity has __________.

A. magnitude

B. direction

C. both (a) and (b)

D. none of these

Answer: **Option A**

Solution:

2. Which of the following is/are scalar quantity(s)?

A. distance

B. density

C. temperature

D. all of these

Answer: **Option D**

Solution:

3. Which of the following is not a scalar quantity?

A. entropy

B. displacement

C. volume

D. mas

Answer: **Option B**

Solution:

4. A vector quantity has __________.

A. magnitude

B. direction

C. both (a) and (b)

D. none of these

Answer: **Option C**

Solution:

5. Which of the following is/are vector quantity(s)?

A. force

B. electric field intensity

C. acceleration

D. all of these

Answer: **Option D**

Solution:

6. A unit vector has its magnitude as ____________.

A. 0

B. 1

C. ∞

D. none of these

Answer: **Option B**

Solution:

7. A unit vector has _______ direction to that of the main vector.

A. same

B. opposite

C. normal upwards

D. normal downwards

Answer: **Option A**

Solution:

8. A vector P in Cartesian coordinates is represented by ____________.

A. (Px, Pφ, Pz)

B. (Px, Py, Pz)

C. (Px, Pφ, Pθ)

D. none of these

Answer: **Option B**

Solution:

9. ________ of two vectors uses the Law of Parallelogram.

A. multiplication

B. division

C. addition

D. all of these

Answer: **Option C**

Solution:

10. Multiplication of two vectors is __________.

A. vector

B. scalar

C. either vector or scalar

D. cannot say

Answer: **Option C**

Solution:

11. If two vectors are orthogonal, then their scalar product is __________.

A. 1

B. 0

C. ∞

D. 100

Answer: **Option B**

Solution:

12. ___________ product is governed by the Right-Hand Screw Rule.

A. vector

B. scalar

C. simple mathematical

D. none of these

Answer: **Option A**

Solution:

13. The vector product obeys the __________ law.

A. Commutative

B. Associative

C. Distributive

D. Parallelogram

Answer: **Option C**

Solution:

14. The cross product of the same vector to itself is ____________.

A. 0

B. 1

C. ∞

D. 100

Answer: **Option A**

Solution:

15. ____________ product of two unit vectors is the third unit vector.

A. vector

B. scalar

C. both (a) and (b)

D. none of these

Answer: **Option A**

Solution:

16. ‘r’ in Cylindrical coordinates corresponding to Cartesian coordinate(3, 4, 5) is ____________.

A. 12

B. 7

C. 10

D. 5

Answer: **Option D**

Solution:

17. In a Cartesian coordinate system, axes x, y and z are at __________to each other.

A. 45°

B. 90°

C. 120°

D. 180°

Answer: **Option B**

Solution:

18. Cartesian coordinates are represented in terms of ___________.

A. (r, φ, z)

B. (r, θ, φ)

C. (x, y, z)

D. all of these

Answer: **Option C**

Solution:

19. Cylindrical coordinates are represented in terms of ____________.

A. (r, φ, z)

B. (r, θ, φ)

C. (x, y, z)

D. all of these

Answer: **Option A**

Solution:

20. Spherical coordinates are represented in terms of ___________.

A. (r, φ, z)

B. (r, θ, φ)

C. (x, y, z)

D. all of these

Answer: **Option B**

Solution:

21. In Cylindrical coordinate systems, unit vector *a*r is __________.

A. directed outwards radially

B. normal to cylindrical surface at a point

C. both (a) and (b)

D. none of these

Answer: **Option C**

Solution:

22. Cylindrical coordinate ‘r’ is related to the Cartesian coordinate as__________.

A. (x, y)

B. (x + y)

C. (x^{2}/y^{2})

D. (x^{2} + y^{2})^{1/2}

Answer: **Option D**

Solution:

23. Cylindrical coordinate ‘z’ is related to the Cartesian coordinate as__________.

A. tan^{−1}(y/x)

B. z

C. xy/z

D. cot z

Answer: **Option B**

Solution:

24. In a Spherical coordinate system, φ is ____________.

A. angle of elevation

B. azimuthal angle

C. distant from the origin to the point

D. all of these

Answer: **Option B**

Solution:

25. Spherical coordinate system is a _________.

A. right-handed system.

B. left-handed system

C. both (a)and (b)

D. none of these

Answer: **Option A**

Solution:

26. In a Spherical coordinate system, φ is given as _________.

A. y/x

B. x/y

C. tan^{−1}(y/x)

D. tan^{−1}(x/y)

Answer: **Option C**

Solution:

27. In a Spherical coordinate system, r is given as ___________.

A. (x + y + z)

B. (x^{2} + y^{2} + z^{2})

C. (x^{2} + y^{2} + z^{2})^{1/2}

D. none

Answer: **Option C**

Solution:

28. For transformation from the Cartesian coordinate system to Spherical coordinate system, *ap* should be equal to ____________.

A. cos θ

B. −cos θ

C. sin θ

D. −sin θ

Answer: **Option A**

Solution:

29. In terms of Spherical coordinate system variables, y of Cartesian coordinate system is given as __________.

A. r sin θ cos φ

B. r sin θ sin φ

C. r cos θ sin φ

D. r cos θ cos φ

Answer: **Option B**

Solution:

30. In the Cylindrical coordinate system, z ranges between____________.

A. 0 and 1

B. −∞ and 0

C. 0 and −∞

D. −∞ and ∞

Answer: **Option D**

Solution:

31. In the Cylindrical coordinate system, φ ranges from _____________.

A. 0 to less than π

B. 0 to less than 2π

C. 0 to less than 3π

D. 0 to less than 4π

Answer: **Option B**

Solution:

32. Line integral involves _________ product.

A. scalar

B. vector

C. both (a) an (b)

D. none of these

Answer: **Option A**

Solution:

33. Del operator is ______________.

A. same as the gradient operator

B. vector differential operator

C. both (a) an (b)

D. none of these

Answer: **Option C**

Solution:

34. Gradient represents the __________ of maximum space rate of increase of a scalar field.

A. magnitude

B. direction

C. both (a) an (b)

D. none of these

Answer: **Option C**

Solution:

35. (AB) is equal to ___________.

A. A. B

B. A + B

C. 2AB

D. B A + A B

Answer: **Option D**

Solution:

36. An is equal to _____________.

A. n A

B. nAn−1 A

C. nAn A

D. nA

Answer: **Option B**

Solution:

37. Divergence of a vector at a point in a vector field is __________quantity.

A. vector

B. scalar

C. both (a) an (b)

D. none of these

Answer: **Option B**

Solution:

38. Divergence of vector field is net outward flux of a vector per unit ______.

A. surface area

B. volume

C. length

D. none of these

Answer: **Option B**

Solution:

39. Divergence at a point is positive if field lines are _________

A. diverging

B. converging

C. both (a) an (b)

D. none of these

Answer: **Option A**

Solution:

40. If the rate at which field lines enter into a small volume and also leave, then divergence is ________.

A. ∞

B. 1

C. 0

D. −1

Answer: **Option C**

Solution:

41. Divergence Theorem is applicable for a ________ that is bounded by a _________.

A. volume, surface

B. surface, volume

C. surface, line

D. line, surface

Answer: **Option A**

Solution:

42. Divergence Theorem relates ________ integral to __________ integral.

A. surface, volume

B. line, surface

C. volume, line

D. all of these

Answer: **Option A**

Solution:

43. Curl measures _________.

A. rate of change of vector

B. circular rotation

C. both (a) and (b)

D. none of these

Answer: **Option C**

Solution:

44. Stoke’s Theorem relates, ______ integral to a _______ integral.

A. volume, surface

B. volume, line

C. line, surface

D. all of these

Answer: **Option C**

Solution:

45. Laplacian operator ________.

A. is a scalar function

B. is a vector function

C. can be a scalar or vector function

D. none of these

Answer: **Option C**

Solution:

46. Laplacian of a scalar is __________.

A. scalar

B. vector

C. both (a) and (b)

D. none of these

Answer: **Option A**

Solution:

47. Laplacian of a vector is ___________ of gradient of its divergence and its curl of curl.

A. addition

B. difference

C. multiplication

D. division

Answer: **Option B**

Solution:

48. A scalar field is harmonic in a given region, if its Laplacian is__________.

A. ∞

B. −1

C. 1

D.0

Answer: **Option D**

Solution:

49. Metals have their conductivity “σ” _________.

A. >>1

B. <<1

D. none of these

Answer: **Option A**

Solution:

50. Insulators have their conductivity “σ” _________.

A. >>1

B. <<1

C. =1

D. none of these

Answer: **Option B**

Solution:

### Complete List of MCQs in General Engineering and Applied Science per topic

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