McqMate
These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Electrical Engineering .
| 1. |
Gradient of a function is a constant. State True/False. |
| A. | true |
| B. | false |
| Answer» B. false | |
| 2. |
The mathematical perception of the gradient is said to be |
| A. | tangent |
| B. | chord |
| C. | slope |
| D. | arc |
| Answer» C. slope | |
| 3. |
Divergence of gradient of a vector function is equivalent to |
| A. | laplacian operation |
| B. | curl operation |
| C. | double gradient operation |
| D. | null vector |
| Answer» A. laplacian operation | |
| 4. |
Curl of gradient of a vector is |
| A. | unity |
| B. | zero |
| C. | null vector |
| D. | depends on the constants of the vector |
| Answer» C. null vector | |
| 5. |
Find the gradient of the function given by, x2 + y2 + z2 at (1,1,1) |
| A. | i + j + k |
| B. | 2i + 2j + 2k |
| C. | 2xi + 2yj + 2zk |
| D. | 4xi + 2yj + 4zk |
| Answer» B. 2i + 2j + 2k | |
| 6. |
The gradient can be replaced by which of the following? |
| A. | maxwell equation |
| B. | volume integral |
| C. | differential equation |
| D. | surface integral |
| Answer» C. differential equation | |
| 7. |
. Find the gradient of the function sin x + cos y. |
| A. | cos x i – sin y j |
| B. | cos x i + sin y j |
| C. | sin x i – cos y j |
| D. | sin x i + cos y j |
| Answer» A. cos x i – sin y j | |
| 8. |
The divergence of a vector is a scalar. State True/False. |
| A. | true |
| B. | false |
| Answer» A. true | |
| 9. |
The divergence concept can be illustrated using Pascal’s law. State True/False. |
| A. | true |
| B. | false |
| Answer» A. true | |
| 10. |
Compute the divergence of the vector xi + yj + zk. |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 11. |
Find the divergence of the vector yi + zj + xk. |
| A. | -1 |
| B. | 0 |
| C. | 1 |
| D. | 3 |
| Answer» B. 0 | |
| 12. |
Find the divergence of the vector F= xe-x i + y j – xz k |
| A. | (1 – x)(1 + e-x) |
| B. | (x – 1)(1 + e-x) |
| C. | (1 – x)(1 – e) |
| D. | (x – 1)(1 – e) |
| Answer» A. (1 – x)(1 + e-x) | |
| 13. |
Find whether the vector is solenoidal, E = yz i + xz j + xy k |
| A. | yes, solenoidal |
| B. | no, non-solenoidal |
| C. | solenoidal with negative divergence |
| D. | variable divergence |
| Answer» A. yes, solenoidal | |
| 14. |
Find the divergence of the field, P = x2yz i + xz k |
| A. | xyz + 2x |
| B. | 2xyz + x |
| C. | xyz + 2z |
| D. | 2xyz + z |
| Answer» B. 2xyz + x | |
| 15. |
Identify the nature of the field, if the divergence is zero and curl is also zero. |
| A. | solenoidal, irrotational |
| B. | divergent, rotational |
| C. | solenoidal, irrotational |
| D. | divergent, rotational |
| Answer» C. solenoidal, irrotational | |
| 16. |
Curl is defined as the angular velocity at every point of the vector field. State True/False. |
| A. | true |
| B. | false |
| Answer» A. true | |
| 17. |
The curl of curl of a vector is given by, |
| A. | div(grad v) – (del)2v |
| B. | grad(div v) – (del)2v |
| C. | (del)2v – div(grad v) |
| D. | (del)2v – grad(div v) |
| Answer» B. grad(div v) – (del)2v | |
| 18. |
Which of the following theorem use the curl operation? |
| A. | green’s theorem |
| B. | gauss divergence theorem |
| C. | stoke’s theorem |
| D. | maxwell equation |
| Answer» C. stoke’s theorem | |
| 19. |
The curl of a curl of a vector gives a |
| A. | scalar |
| B. | vector |
| C. | zero value |
| D. | non zero value |
| Answer» B. vector | |
| 20. |
Is the vector is irrotational. E = yz i + xz j + xy k |
| A. | yes |
| B. | no |
| Answer» A. yes | |
| 21. |
Find the curl of A = (y cos ax)i + (y + ex)k |
| A. | 2i – ex j – cos ax k |
| B. | i – ex j – cos ax k |
| C. | 2i – ex j + cos ax k |
| D. | i – ex j + cos ax k |
| Answer» B. i – ex j – cos ax k | |
| 22. |
Find the curl of the vector A = yz i + 4xy j + y k |
| A. | xi + j + (4y – z)k |
| B. | xi + yj + (z – 4y)k |
| C. | i + j + (4y – z)k |
| D. | i + yj + (4y – z)k |
| Answer» D. i + yj + (4y – z)k | |
| 23. |
Curl cannot be employed in which one of the following? |
| A. | directional coupler |
| B. | magic tee |
| C. | isolator and terminator |
| D. | waveguides |
| Answer» D. waveguides | |
| 24. |
Which of the following Maxwell equations use curl operation? |
| A. | maxwell 1st and 2nd equation |
| B. | maxwell 3rd and 4th equation |
| C. | all the four equations |
| D. | none of the equations |
| Answer» A. maxwell 1st and 2nd equation | |
| 25. |
The integral form of potential and field relation is given by line integral. State True/False |
| A. | true |
| B. | false |
| Answer» A. true | |
| 26. |
If V = 2x2y – 5z, find its electric field at point (-4,3,6) |
| A. | 47.905 |
| B. | 57.905 |
| C. | 67.905 |
| D. | 77.905 |
| Answer» B. 57.905 | |
| 27. |
Find the potential between a(-7,2,1) and b(4,1,2). Given E = (-6y/x2 )i + ( 6/x) j + 5 k. |
| A. | -8.014 |
| B. | -8.114 |
| C. | -8.214 |
| D. | -8.314 |
| Answer» C. -8.214 | |
| 28. |
A field in which a test charge around any closed surface in static path is zero is called |
| A. | solenoidal |
| B. | rotational |
| C. | irrotational |
| D. | conservative |
| Answer» D. conservative | |
| 29. |
The potential in a lamellar field is |
| A. | 1 |
| B. | 0 |
| C. | -1 |
| D. | ∞ |
| Answer» B. 0 | |
| 30. |
Line integral is used to calculate |
| A. | force |
| B. | area |
| C. | volume |
| D. | length |
| Answer» D. length | |
| 31. |
The energy stored in the inductor 100mH with a current of 2A is |
| A. | 0.2 |
| B. | 0.4 |
| C. | 0.6 |
| D. | 0.8 |
| Answer» A. 0.2 | |
| 32. |
Gauss law for electric field uses surface integral. State True/False |
| A. | true |
| B. | false |
| Answer» A. true | |
| 33. |
Surface integral is used to compute |
| A. | surface |
| B. | area |
| C. | volume |
| D. | density |
| Answer» B. area | |
| 34. |
Coulomb’s law can be derived from Gauss law. State True/ False |
| A. | true |
| B. | false |
| Answer» A. true | |
| 35. |
Evaluate Gauss law for D = 5r2/4 i in spherical coordinates with r = 4m and θ = π/2. |
| A. | 600 |
| B. | 599.8 |
| C. | 588.9 |
| D. | 577.8 |
| Answer» C. 588.9 | |
| 36. |
The ultimate result of the divergence theorem evaluates which one of the following? |
| A. | field intensity |
| B. | field density |
| C. | potential |
| D. | charge and flux |
| Answer» D. charge and flux | |
| 37. |
The divergence theorem converts |
| A. | line to surface integral |
| B. | surface to volume integral |
| C. | volume to line integral |
| D. | surface to line integral |
| Answer» B. surface to volume integral | |
| 38. |
The triple integral is used to compute volume. State True/False |
| A. | true |
| B. | false |
| Answer» A. true | |
| 39. |
The volume integral is three dimensional. State True/False |
| A. | true |
| B. | false |
| Answer» A. true | |
| 40. |
Using volume integral, which quantity can be calculated? |
| A. | area of cube |
| B. | area of cuboid |
| C. | volume of cube |
| D. | distance of vector |
| Answer» C. volume of cube | |
| 41. |
Gauss theorem uses which of the following operations? |
| A. | gradient |
| B. | curl |
| C. | divergence |
| D. | laplacian |
| Answer» C. divergence | |
| 42. |
The Gauss divergence theorem converts |
| A. | line to surface integral |
| B. | line to volume integral |
| C. | surface to line integral |
| D. | surface to volume integral |
| Answer» D. surface to volume integral | |
| 43. |
Find the divergence theorem value for the function given by (ez, sin x, y2) |
| A. | 1 |
| B. | 0 |
| C. | -1 |
| D. | 2 |
| Answer» B. 0 | |
| 44. |
Divergence theorem computes to zero for a solenoidal function. State True/False. |
| A. | true |
| B. | false |
| Answer» A. true | |
| 45. |
Coulomb is the unit of which quantity? |
| A. | field strength |
| B. | charge |
| C. | permittivity |
| D. | force |
| Answer» B. charge | |
| 46. |
Coulomb law is employed in |
| A. | electrostatics |
| B. | magnetostatics |
| C. | electromagnetics |
| D. | maxwell theory |
| Answer» A. electrostatics | |
| 47. |
Find the force between 2C and -1C separated by a distance 1m in air(in newton). |
| A. | 18 x 106 |
| B. | -18 x 106 |
| C. | 18 x 10-6 |
| D. | -18 x 10-6 |
| Answer» B. -18 x 106 | |
| 48. |
Two charges 1C and -4C exists in air. What is the direction of force? |
| A. | away from 1c |
| B. | away from -4c |
| C. | from 1c to -4c |
| D. | from -4c to 1c |
| Answer» C. from 1c to -4c | |
| 49. |
The Coulomb law is an implication of which law? |
| A. | ampere law |
| B. | gauss law |
| C. | biot savart law |
| D. | lenz law |
| Answer» B. gauss law | |
| 50. |
For a charge Q1, the effect of charge Q2 on Q1 will be, |
| A. | f1 = f2 |
| B. | f1 = -f2 |
| C. | f1 = f2 = 0 |
| D. | f1 and f2 are not equal |
| Answer» B. f1 = -f2 | |
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