MCQOPTIONS
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MCQOPTIONS
This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Electromagnetic Theory knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the value of divergence theorem for the field D = 2xy i + x2 j for the rectangular parallelepiped given by x = 0 and 1, y = 0 and 2, z = 0 and 3. |
| A. | 10 |
| B. | 12 |
| C. | 14 |
| D. | 16 |
| Answer» C. 14 | |
| 2. |
Compute the charge enclosed by a cube of 2m each edge centered at the origin and with the edges parallel to the axes. Given D = 10y3/3 j. |
| A. | 20 |
| B. | 70/3 |
| C. | 80/3 |
| D. | 30 |
| Answer» D. 30 | |
| 3. |
Compute the Gauss law for D = 10ρ3/4 i, in cylindrical coordinates with ρ = 4m, z = 0 and z = 5, hence find charge using volume integral. |
| A. | 6100 π |
| B. | 6200 π |
| C. | 6300 π |
| D. | 6400 π |
| Answer» E. | |
| 4. |
Compute divergence theorem for D = 5r2/4 i in spherical coordinates between r = 1 and r = 2 in volume integral. |
| A. | 80 π |
| B. | 5 π |
| C. | 75 π |
| D. | 85 π |
| Answer» D. 85 π | |
| 5. |
Evaluate Gauss law for D = 5r2/4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. |
| A. | 600 |
| B. | 588.9 |
| C. | 577.8 |
| D. | 599.7 |
| Answer» C. 577.8 | |
| 6. |
Find the charged enclosed by a sphere of charge density ρ and radius a. |
| A. | ρ (4πa2) |
| B. | ρ(4πa3/3) |
| C. | ρ(2πa2) |
| D. | ρ(2πa3/3) |
| Answer» C. ρ(2πa2) | |
| 7. |
Compute the charge enclosed by a cube of 2m each edge centered at the origin and with the edges parallel to the axes. Given D = 10y3/3 j? |
| A. | 20 |
| B. | 70/3 |
| C. | 80/3 |
| D. | 30 |
| Answer» D. 30 | |
| 8. |
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» D. distance of vector | |
| 9. |
Compute the Gauss law for D = 10ρ3/4 i, in cylindrical coordinates with ρ = 4m, z = 0 and z = 5, hence find charge using volume integral.$ |
| A. | 6100 π |
| B. | 6200 π |
| C. | 6300 π |
| D. | 6400 π |
| Answer» E. | |
| 10. |
Compute divergence theorem for D = 5r2/4 i in spherical coordinates between r = 1 and r = 2 in volume integral. |
| A. | 80 π |
| B. | 5 π |
| C. | 75 π |
| D. | 85 π |
| Answer» D. 85 ‚âà√¨‚àö√ë | |
| 11. |
Evaluate Gauss law for D = 5r2/4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral.$ |
| A. | 600 |
| B. | 588.9 |
| C. | 577.8 |
| D. | 599.7 |
| Answer» C. 577.8 | |
| 12. |
Find the charged enclosed by a sphere of charge density ρ and radius a.$ |
| A. | ρ (4πa<sup>2</sup>) |
| B. | ρ(4πa<sup>3</sup>/3) |
| C. | ρ(2πa<sup>2</sup>) |
| D. | ρ(2πa<sup>3</sup>/3) |
| Answer» C. ‚âà√¨‚àö√ñ(2‚âà√¨‚àö√ëa<sup>2</sup>) | |
| 13. |
The volume integral is three dimensional. State True/False |
| A. | True |
| B. | False |
| Answer» B. False | |
| 14. |
The triple integral is used to compute volume. State True/False |
| A. | True |
| B. | False |
| Answer» B. False | |
| 15. |
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» C. Volume to line integral | |