AMFT AL & SL ICT Electromagnetics Quiz

Which of the following is a common type of coordinate system used in electromagnetics?

• Cartesian

• Polar

• Cylindrical

• All of the above

In the Cartesian coordinate system, the coordinates are represented as:

• (r, θ)

• (x, y, z)

• (r, θ, z)

• (r, φ, z)

Which of the following transformations converts Cartesian coordinates to cylindrical coordinates?

• x = r cosθ, y = r sinθ, z = z

• r = √(x² + y²), θ = tan⁻¹(y/x), z = z

• r = √(x² + y² + z²), θ = cos⁻¹(z/r), φ = tan⁻¹(y/x)

• x = r sinθ, y = r cosθ, z = z

What is the relationship between Cartesian coordinates and spherical coordinates?

• x = r cosθ sinφ, y = r sinθ sinφ, z = r cosφ

• r = x cosθ, θ = tan⁻¹(y/x), φ = sin⁻¹(z/r)

• r = √(x² + y² + z²), θ = tan⁻¹(y/x), φ = cos⁻¹(z/r)

• r = √(x² + y²), θ = tan⁻¹(y/x), z = z

When converting from cylindrical to Cartesian coordinates, which of the following equations is used for the y-coordinate?

• y = r cosθ

• y = r sinθ

• y = r z sinθ

• y = r/sinθ

Coulomb's law states that the force between two point charges is:

• Directly proportional to the product of the charges and inversely proportional to the square of the distance between them

• Directly proportional to the square of the charges

• Inversely proportional to the product of the charges and directly proportional to the distance between them

• Directly proportional to the distance between them

What is the unit of the constant k in Coulomb's law in the SI system?

• N · m²

• N · m² · C⁻¹

• N · m² · C⁻²

• N · C⁻²

Which of the following is the value of the Coulomb constant k in a vacuum?

• 9 × 10⁹ N · m²/C²

• 8.85 × 10⁻¹² N · m²/C²

• 1.6 × 10⁻¹⁹ C

• 9.81 m/s²

If two charges are of opposite signs, the force between them is:

• Attractive

• Repulsive

• Zero

• Infinite

What happens to the force between two charges if the distance between them is doubled?

• The force is doubled

• The force is halved

• The force is reduced to one-fourth

• The force remains the same