Cylindrical Coordinates and Vectors Quiz

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Questions and Answers

Which coordinate system is also referred to as the cylindrical coordinate system?

Circular system (correct)
Space system
Spherical system
Cartesian system

What are the cylindrical coordinates of the vector B=yi+(x+z)j located at point (-2,6,3)?

(6.325,-71.57,3) (correct)
(6.325,73.57,3)
(6.325,-73.57,3)
(6.325,71.57,3)

What scalar values do cylindrical systems have?

1, 1, 1
1, ρ, 1 (correct)
1, 0, 0
0, 1, 0

In which coordinate system is a charge located at point p (5,30⁰,2)?

<p>Cylindrical system (A)</p> Signup and view all the answers

Is it true or false that the cylindrical system is employed in waveguides?

<p>True (A)</p> Signup and view all the answers

Study Notes

The cylindrical coordinate system, also known as the circular system, is a coordinate system used for systems with circular dimensions.
To transform the vector B into cylindrical coordinates, find the values of ρ, φ, and z: ρ = √(x² + y²), Φ = tan⁻¹(y/x), z = z. For vector B = yi+(x+z)j at point (-2,6,3): ρ = √(40) = 6.325, Φ = tan⁻¹(-6/2) = -71.57°, z = 3, resulting in (6.325, -71.57, 3).
In a cylindrical system, the scalar values are 1, ρ , and 1, representing the range of radius (one to unity), plane angle (one to 360 degrees), and z-plane (one to infinity).
A charge located at point p (5, 30°, 2) is in the cylindrical coordinate system because it is given in the form of (ρ, φ, z).
Cylindrical systems are used in waveguides, specifically circular waveguides.

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Description

Test your knowledge of cylindrical coordinates and vectors with this quiz. Questions cover identifying coordinate systems and transforming vectors into cylindrical coordinates.