Questions and Answers
Which coordinate system is also referred to as the cylindrical coordinate system?
Circular 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)
What scalar values do cylindrical systems have?
1, ρ, 1
In which coordinate system is a charge located at point p (5,30⁰,2)?
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Is it true or false that the cylindrical system is employed in waveguides?
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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.
