Question

Transform the vector B=yi+(x+z)j located at point (-2,6,3) into cylindrical coordinates.

(a) (6.325,-71.57,3)

(b) (6.325,71.57,3)

(c) (6.325,73.57,3)

(d) (6.325,-73.57,3)

This question was posed to me in an interview.

The query is from Cylindrical Coordinate System topic in section Coordinate Systems and Transforms of Electromagnetic Theory

Answer 1

Right option is (a) (6.325,-71.57,3)

To elaborate: ρ = √(x^2+y^2) = √40 = 6.325

 Φ = tan^-1(y/x) = tan^-1(-6/2) = -71.57

z = 3.