Question

Convert the point (3,4,5) from Cartesian to spherical coordinates (a) (7.07,45⁰,53⁰) (b) (0.707,45⁰,53⁰) (c) (7.07,54⁰,63⁰) (d) (0.707,54⁰,63⁰) The question was posed to me during an online interview. The question is from Spherical Coordinate System in chapter Coordinate Systems and Transforms of Electromagnetic Theory Select the correct answer from above options Electromagnetic Theory questions and answers, Electromagnetic Theory questions pdf, Electromagnetic Theory question bank, Electromagnetic Theory questions and answers pdf, mcq on Electromagnetic Theory pdf,electromagnetic theory book pdf,electromagnetic theory pdf notes,electromagnetic theory lecture notes,electromagnetic theory of light,maxwell electromagnetic theory,electromagnetic theory proposed by,electromagnetic theory engineering physics,electromagnetic theory nptel

Answer 1

Right option is (a) (7.07,45⁰,53⁰) Best explanation: r = √(x^2+y^2+z^2) = √50 = 7.07 Θ = cos^-1(z/r) = cos^-1(5/5√2) = 45⁰ Φ = tan^-1(y/x) = tan^-1(4/3) = 53⁰.