Question

Find the spherical coordinates of A(2,3,-1) (a) (3.74, 105.5⁰, 56.13⁰) (b) (3.74, 105.5⁰, 56.31⁰) (c) (3.74, 106.5⁰, 56.13⁰) (d) (3.74, 106.5⁰, 56.31⁰) This question was addressed to me in an online quiz. My question comes from Spherical Coordinate System in division 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 choice is (b) (3.74, 105.5⁰, 56.31⁰) Explanation: r = √(x^2+y^2+z^2) = √14 = 3.74 Θ = cos^-1(z/r) = cos^-1(-1/3.74) = 105.5⁰ Φ = tan^-1(y/x) = tan^-1(3/2) = 56.31⁰.