1.

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

Answer» 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.


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