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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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