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Given B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (-3,4,0)(a) -2i + j(b) 2i + k(c) i + 2j(d) –i – 2kThe question was posed to me during an online exam.The query is from Spherical Coordinate System topic in section Coordinate Systems and Transforms of Electromagnetic Theory

Answer» CORRECT option is (a) -2I + j

Explanation: R = √(x^2+y^2+z^2) = √25 = 5

Θ = cos^-1(z/r) = 1

Φ = tan^-1(y/x) = tan^-1(-4/3)

Thus, B = -2i + j.


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