Electromagnetic Theory (v2) #25 | Problem Solving #02: Vector Field Transformation

Instructor: Dr. Süleyman Burak ÇELİK

Second problem-solving episode of the EMT (v2) series. Two worked examples teach vector field transformation from Cartesian into cylindrical and spherical coordinates: an easy Q(0,3,0) example to show the rotation geometrically, and a Sadiku 2.2 style problem at P(-2, 6, 3). Key result: the magnitude |A|² = 37 is invariant across all three coordinate systems. Answer (Ex 1): A = 4 â_ρ - 3 â_φ, |A| = 5. Answer (Ex 2): A_ρ = -3/√10, A_φ = -19/√10 (cyl); A_r = -6/7, A_θ = -9/(7√10), A_φ = -19/√10 (sph). Reference: Sadiku, Ch.2, Example 2.2.