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Transform the cylindrical coordinates (3, $\pi$/3.-4) to Cartesian coordinate system.

Subject: Applied Physics 2

Topic: Electrodynamics

Difficulty: Medium

1 Answer
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$$ Formula: x = r cosφ \ $$ $$ y = r sinφ \ $$ $$ z = z \ $$

$ Solution : r = 3 φ = π/3 , z = -4 \\ x = r cosφ = 3 cosπ/3 = 3* 1/3 \\ y = r sinφ = 3 sinπ/3 = 3 * √3/2 = (3√3)/2 \\ z = -4 \\ \text {Cartesian coordinate = ( 3/2, (3√3)/2, -4) }$

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