Spherical Coordinate System | Santa Fe College - Edubirdie

University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

440

Pages:

1
Author:

Jabin F.

The equations on the right side represent cross products of unit vectors, resulting in the third unit vector. Below these equations, the unit vectors are labeled as radial, polar, and azimuthal, respectively. The final part of the image provides equations for Cartesian coordinates (x, y, z) in terms of spherical coordinates (r, θ, φ). The handwriting is clear and organized, with a vertical line separating the dot and cross product equations. 0≤θ≤π 0≤φ≤2π for point-C âr=+ŷ âφ=−x̂ θ=−ẑ for point D. âr=−ŷ âθ=−ẑ âφ=+x̂ for entire equitorial plane− θ=90°, φ=0=−ẑ ẑ⋅âr=cosθẑ or ẑ×âr=sinφφ̂

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