3. A particular scalar field a is given by a. a=20 ex sin(πy/3) in Cartesian b. a=10psin() in cylindrical c. a=30cos(e)/r² in spherical find its Laplacian at P(-2,4,-6) for Cartesian, P(√2,π/2,7) for cylindrical and P(5, 30°, 60°) for spherical coordinate systems.

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter9: Atomic Structure
Section: Chapter Questions
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3. A particular scalar field a is given by
a. a=20 ex sin(πy/3) in Cartesian
b. a=10psin() in cylindrical
c. a=30cos(e)/r² in spherical
find its Laplacian at P(-2,4,-6) for Cartesian, P(√2,π/2,7) for cylindrical and P(5, 30°, 60°)
for spherical coordinate systems.
Transcribed Image Text:3. A particular scalar field a is given by a. a=20 ex sin(πy/3) in Cartesian b. a=10psin() in cylindrical c. a=30cos(e)/r² in spherical find its Laplacian at P(-2,4,-6) for Cartesian, P(√2,π/2,7) for cylindrical and P(5, 30°, 60°) for spherical coordinate systems.
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