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Solved Problems-5

Express the field Description: 82757.png, in cylindrical coordinates, and calculate Description: 82750.pngat the point P (r = 2, φ = 60°z = 3).
In the cylindrical system,
Description: 82743.png
Description: 82735.png
But, Description: 82728.png
Substituting these values,
Description: 82721.png
Hence, the vector in Cartesian coordinates is written as,
Description: 82709.png
At P (r = 2, φ = 60°z = 3), the vector is given as,
Description: 82705.png
Hence, at PDescription: 82685.png
∴ Description: 82676.png

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