Express the vector field D = (x² + y²)−¹(xɑx + yay) in cylindrical components and cylindrical variables. (b) Evaluate D at the point where p = 2, p = 0.2, and z=5, expressing the result in cylindrical and rectangular components.
Express the vector field D = (x² + y²)−¹(xɑx + yay) in cylindrical components and cylindrical variables. (b) Evaluate D at the point where p = 2, p = 0.2, and z=5, expressing the result in cylindrical and rectangular components.
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![Express the vector field D = (x² + y²)-¹(xax +ya,) in cylindrical components and
cylindrical variables. (b) Evaluate D at the point where p = 2,4 = 0.2π, and z=5,
expressing the result in cylindrical and rectangular components.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a204987-41c1-4ca4-a7f0-270fd6cfa0af%2F9fe21b76-e2c3-4563-a5bd-e0cd42a545c5%2F9knpujo_processed.png&w=3840&q=75)
Transcribed Image Text:Express the vector field D = (x² + y²)-¹(xax +ya,) in cylindrical components and
cylindrical variables. (b) Evaluate D at the point where p = 2,4 = 0.2π, and z=5,
expressing the result in cylindrical and rectangular components.
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Step 1: Know the relation between the cartesian and cylindrical components of a vector:
VIEWStep 2: (a) Express the given vector field in cylindrical coordinate system:
VIEWStep 3: (b) Calculate the vector field at the given point in cylindrical coordinate system:
VIEWStep 4: (b) Calculate the vector field at the given point in cartesian coordinate system:
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