Q5. a) Find the gradient of the scalar field W = 10rsin²0cosØ . Explain the physical manner of the gradient of a scalar field with an example. b) Determine the divergence of vector Q = rsinØa, + r²zag + zcosØa, Explain the physical manner of the divergence of a vector field with an example. c) Two uniform vector fields are given by E = -5a, + 10ag + 3a, and F = a, + 2ag – 6a, .Calculate|E x F|? Explain the physical manner of the curl of a vector field with an example.

Q5. a) Find the gradient of the scalar field W = 10rsin²0cosØ . Explain the physical manner of the gradient of a scalar field with an example. b) Determine the divergence of vector Q = rsinØa, + r²zag + zcosØa, Explain the physical manner of the divergence of a vector field with an example. c) Two uniform vector fields are given by E = -5a, + 10ag + 3a, and F = a, + 2ag – 6a, .Calculate|E x F|? Explain the physical manner of the curl of a vector field with an example.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 54P: Charge is distributed throughout a very long cylindrical volume of radius R such that the charge...

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