Purchase Solution

application of Stokes Theorem

Not what you're looking for?

Ask Custom Question

Stokes Theorem. See attached file for full problem description.

1. compute the line integral where F = (yz^2 - y)i + (xz^2 + x)j + 2xyzk where C is the circle of radius 3 in the xy-plane, centered at the origin, oriented counterclockwise as viewed from the positive z -axis.

2. Given F =yi - xj + yzk and the region S determined by z = x2+ y^2 and z = 1. Find

3. Use the same function as in problem 3 and let S be the part of the spherical surface x^2 + y^2 + (z - 4)^2 = 10 below the plane z = 1.

4. Uses Stokes' Theroem to evaluate the line integral

Attachments
Purchase this Solution
Solution Summary

It provides several examples of applications of the Stokes Theorem. The solution is detailed and well organized.

Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Basic Physics

This quiz will test your knowledge about basic Physics.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

The Moon

Test your knowledge of moon phases and movement.

View More Free Quizzes
Related BrainMass Solutions

  • A closed but not exact differential form

    The application of Stokes' theorem for the differential forms versions are provided.

  • Stokes theorem

    * Hint: by a double application of Stokes theorem, part c can be reduced to a triviality Hello and thank you for posting your question to Brainmass!

  • application of Stokes' theorem

    In particular, compute the unit normal vector and the curl of F as well as the value of the integral: Please see the attached file for detailed solution. The solution is an application of Stokes' theorem.

  • Application of Stokes Theorem

    19201 Application of Stokes Theorem Use Stokes' Theorem to evaluate int (F.dr) over C where F = x^2*y i +x/3 j +xy k and C is the curve of intersection of hyperbolic paraboloid z= y^2-x^2 and teh cylinder x^2+y^2=1 oriented counterclockwise.

  • Connections among Green's, Stokes' and Divergence theorems

    This solution is comprised of a detailed explanation of the links and connections among Green's theorem in all forms, Stokes' theorem and the Divergence theorem.

  • Stokes Theorem

    137292 Stokes Theorem Stokes Theorem. See attached file for full problem description. Use Stokes Theorem to evaluate.... Please see the attached file. This provides an example of using Stokes Theorem.

  • Green's Theorem and Stokes' Theorem

    35016 Green's Theorem and Stokes' Theorem Using Green's Theorem and Stokes' Theorem respectively, calculate the given line integrals.

  • Stokes and Gauss' Theorem

    Calculate the path integral of v, i.e. v · dr, and calculate the area integral of the divergence, R ∇ × v · da, and verify that Stokes' theorem holds. (Note: For the first leg of the path, dr = ˆxdx, and for the second leg of the path, dr = ˆydy.

  • Stokes Theorem, Curl and Positively Oriented Hemisphere

    42947 Stokes Theorem, Curl and Positively Oriented Hemisphere 7) Use Stoke's Theorem to evaluate curl F*dS S is the hemisphere oriented in the direction of the positive x-axis. 8) Use Stokes Theorem to evaluate C is the boundary of the part

View More Related Solutions