Purchase Solution

Vector integral - stokes therom

Not what you're looking for?

Ask Custom Question

Evaluate the line integral by stokes theorem (clock wise as seen by a person standing at the origin). Calculate this integral by stoke's theorem for the following C and F (referred to right-handed cartesian coordinates).

F=[y, 1/2 z, 3/2 y]

C the circle x^2 + y^2 +z^2 = 6z, z=x+3

Purchase this Solution
Solution Summary

A solution solving for a vertical intergral using Stoke's theorem.

Solution Preview

Please see the attached file.

Problem:

Evaluate the line integral by Stokes theorem (clock wise as seen by a person standing at the origin). Calculate this integral by Stoke's theorem for the following C adn F (referred to right-handed cartesian coordinates).

F=[y, 1/2 z, 3/2 y]

C the circle x^2 + y^2 +z^2 = 6z, z=x+3

Solution:

We have to compute the integral
...

Purchase this Solution
Free BrainMass Quizzes
Air Pollution Control - Environmental Science

Working principle of ESP

Architectural History

This quiz is intended to test the basics of History of Architecture- foundation for all architectural courses.

View More Free Quizzes
Related BrainMass Solutions

  • Stokes and Gauss' Theorem

    (Hint: Use Stokes' theorem to write the integral in terms of the curl of the vector. What does the integral now represent?) 3. Show that (see attachment for formula) where V is the volume enclosed by the surface S, and r = xˆx + yˆy + zˆz.

  • Stokes theorem to calculate the surface integral of the curl

    Use Stokes' theorem to evaluate the surface integral of the curl: where the vector field F(x,y,z) = -12yzi + 12xzj + 18(x^2+y^2)zk and S is the part of the paraboloid z = x^2 + y^2 that lies inside the cylinder x^2 + y^2 =1, oriented upward.

  • 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.

  • Plane Triangular Surface and Stokes' Theorem

    Verify Stokes' Theorem for the vector field F = (x + y) + (2x − z) + (y + z) by performing the surface integral and line integral separately. Clearly show the surface and the positive direction of the line integral on a sketch.

  • Stokes theorem

    363291 Stokes Theorem: Example Problem Given the vector field F=3yi + (5-2x)j + ((z^2)-2)k find a) Div F b) Curl F c) The surface integral of the normal component of curl F over the open hemispherical surface (x^2)+(y^2)+(z^2)=4 above the xy plane

  • Vector Integrals : Stokes' Theorem and Line Integral of a Vector Field

    46676 Vector Integrals : Stokes' Theorem and Vector Fields 7.. Given the vector field F(x,y,z) = xi + (x+2y+3z) j + z2 k Let C he the circle on the xy-plane, centered at the origin (0,0) and having as radius r=5.

  • Vector Fields, Fundamental Theorem of Line Integrals

    line integral: Let's first get the vector field evaluated on the curve Next, we need the derivative of the parameterization and the dot product of this and the vector field, So the dot product is We can now do the integral: Vector Fields

  • Physics: Path Integrals, Navier Stokes, Cartesian Coordinates, Conservation Laws

    Check out: http://mathworld.wolfram.com/LineIntegral.html http://mathworld.wolfram.com/ConservativeField.html http://mathworld.wolfram.com/GradientTheorem.html A path integral of a vector function in Cartesian coordinates is given by: In

  • 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.

View More Related Solutions