Problem 4 If F 4yz 5xy+ 22, calculate the circulation of this field about a square...

Question

Question

Problem 4 If F 4yz 5xy+ 22, calculate the circulation of this field about a square parallel to the x-y plane of side length 4

engineering Electrical-Engineering

Answer 1

Answer #1

4yz d da to, dyzdz20, 4=o,2-0 . oryj Vying hanca xpoxOxY onyVe hanu dy o, z-4-) dx-de= £=o. 5xdy -20 x fone Segmant Saxuxo dz

VAF 4T5-43 SS-s dndy -5XAX4- S0v

Answer 2

Similar Homework Help Questions

4. (18 points) Verify Stokes' Theorem in finding the counterclockwise circulation of the vector f...

4. (18 points) Verify Stokes' Theorem in finding the counterclockwise circulation of the vector field, F - (r-i + (42)j + (r) k around the curve, C, where C is the triangular path determined by the points (6,0,0),(0,-4,0),and (0,0,10) . (i.e. calculate the circulation % F.iF directly, and then by using Stokes' Theorem and doing a surface integral.) Which way was easier? (Hint: You will need to find the equation of the plane that goes through these three points.) 4....
Use the surface integral in Stokes' Theorem to calculate the circulation of the field F=x^2i+5xj+z^2k around...

Use the surface integral in Stokes' Theorem to calculate the circulation of the field F=x^2i+5xj+z^2k around the curve C: the ellipse 16x^2 + y^2 = 1 in the xy-plane, counterclockwise when viewed from above.
12) Use Stokes' Theorem to calculate the circulation of the field } = x?i – xyj...

12) Use Stokes' Theorem to calculate the circulation of the field } = x?i – xyj + yk around the curve C in the indicated direction. C is the counterclockwise path around the perimeter of the rectangle in the x-y plane formed from the x-axis, y-axis , x = 2 and y = 3.

Use Stokes' Theorem to calculate the circulation of the field F around the curve C in...

Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction 27) F 3xi2xj + 7zk; C: the cap cut from the upper hemisphere x2 + y2 + z2 = 16 (z z 0) by the cylinder x2+ y2 =4 27) Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction 27) F 3xi2xj + 7zk; C: the cap cut from the upper...
12) Use Stokes' Theorem to calculate the circulation of the field Ể = x?i – xyj...

12) Use Stokes' Theorem to calculate the circulation of the field Ể = x?i – xyj + yk around the curve C in the indicated direction. C is the counterclockwise path around the perimeter of the rectangle in the x-y plane formed from the x-axis, y-axis , x = 2 and y = 3.
Use Stokes' Theorem to make the following circulation calculations.

Suppose \(\vec{F}=(5 x-3 y) \vec{i}+(x+4 y) \vec{j}\). Use Stokes' Theorem to make the following circulation calculations.(a) Find the circulation of \(\vec{F}\) around the circle \(C\) of radius 10 centered at the origin in the xy-plane, oriented clockwise as viewed from the positive z-axis. Circulation \(=\int_{C} \vec{F} \cdot d \vec{r}=\)(b) Find the circulation of \(\vec{F}\) around the circle \(C\) of radius 10 centered at the origin in the yz-plane, oriented clockwise as viewed from the positive \(x\)-axis. Circulation \(=\int_{C} \vec{F} \cdot...

E 15.7.5 Question Help Use the surface integral in Stokes Theorem to calculate the circulation of...

E 15.7.5 Question Help Use the surface integral in Stokes Theorem to calculate the circulation of the field F-(72)i+ (x+y)+(x+y)k around the curve C: The square bounded by the lines x 41 and y" t1 in the xy.plane, counterclockwise when viewed from above + d = С
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in...

Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction. 11) F-3yi + yj + zk: C: the counterclockwise path around the boundary of the = 1
Problem 6 Using Stokes' Theorem, we equate F dr curl F dA. Find curl F- PreviousS...

Problem 6 Using Stokes' Theorem, we equate F dr curl F dA. Find curl F- PreviousS us Problem ListNext Noting that the surface is given by (1 point) Calculate the circulation, Fdr7in z - 16-x2 - y2, find two ways, directly and using Stokes' Theorem. dA The vector field F = 6y1-6y and C is the boundary of S, the part of the surface dy dx With R giving the region in the xy-plane enclosed by the surface, this gives...

Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that li...

Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that lies above the plane z1, oriented upwards. 2yzi 3yj +xk and the surface S the part of the paraboloid z 5-x2-y To verify Stokes' Theorem we will compute the expression on each side. First computecurl F dS curl F0,3+2y,-2 Edy dx curl F dS- where x2 = curl F ds- Now compute F.dr The boundary curve C of the surface S can be...