(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the following question by using Stokes' Theorem.

(Line integral on C) 2zdx + xdy + 3ydz = ? where C is the ellipse formed by

z = x, x^2 + y^2 = 4.

2. Relevant equations

3. The attempt at a solution

We have the vector A=(2z,x,3y) which is cont. differentiable and

curl(A) = (3,2,1). Now we have to parametrize the smooth surface S whose boundary is C and obtain a normal. I'm confused here how to choose the parameters. I solved it using the usual way and got -8*Pi. Can you help me to arrange the double integral in order to solve it by using Stokes' Thm.? Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Application of Stokes' Theorem

**Physics Forums | Science Articles, Homework Help, Discussion**