Vector Calculus II: Flux Integrals

Tylerdhamlin
Messages
11
Reaction score
0

Homework Statement




F = 2i + 3j through a disk of radius 5 in the plane y = 2 oriented in the direction of increasing y.
Calculate the flux of the vector field through the surface.


Homework Equations





The Attempt at a Solution



I know that I need to calculate the area vector of the surface and then dot that with F, However, I'm in a bit of a brain slump and can't figure out how to calculate the Area Vector.
 
Physics news on Phys.org
Well, in the simple case of a planar (flat) area, the area vector is the unit normal multiplied by the usual area element in that plane.
 
Yes. Shortly after the post, I was able to solve this problem. Anyways, thank you for your help.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top