Flux through cylinder problem: Finding the lateral area using vector calculus

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SUMMARY

The discussion centers on calculating the flux through a cylinder using vector calculus, specifically focusing on the lateral area. The user initially believes that the flux through the top and bottom surfaces is zero due to the absence of a z-axis component in the area vector. However, they encounter an error, expecting a result of 120 but obtaining 0 instead. The key takeaway is the importance of correctly identifying the normal vector for the lateral surface of the cylinder to accurately compute the flux.

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  • Understanding of vector calculus principles
  • Familiarity with surface integrals
  • Knowledge of normal vectors in three-dimensional geometry
  • Basic concepts of flux in physics
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  • Review the calculation of surface integrals in vector calculus
  • Study the properties of normal vectors and their applications
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Homework Statement



Hey guys.

I have this question:

http://img122.imageshack.us/img122/2936/84391716.jpg

I think that the flux through the top and bottom is zero and that because A does not have a component in the z axis direction.
So all that got left is the lateral area.
Well, I get 0 and I don't know why. I'm suppose to get 120, I obviously have a mistake and I don't know where.
Can I please have some help?

Thanks


Homework Equations





The Attempt at a Solution

 
Last edited by a moderator:
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The normal vector to your cylinder certainly isn't (1,0,0), is it?
 

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