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Line integrals?

  • Thread starter Frenchy
  • Start date
  • #1
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1. Evaluate the line integral∫F . dr with F = 3(-y,x,0) from (a,0,0) to (a,0,2πb) along a straight line.

2. Do the same along a circular helix between the two points, parameterised as r = (a cosλ, a sinλ, bλ)

3. Compute the curl of F. How does this relate to the two integral calculations above?

I know Curl = \nabla x F

My notes on this don't seem to be that great, and I'm just completely lost, tbh.

Any help?

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
63
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It should seem obvious that, since there is no force applied in the z in the first one, no work is done. From experience, I know that it is again zero in part 2. What do you get for the curl? Solving for it should show you tell you something important.
 

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