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Topic: Flux of A Vector Field (Read 409 times) |
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Whiskey Tango Foxtrot
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Flux of A Vector Field
« on: Dec 5th, 2006, 7:29pm » |
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What is the flux of the vector field r/r3 through the surface (x-1)2 + y2 + z2 = 2
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"I do not feel obliged to believe that the same God who has endowed us with sense, reason, and intellect has intended us to forgo their use." - Galileo Galilei
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Eigenray
wu::riddles Moderator
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Re: Flux of A Vector Field
« Reply #1 on: Dec 6th, 2006, 6:20am » |
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Just 4[pi], by Gauss's law / Stokes's theorem.
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Whiskey Tango Foxtrot
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Sorry Goose, it's time to buzz a tower.
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Re: Flux of A Vector Field
« Reply #2 on: Dec 6th, 2006, 8:54am » |
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Yep. Many people forget about Gauss and Stokes for problems like this. 
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"I do not feel obliged to believe that the same God who has endowed us with sense, reason, and intellect has intended us to forgo their use." - Galileo Galilei
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Sameer
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Pie = pi * e
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Re: Flux of A Vector Field
« Reply #3 on: Dec 6th, 2006, 10:42am » |
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You talking about forgetting Gauss/Stoke? I can't remember how to even start this vector calculus problem.. there was a time when I loved this subjet (actually I still do; just don't remember it)... I haven't used it since I came out of school... which is why I come here  now i have an excuse to open up my math text book refresh the subject and post a solution.. even tho Eigenray already gave the answer...
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"Obvious" is the most dangerous word in mathematics.
--Bell, Eric Temple
Proof is an idol before which the mathematician tortures himself.
Sir Arthur Eddington, quoted in Bridges to Infinity
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