- #1
physics&math
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Homework Statement
The problem asks to find the flux through a cylinder of radius R and height h.
Homework Equations
Flux = ∫∫FndS over S
F = (ix + jy)*ln(x2+y2)
The Attempt at a Solution
After finding the unit normal vector (n) to the curved surface of the cylinder, the integral simplified down to:
∫∫((x2+y2)/√(x2+y2))*ln(x2+y2)dS
I'm wondering if it is ok to replace x2+y2 with R2. Then the integral would be:
∫∫Rln(R2)dS
and since R is a constant
Rln(R2)∫∫dS
= 4*pi*hR2ln(R). which is the correct answer