15_6_15 - ± x i y j a ² ds = a 2 a × 2 π a = 2 π a 2 b...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
15. The flux of the plane vector field F across the piecewise smooth curve , in the direction of the unit normal ˆ N to the curve, is Z F n ds . The flux of F = x i + y j outward across a) the circle x 2 + y 2 = a 2 is I F
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ± x i + y j a ² ds = a 2 a × 2 π a = 2 π a 2 . b) the boundary of the square-1 ≤ x , y ≤ 1 is 4 Z 1-1 ( i + y j ) • i dy = 4 Z 1-1 dy = 8 ....
View Full Document

This note was uploaded on 03/08/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.

Ask a homework question - tutors are online