- #1

EugP

- 107

- 0

## Homework Statement

For the vector field [tex]\bold{E} = \bold{ \hat x} (xy) - \bold{ \hat y} (x^2 + 2y^2)[/tex], calculate the following:

[tex]\oint \bold{E} \cdot d\bold{l}[/tex] around the triangular contour shown.

I don't have a scanner at the moment so I will explain the drawing. The picture is a right triangle. They show an x and y axis. From (0, 0), there is a line going to (1, 0), then from there it goes up to (1, 1), then a diagonal back to (0, 0).

## Homework Equations

## The Attempt at a Solution

I know how to approach it but I seem to be stuck. This is what I have so far:

I gave each coordinate a name: a (0, 0), b (1, 0), and c (1, 1).

[tex]\oint \bold{E} \cdot d\bold{l} = \oint_a^b \bold{E}_{ab} \cdot d\bold{l} + \oint_b^c \bold{E}_{bc} \cdot d\bold{l} + \oint_c^a \bold{E}_{ca} \cdot d\bold{l}[/tex]

At this point I'm stuck. Could someone please point me in the right direction?