Recitation Worksheet 4\ Page 6\ Let

O(0,0),A(x,0)

, and to find a potential function from a different method.\

B(x,y)

. Set

\\\\phi (O)=0

.\ .

\\\\int_C F*Td

over the line segment

OA

. This is

\\\\phi (A)

.\ Evaluate

\\\\int_C F*Tds

over the line segment

AB

. This is

\\\\phi (B)-\\\\phi (A)

.\

tr\\\\phi (B)=\\\\phi (x,y)

. This is the potential function

Let O(0,0),A(x,0), and B(x,y) potential function from a different method. (x,y). Set (O)=0. Page r(t)=CFTds over the line segment OA. This is (A). Evaluate CFTds over the line segment AB. This is (B)(A). tr(B)=(x,y). This is the potential function