Two-dimensional Potential Theory

Z

L

log

!

r

!

r

!

r

dl (7.1)

where G

(

!

r ;

!

r

) = (1=2) log j

!

r

!

r

j is two-dimensional Green's

function, is the linear charge density on the cross-sectional contour L, dl

is the element of the contour integral, and

!