Problem $3\mathrm{.}64.$ Consider a perfect dipole at the origin, pointing in the y direction. Using the

method of Prob. $2\mathrm{.}65,$ plot the field line that passes through the point $(2,0).($You might as well

set p$//(4$piepsilon$\_(0))$rarr$1.)$ What do you suppose is the line integral ointE$*$dl around the $($closed$)$

loop? $[$Beware: This is a trick question. Explain your answer.$]$ Draw a diagram with $25$ field lines.

$[$Notice that StreamPo ints $->25$ chooses "representative" field lines, but their density

is not proportional to the strength of the field, as you can see from where they cross the x$-$axis

they should get farther and farther apart.$]$ For Wolfram Alpha please