Help me understand this question
#basic help
thin solstice
ruby turretBOT
rose crown
take the dotproduct of the potential function evaluated at r(t) and the derivative of the parametrization r(t) with respect to t, integrated over the bounds 0 to 1
thin solstice
ok any more tips
rose crown
In this case the potential function is not conservative, if it was you could have solved for a function f whose gradient gives you the potential field, you could then evaluate this function at the boundary points and take the difference, quite useful if the integral of the dotproduct is not trivial
Main difficulty with these problems is usually setting up a paremetrization but in this case youre already given it, and substituting the values in and taking a dot product just gives you the integral of diferent powers of t, which is relatively easy
You could also use greens theorem for a closed simply connected surface, and there are ways of using greens theorem for this problem as well but in this case its more trouble than its worth
rose crown
should be 3/5, what does your integrand look like?
ruby brook
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