Find expression for electric field given B(t)

[mkematt96]

Homework Statement

See picture above

Homework Equations

Int (E dot dl) = Int (B dot dA)

The Attempt at a Solution

Where did I go wrong? Is there a sign error possibly or am I off conceptually? [/B]

 

[Charles Link]

The only thing I see that is incorrect is in your relevant equations (2), it should say $-dB/dt$ instead of $B$. Their $dl$ in the figure is in the opposite direction of what it should be, but I don't think that is your mistake. The line integrals in these Stoke's formulas always go counterclockwise with +z out of the paper. Perhaps the instructor wanted you to spot that anomaly, etc...