Finding current through a rotating surface from current density

[liran avraham]

hi need help in physics HW:
given current density [J][/→]=[J][/0][x][/Λ]
and rotating frame with given surface vector:
$$ A^→ = A_0(cos(wt)x^Λ + sin(wt)y^Λ$$
in need to calculate I(t)
i tried
I = ∫J*dA
but i don't know i to technically do the math
please help me

 

[etotheipi]

Could you elaborate - it's not so clear what problem you actually want to solve! First off, what does the configuration look like?

 

[osilmag]

Hi there. Rewrite your current density function to make it clearer.

Going off of what you've written, it looks like you would integrate your current density function with respect to "t" in the "x" direction since there is not a "y" direction in your current density function.