16.5 Exercise 36

In a region of space, the electric field is pointed along the x-axis, but its magnitude changes as described by
$\begin{matrix}E_{x} = \left(10 \text{N}/\text{C}\right) \text{sin} \left(20 x - 500 t\right) \\ E_{y} = E_{z} = 0\end{matrix}$
where t is in nanoseconds and x is in cm. Find the displacement current through a circle of radius 3 cm in the $x = 0$ plane at $t = 0$.