16.2 Exercise 14

The following represents an electromagnetic wave traveling in the direction of the positive y-axis: $\begin{matrix}E_{x} = E_{0} \text{cos} \left(k y - \omega t\right) ; E_{y} = 0 ; E_{z} = 0 \\ B_{x} = 0 ; B_{y} = 0 ; B_{z} = B_{0} \text{cos} \left(k y - \omega t\right)\end{matrix}$.
The wave is passing through a wide tube of circular cross-section of radius R whose axis is along the x-axis. Find the expression for the displacement current through the tube.