A specified volume of space contains an electric field for which the magnitude is given by \(E=E_{0} \cos (\omega t)\). Suppose that \(E_{0}=10 \mathrm{~V} / \mathrm{m}\) and \(\omega=1.0 \times 10^{7} \mathrm{~s}^{-1}\).

(a) What is the maximum displacement current through a \(0.50-\mathrm{m}^{2}\) cross-sectional area of this volume? 

\((b)\) How would this area have to be oriented relative to the electric field to get this maximum displacement current?