Physics - EM Waves Question with Solution | TestHub

Seawater at a frequency $f=9\times {10}^2 \mathrm{Hz}$, has permittivity $\epsilon =80{\epsilon }_0$ and resistivity $\rho =0.25 \mathrm{\Omega } \mathrm{m}$. Imagine a parallel plate capacitor is immersed in seawater and is driven by an alternating voltage source $V\left(t\right)=V_0\sin \left(2\pi ft\right)$. Then the conduction current density becomes ${10}^{\mathrm{x}}$ times the displacement current density after time $t=\frac{1}{800} \mathrm{s}.$ The value of $x$ is _______

(Given $\left.:\frac{1}{4\pi {\epsilon }_0}=9\times {10}^9 \mathrm{N} {\mathrm{m}}^2 {\mathrm{C}}^{-2}\right)$