Physics - EM Waves Question with Solution | TestHub

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

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