Suppose that the electric flux inside a parallel plate capacitor changes at a rate of $7 \times 10^{14} \text{ V} \cdot \text{m/s}$. If the area of the plates is $1 \text{ m}^2$,calculate the magnetic field $B$ at a distance $r = 0.1 \text{ m}$ from the axis of the capacitor. (Given: $\varepsilon_0 = 8.85 \times 10^{-12} \text{ F/m}$,$\mu_0 = 4\pi \times 10^{-7} \text{ T} \cdot \text{m/A}$)

What suggestion was made to correct the discrepancies in Ampere's circuital law?

Who discovered for the first time that a changing electric field can produce a magnetic field?

Seawater at a frequency $f = 9 \times 10^{2} \, Hz$ has permittivity $\varepsilon = 80 \varepsilon_{0}$ 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 $t = \frac{1}{800} \, s$. The value of $x$ is ......... . $\left(\frac{1}{4 \pi \varepsilon_{0}} = 9 \times 10^{9} \, Nm^{2} C^{-2}\right)$

What did Hertz observe in his experiment to produce electromagnetic waves?

$A$ capacitor of capacitance $C$ is connected across an $AC$ source of voltage $V$,given by $V = V_{0} \sin \omega t$. The displacement current between the plates of the capacitor would then be given by: