The source of a time-varying magnetic field may be:
$(A)$ $A$ permanent magnet
$(B)$ An electric field changing linearly with time
$(C)$ Direct current
$(D)$ $A$ decelerating charged particle
$(E)$ An antenna fed with a digital signal
Choose the correct answer from the options given below:

$A$ magnetic field can be produced by

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: $\varepsilon_0 = 8.85 \times 10^{-12} \text{ F/m}$,$\mu_0 = 4\pi \times 10^{-7} \text{ T} \cdot \text{m/A}$)

Show that the magnetic field $B$ at a point in between the plates of a parallel-plate capacitor during charging is $B = \frac{{\mu _0 \epsilon _0 r}}{2} \cdot \frac{{dE}}{{dt}}$ (symbols have their usual meanings).

Maxwell's equations describe the fundamental laws of

An accelerated electric charge emits