Maxwell's second equation explains how magnetic fields are created by electric currents and time-varying electric fields.

The term $\frac{\partial \mathbf{D}}{\partial t}$ is known as displacement current density.

This equation demonstrates that a magnetic field exists even in the absence of a conduction current if the electric field changes over time.

Ensures consistency with the principle of charge conservation.

Predicts the existence of electromagnetic waves in free space.

Does not account for magnetic monopoles (which are explicitly forbidden by Gauss's Law for magnetism).

Mathematical complexity increases with dynamic fields.

Design of antennas and wave propagation systems.

Analysis of capacitors under high-frequency AC signals.

Maxwell's equations are often listed in different orders depending on the textbook; however, the equation involving the curl of H is universally known as the Maxwell-Ampere law.

Option B (Faraday's Law) corresponds to Maxwell's third equation ($\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}$).