Consider the four Maxwell equations: Which of these must be modified if magnetic poles are discovered?

Question

Consider the four Maxwell equations:  Which of these must be modified if magnetic poles are discovered?

Quizplus · Accepted Answer

If magnetic poles are discovered, then the second Maxwell equation, also known as Gauss's law for magnetism (II), must be modified to include the existence of magnetic charges (i.e. magnetic monopoles). This would result in the equation $
abla \cdot \vec{B} = ho_m$, where $ho_m$ is the magnetic charge density. The third Maxwell equation, also known as Faraday's law of induction (III), would also need to be modified since it relies on the assumption that magnetic monopoles do not exist. However, the first and fourth Maxwell equations, also known as Gauss's law for electricity (I) and Ampere's law with Maxwell's correction (IV), respectively, do not make any assumptions regarding the existence of magnetic monopoles and therefore would not need to be modified.

Consider the Four Maxwell Equations: Which of These Must