Electromagnetism - Maxwell Equation

Maxwell’s equations can be written in the form shown below. If magnetic charge exists and if it is conserved, which of these equations will have to be changed

A. I only

B. II only

C. III only

D. I and IV

E. II and III

(GR0177 #41)

Solution:

Gauss Law for magnetism:

• It implies there is no magnetic monopoles.
• If there is magnetic monopole:

Faraday Law of Induction:

• The electric field is equal to the negative of the rate of change of the magnetic flux.
• If there is magnetic monopole, an extra term (involving the current of magnetic monopoles) must be added to the right-hand side of the equation in order to make it self-consistent.

Answer: E