Question

If magnetic monopolesexisted, how would the Gauss Law of magnetism be modified?

Answer 1

$$\begin{gathered} Gauss\text{'}slawofelectriccharge, \\ \oint \overrightarrow{E}.\overrightarrow{dS}=\frac{q}{{\epsilon }_0},becausemonoindependentchargeexists. \\ Ontheotherhand\sin cemagneticmonopoledoesnotexists,so \\ ana\log eousGauss\text{'}slawofmagnetismdoesnotexists,therefore, \\ \oint \overrightarrow{B}.\overrightarrow{dS}=0 \\ IncasemonopolewouldhaveexistedthenGauss\text{'}slawofmagnetismmighthavebeen, \\ \oint \overrightarrow{B}.\overrightarrow{dS}={\mu }_0\times m, \\ ms\tan dsformagneticpolestregth. \end{gathered}$$