If magnetic monopoles existed, then which of the following Maxwell's equations would be modified?

Question

If magnetic monopoles existed, then which of the following Maxwell's equations would be modified? (A)  oint vecE ⋅ d s=(q/ε0) (B)  oint vecB ⋅ vecd s=0 (C)  oint vecE ⋅ d l=(d/d t) ∫ vecB ⋅ vecd s (D)  oint vecB ⋅ d l=μ0 ϵ0 (d/d t) ∫ vecE ⋅ d s+μ0 i

Tardigrade Admin · Accepted Answer

If magnetic monopole existed, then the Guass' law for magnetism will get modified. In that case, oint vecB ⋅ vecd s=(qm/ϵ0), where qm is the magnetic charge.

Q. If magnetic monopoles existed, then which of the following Maxwell's equations would be modified?

$\oint E \cdot d s = \frac{q}{ε _{0}}$

$\oint B \cdot d s = 0$

$\oint E \cdot d l = \frac{d}{d t} \int B \cdot d s$

$\oint B \cdot d l = μ_{0} ϵ_{0} \frac{d}{d t} \int E \cdot d s + μ_{0} i$

If magnetic monopole existed, then the Guass' law for magnetism will get modified.
In that case, $\oint B \cdot d s = \frac{q _{m}}{ϵ _{0}},$ where $q_{m}$ is the magnetic charge.

Q. If magnetic monopoles existed, then which of the following Maxwell's equations would be modified?

∮E⋅ds=ε0​q​

∮B⋅ds=0

∮E⋅dl=dtd​∫B⋅ds

∮B⋅dl=μ0​ϵ0​dtd​∫E⋅ds+μ0​i

If magnetic monopole existed, then the Guass' law for magnetism will get modified. In that case, ∮B⋅ds=ϵ0​qm​​, where qm​ is the magnetic charge.

$\oint E \cdot d s = \frac{q}{ε _{0}}$

$\oint B \cdot d s = 0$

$\oint E \cdot d l = \frac{d}{d t} \int B \cdot d s$

$\oint B \cdot d l = μ_{0} ϵ_{0} \frac{d}{d t} \int E \cdot d s + μ_{0} i$

If magnetic monopole existed, then the Guass' law for magnetism will get modified.
In that case, $\oint B \cdot d s = \frac{q _{m}}{ϵ _{0}},$ where $q_{m}$ is the magnetic charge.