Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Induction

Question:

If magnetic monopoles existed, how would the Gauss's law in magnetism be modified?

Options:

$\oint\limits_S \vec{B} . d \vec{s}=\mu_0 I$; where I is the current enclosed by S.

$\oint\limits_S \vec{B} . d \vec{s}=\mu_0 q_m$; where $q_m$ is monopole magnetic charge enclosed by S.

$\oint\limits_S \vec{B} . d \vec{l}=\mu_0 q_m$; where $q_m$ is monopole magnetic charge enclosed by S.

$\oint\limits_S \vec{B} . d \vec{s}=\frac{q_m}{\mu_0}$; where $q_m$ is monopole magnetic charge enclosed by S.

Correct Answer:

$\oint\limits_S \vec{B} . d \vec{s}=\mu_0 q_m$; where $q_m$ is monopole magnetic charge enclosed by S.

Explanation:

The correct answer is Option (2) → $\oint\limits_S \vec{B} . d \vec{s}=\mu_0 q_m$; where $q_m$ is monopole magnetic charge enclosed by S.

If magnetic monopole existed, the Gauss’s law in magnetism would be modified in the following manner:

$\oint \vec{B} . d \vec{s}=\mu_0\left(q_m\right)$

where qm = monopole magnetic charge enclosed by closed surface S.