- ACase $(i)$ contradicts Gauss’s law for electrostatic fields.
- ✓Case $(ii)$ contradicts Gauss’s law for magnetic fields.
- CCase $(i)$ agrees with $\oint\text{E.dl=0.}$
- DCase $(ii)$ contradict $\oint\text{H.dl}=\text{I}_\text{en}$.
Key concept: The electrostatic field lines, do not form a continuous closed path (this follows from the conservative nature of electric field) while the magnetic field lines form the closed paths.
According to the Gauss' law, $\oint\text{E.ds}=\frac{\text{q}}{\in_0}$ for electronstatic field. It does not contradict foe eletrostatic fields as the elecric field lines do not form a continuous closed path.
According to Gauss' law in magnetism.
$\oint\text{B.ds}=0$
Which implies that number of magnetic field lines entering the Gaussian surface is equal to the number of magnetic field lines leaving it. Therefore case $(ii)$ is not possible.
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