Which of the following conclusions can be drawn from the result $\oint \vec{B} \cdot d\vec{A} = 0$?

Consider a closed loop $C$ in a magnetic field as shown in the figure. The flux passing through the loop is defined by choosing a surface whose edge coincides with the loop and using the formula $\phi = \sum \vec{B}_i \cdot d\vec{A}_i$. Now,if we choose two different surfaces $S_1$ and $S_2$ having $C$ as their edge,would we get the same answer for the magnetic flux? Justify your answer.

Write Gauss's law in equation form for electrostatics and magnetism. What is the difference between them?

$A$ long straight wire carrying a constant current $i$ is placed in the same plane as a rectangular loop of length $l$. The distance of the sides of the loop from the wire are $r_1$ and $r_2$. If the area under the curve of the magnetic field $B$ versus distance $r$ graph between $r_1$ and $r_2$ is $A$,find the magnetic flux through the loop.

If $B$ is the magnetic field and $q$ is the charge,then which of the following represents Gauss's law of magnetism?

When does the magnetic flux become zero?