According to Gauss's law for magnetism, the net magnetic flux through any closed surface is always zero. This is because magnetic field lines form closed loops and do not begin or end at any point, implying there are no magnetic monopoles. Mathematically, Gauss's law for magnetism is expressed as:
∊B · dA = 0
where ∊B represents the magnetic flux density and dA is a differential element of area on the closed surface. This equation indicates that the total amount of magnetic field lines entering the surface is equal to the amount leaving it, resulting in a net magnetic flux of zero.
Option | Explanation |
Negative | Magnetic field lines do not have directionality that would result in a net negative flux. |
Zero | As explained by Gauss's law for magnetism, the net flux is always zero. |
Positive | There is no unidirectional field contribution in closed surfaces to result in a positive flux. |
Infinity | Magnetic field lines do not accumulate to infinite flux in a closed surface. |
Thus, the correct answer is: Zero
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is: