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(A) As the coil moves from above the magnet towards the center,the magnetic flux increases,reaches a maximum at the center,and then decreases as it mo

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$A$

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(A) As the coil moves from above the magnet towards the center,the magnetic flux increases,reaches a maximum at the center,and then decreases as it moves away to the bottom. When moving back from bottom to top,the flux changes in the opposite direction (or follows a symmetric path depending on the orientation). The magnetic flux $\Phi$ is defined as $\int \vec{B} \cdot d\vec{A}$. As the coil passes through the magnet,the field lines first point in one direction and then in the opposite direction relative to the coil's area vector. Graph $A$ shows the flux increasing to a positive maximum,passing through zero (at the center of the magnet where field lines are parallel to the coil plane),and then reaching a negative minimum as it moves to the other side. This represents the change in flux correctly for a coil moving through the magnetic field of a bar magnet.

The diagram shows the magnetic field lines of a bar magnet. $A$ coil is moved from above the magnet to below it and then back to the original position. Which of the following graphs best represents the variation of magnetic flux $\Phi$ through the coil with time $t$?

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