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(B) The magnetic field is given by $B = \frac{\alpha}{t^2}$,which is directed into the plane. As time $t$ increases,the magnitude of the magnetic fiel

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$-ve$

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(B) The magnetic field is given by $B = \frac{\alpha}{t^2}$,which is directed into the plane. As time $t$ increases,the magnitude of the magnetic field $B$ decreases.According to Lenz's Law,the induced current in the loop will try to oppose this decrease in magnetic flux. Therefore,the induced current will flow in a clockwise direction to create an additional magnetic field directed into the plane.For a clockwise current,the positive charge will accumulate on the plate connected to the higher potential side. Following the clockwise path,the current enters plate $B$ and leaves from plate $A$. Thus,plate $A$ will be at a lower potential relative to plate $B$,meaning plate $A$ will acquire a negative charge $(-ve)$.

$A$ conducting loop is placed in a time-varying magnetic field $B = \frac{\alpha}{t^2}$,where $\alpha$ is a positive constant. The magnetic field is directed into the plane of the loop. Determine the nature of the charge on plate $A$ of the capacitor $C$ connected in the loop.

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