Two parallel-plate capacitors with different distances between the plates are connected in parallel to a voltage source. A point positive charge is moved from a point `A`, that is exactly in the middle between the plates of a capacitor `C_(1)` to a point `B`(or a capacitor `C_(2)` that lies at a distance from the negative plate of `C_(2)` equal to half the distance between the plates of `C_(1)`) During this process of moving the charge.
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Options

A. The potential at `A` is greater than point at `B`
B. The potential at `A` is less than potential at `B`
C. The work done to move that point positive charge from `A` to `B` is greater than zero.
D. The work done to move the point positive charge from `A` to `B` is zero.

Answer

B, C