If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then:A. the charge stored in it, increases.B. the energy stored in it, decreases.C. its capacitance increases.D. the ratio of charge to its potential remains the same.E. the product of charge and voltage increases.Choose the most appropriate answer:

When plates are moved closer ($d$ decreases) while connected to a battery ($V$ is constant):C: $C=\frac{{ϵ}_{0}A}{d}$. As $d$ decreases, $C$ increases. (Statement C correct)A: $Q=CV$. Since $C$ increases and $V$ is constant, $Q$ increases. (Statement A correct)B: $U=\frac{1}{2}C{V}^2$. Since $C$ increases, $U$ increases. (Statement B incorrect)D: $Q/V=C$. Since $C$ changes, the ratio $Q/V$ changes. (Statement D incorrect)E: Product $Q\cdot V$. Since $Q$ increases and $V$ is constant, $QV$ increases. (Statement E correct)Correct statements: A, C, E.