In an experiment, you build two rectangular parallel plate capacitors with widths of $2\mathrm{.}35$ cm and using air

as dielectric. The first has a value of $25\mathrm{.}0$ F$,$ the second is $5\mathrm{.}00$ F$.$ Both capacitors are connected to a

power supplier of $12\mathrm{.}5$ V$.$

a$.$ What is the energy in each capacitor?

b$.$ Later you want both capacitors to have the same amount of energy on them. What voltage should

be applied to one capacitor to obtain this result?

c$.$ Assuming the plates of each capacitor are separated by air $8\mathrm{.}00$ mm$,$ what is the size of the plate

of each capacitor.