$24\mathrm{.}46*$ A parallel$-$plate air capacitor is made by using two plates

$12$

cm

square, spaced

$3\mathrm{.}7$

mm

apart. It is connected to a

$12$

V

battery. $($a$)$ What is the capacitance? $($b$)$ What is the charge on each plate? $($c$)$ What is the electric field between the plates? $($d$)$ What is the energy stored in the capacitor? $($e$)$ If the battery is disconnected and then the plates are pulled apart to a separation of

$7\mathrm{.}4$

mm$,$

what are the answers to parts $($a$)-($d$)?$