A $5\mathrm{.}00$ pFpF$,$ parallel$-$plate, air$-$filled capacitor with circular plates is to be used in a circuit in which it will be subjected to potentials of up to $1\mathrm{.}00102$V$1\mathrm{.}00102$V$.$ The electric field between the plates is to be no greater than $1\mathrm{.}00104$N$/$C$1\mathrm{.}00104$N$/$C$.$ As a budding electrical engineer for Live$-$Wire Electronics, your task is to design the capacitor by finding what its physical dimensions and separation must be$.$

What must the separation between the plates in the designed capacitor be$?$

Express your answer with the appropriate units.

What must the radius of each plate in the designed capacitor be$?$

Express your answer with the appropriate units.

Find the maximum charge these plates can hold.

Express your answer with the appropriate units.