a$.$ Find the electric field strength between the plates of a parallel plate capacitor if $500$ mV are applied across the plates and the plates are $1$ inch apart.

b$.$ Repeat part $($a$)$ if the distance between the plates is $\frac{1}{100}$ inch.

c$.$ Compare the results of parts $($a$)$ and $($b$).$ Is the difference in field strength significant?