A p$+$ n junction diode is doped with $1016$ dopants on the lightly doped n side. It has an area

of $1$ cm $2$

$.$

a$.$ What is the depletion width of this junction at zero bias?

b$.$ What is the capacitance of the junction at a reverse bias V A$=-1$ V$.$ Hint: use the

parallel plate capacitor equation.

c$.$ If we want to maximize the capacitance of a p$+$ n junction, what are two things we

can change and how should we change them $($increase or decrease$)?$ Explain why.