Chapter 3.4, Problem 3.8E

To determine

To prove: For $pn$ junction, the relation for depletion layer width, depletion region width for the $n$ side, the depletion layer width for the $p$ side, the charge stored on the either side for the more $p$ type junction and for more $n$ type junction are specified as

  $W=\sqrt{\frac{2{\epsilon }_s}{q{N}_D}{V}_0}$

  $x_n=W$

  $x_p=W/\left(N_A/N_D\right)$

  $Q_j=Aq{N}_{D}W$

  $Q_j=A\sqrt{2{\epsilon }_{s}q{N}_D{V}_0}$