Problem #3: 3.6. A diode has wdo = 0.4 µm and φj = 0.85 V. (a) What reverse bias is required to triple the depletion-layer width? (b) What is the depletion region width if a reverse bias of 7 V is applied to the diode?

Respuesta :

Answer:

a) 6.8 Volt

b) 1.21Цm

Explanation:

We are given from the question that

   The zero -bias depletion layer width([tex]W_{do}[/tex]) is 0.4Цm

  The built in voltage φj  is 0.85V

Now to calculate the reverse voltage( [tex]V_{R}[/tex]) that would be required  to triple the depletion - layer width.

  The depletion - layer width ([tex]W_{d}[/tex]) of the diode has the formula

                          [tex]W_{d} = W_{do} \sqrt{1 + \frac{V_{R} }{Qj} }[/tex]

    For three times of   [tex]W_{d}[/tex] we have

        [tex]3W_{d} = W_{do} \sqrt{1 +\frac{V_{R} }{Qj} }[/tex]

         =>      [tex]\frac{V_{R} }{Qj} = 3^{2} -1[/tex]

        => [tex]V_{R} = 8Qj[/tex]

        Substituting value of φj

       We have

                         [tex]V_{R} = 8(0.85V)[/tex]

                               =   6.8 V

The required bias voltage  [tex]V_{R}[/tex] is  6.8 V

   The solution for the b part of the question is uploaded on first image

Ver imagen okpalawalter8