GATE Electronics and Communications (EC) 2020 Solved Papers

Question : 63 of 65

Marks: +1, -0

A one-sided abrupt pn junction diode has a depletion capacitance Co of

50 {PF}

at reverse bias of

0.2 {V}

. The plot of

1 {/} {C}_{ {D}}^{2}

versus the applied voltage

{V}

for this diode is a straight line as shown in the below. The slope of the plot is

. . . . . . × 10^{20} {F}^{-2} {V}^{-1}

Solution:

insufficient data
We know that

C_{d} ∝ \;{1}/{√{V_{0}+V_{R}}}

\;{1}/{(C_{d})^{2}}=K(V_{0}+V_{R})

\;{1}/{(50 × 10^{-12})^{2}}= {K}[ {V}_{0}+ {V}_{ {R}}]

Reverse bias voltage given

{V}_{ {R}}=0.2 {V}

V_{0}=

applied voltage.

{K}=\;{1}/{2500( {V}_{0}+ {V}_{ {R}})} × 10^{24}

value of

V_0

is not given soslope will not to be calculated

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