GATE Electronics and Communications (EC) 2020 Solved Papers

Question : 53 of 65

Marks: +1, -0

A pn junction solar cell of area

1.0 {cm}^{2}

, illuminated uniformly with

100 {mW} {cm}^{-2}

, has the following parameters: Efficiency

=15 \%

, open circuit voltage

=0.7 {V}

, fill factor

=0.8

, and thickness

=200 µ {m} .

The charge of an electron

1.6 × 10^{-19} {C}

. The average optical generation rate (in

{cm}^{-3} {s}^{-1})

Solution:

Fill factor,

{FF}=\;{ {P}_{0}}/{ {V}_{ {OC}} {I}_{ {SC}}} . . .(1)

Efficiency,

η=\;{ {P}_{0}}/{P_{\;\text "in "\;}}

where

P_{\;\text "in "\;}=100 \;{ {mW}}/{ {cm}^{2}} ×

Area

=100 \;{ {mW}}/{ {cm}^{2}} × 1 {cm}^{2}

=100 {mW} .

0.15=\;{ {P}_{0}}/{100 {mW}}

∴ {P}_{0}=15 {mW} . . .(2)

(1) ⇒ 0.8=\;{15 {mW}}/{0.7 × {I}_{ {SC}}}

{Isc}=0.027 {A}

Optical generation rate,

G_{\;\text "avg "\;}=\;{ {I}_{\;\text "SC "\;}}/{q × \;\text " Area "\; × \;\text " thickness "\;}

=\;{0.027}/{1.6 × 10^{-19} × 1 × 200 × 10^{-4}}

=0.837 × 10^{19} {/ } {cm}^{3} {/ } {S}

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