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  4. V-I characteristics of a silicon diode is shown. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/ee3b7f4f423c3a315354869c00b92ff6-.png /> The ratio of resistance of diode at ID=15 mA and VD=-10 V, is

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Q. $V-I$ characteristics of a silicon diode is shown.
image
The ratio of resistance of diode at $I_{D}=15 \,mA$ and $V_{D}=-10\, V$, is

Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

From the graph, at $I=20 \,mA$
$V=0.8\, V$
and $I=10\, mA , V=0.7\, V$
$r_{F B}=\frac{\Delta V}{\Delta I}=\frac{0.1 V }{10 mA }=10 \,\Omega$
Also, at $V=-10 \,V , I=-1 \mu A$
$r_{R B}=\frac{10 V }{1 \mu A }=1 \times 10^{7} \,\Omega$
$\therefore $ Ratio $=\frac{r_{F B}}{r_{R B}}=\frac{10}{10^{7}}=10^{-6}$