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14.Semiconductor Electronics
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A certain $p-n$ junction, having a depletion region of width $20 \,\mu m$, was found to have a breakdown voltage of $100 \,V$. If the width of the depletion region is reduced to $1 \,\mu m$ during its production, then it can be used as a zener diode for voltage regulation of .......... $V$
A
$5$
B
$10$
C
$7.5$
D
$2000$
(KVPY-2014)
Solution
(a)
Breakdown occurs for a semiconductor at a particular value of field which is independent of amount of doping concentration. Hence, breakdown field is same for both cases.
Now using, $E=\frac{d V}{d r}$, we have
$\frac{V_1}{d_1}=\frac{V_2}{d_2} \Rightarrow \frac{100}{20}=\frac{V_2}{1}$
$\Rightarrow \quad V_2=5 V$
Standard 12
Physics