Semiconductors

JEE Main level, single correct, medium

45 of 209

Question 45 of 209

In the given circuit if the power rating of Zener diode is 10mW10mW, the value of series resistance Rs{R}_{s} to regulate the input unregulated supply is:

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Answer: (A) 37kΩ\dfrac{3}{7}k\Omega


Potential drop across
Rs{R}_{s},
V1=8−5=3V{V}_{1}=8-5=3V
Current through the load resistor

I=51×103=5mAI=\dfrac{5}{1\times {10}^{3}}=5mA
Maximum current through Zener diode

IZ,max⁡=105=2mA{I}_{Z,\max }=\dfrac{10}{5}=2mA
And minimum current through Zener diode

IZ,min⁡=0{I}_{Z,\min }=0
∴IS,max⁡=5+2=7mA∴{I}_{S,\max }=5+2=7mA
And
RS,min⁡=V1IS,max⁡=37kΩ{R}_{S,\min }=\dfrac{{V}_{1}}{{I}_{S,\max }}=\dfrac{3}{7}k\Omega
Similarly,

IS,min⁡=5mA{I}_{S,\min }=5mA
And
RS,max⁡=V1IS,min⁡=35kΩ{R}_{S,\max }=\dfrac{{V}_{1}}{{I}_{S,\min }}=\dfrac{3}{5}k\Omega
∴37kΩ<Rs<35kΩ∴\dfrac{3}{7}k\Omega \lt {R}_{s}\lt \dfrac{3}{5}k\Omega

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