Question 4.19: A PN-junction diode has a reverse saturation current of 30 μ...

A PN-junction diode has a reverse saturation current of 30 μA at a temperature, of 125°C. At the same temperature, find the dynamic resistance for 0.2 V bias in forward and reverse directions.

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Given The reverse saturation current, I_{o} = 30 × 10 ^{– 6}  A  and  V = 0.2  V

We know that the dynamic resistance =\frac{\eta V_{T} }{I_{0}e^{V/\eta V_{T} } }

Here, η = 1 for germanium and V_{T}=\frac{T}{11,600} =\frac{125+273}{11,600} =34.3  mV

Therefore, forward dynamic resistance r_{f}=\frac{34.3\times 10^{-3} }{30\times 10^{-6}(e^{0.2/34.3\times 10^{-3} } ) }=3.356  \Omega

Reverse dynamic resistance, r_{r}=\frac{ \eta V_{T} }{I_{0}e^{-V/\eta V_{T} } } =\frac{34.3\times 10^{-3} }{30\times 10^{-6}(e^{-0.2/34.3\times 10^{-3} } ) } =389.5k\Omega

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