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2 months ago

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At what forward voltage does a diode conduct a current equal to 10,000 Is ? In terms of Is , what current flows in the same diod

e when its forward voltage is 0.7 V?

1 answer:

pantera1 [306]2 months ago

6 0

Answer:a) The forward voltage is 0.23 V

b) The current that flows

$I_{d} = (1.45*10^{12}I_{s})A$

Explanation:

The forward voltage refers to the minimum voltage required for a diode to start conducting. The formula used is given by:

a) At which forward voltage does a diode allow a current equal to 10,000 Is? In terms of Is

$I_{d} = I_{s}(e^{\frac{v_{f} }{0.025} }-1)$

Where:

Id denotes the diode current = 10000Is,

Vd stands for the forward voltage at which conduction begins,

Is indicates the saturation current.

$I_{d} = I_{s}(e^{\frac{v_{f} }{0.025} }-1)$

$10000I_{s} = I_{s}(e^{\frac{v_{f} }{0.025} }-1)$

By dividing through by Is,

$10000 = (e^{\frac{v_{f} }{0.025} }-1)$

$10000 +1= e^{\frac{v_{f} }{0.025} }$

$10001= e^{\frac{v_{f} }{0.025} }$

Taking the natural log of both sides,

$ln(10001)= {\frac{v_{f} }{0.025} }$

$9.21= {\frac{v_{f} }{0.025} }$

Multiplying through by 0.025 yields

= 0.23 V

This indicates the forward voltage at which the diode conducts a current equal to 10,000 Is is 0.23 V

b) What current flows in the same diode when the forward voltage is 0.7 V?

$I_{d} = I_{s}(e^{\frac{v_{f} }{0.025} }-1)$

$I_{d} = I_{s}(e^{\frac{0.7}{0.025} }-1)$

$I_{d} = I_{s}(1.45*10^{12} -1)$

$I_{d} = (1.45*10^{12}I_{s})A$

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