Measuring diode voltage and diode current in this circuit, the student generates the following table of data: Vode (volts) lete (milliamperes) 0.600 1.68 0.625 2.88 0.650 5.00 0.675 8.68 0.700 14.75 0.725 27.25 0.750 48.20 The student knows that the behaviour of a PN junction follows Shockley's diode equation, and that the equation may be simplified to the following form: Idiode = 15 (1) where, K = a constant incorporating both the thermal voltage and the nonideality coefficient. The goal of the experiment is to calculate K and Is, so that the diode's current may be predicted for any arbitrary value of voltage drop. However, the equation must be simplified a bit before the student can proceed. At substantial levels of current, the exponential term is very much larger than unity (eld >> 1), so the equation may be simplified as such: diodels (inde) From this equation, determine how the student would calculate K and I, from the data shown in the table. Also, explain how this student may verify the accuracy of these calculated values.

Question

A student sets up a circuit as below to gather data for characterizing a diode: 

100 2
D₁
12 V
0.700
0.725
0.750
Xu
10 km2
Measuring diode voltage and diode current in this circuit, the student generates the following table
of data:
Vdiode (volts) Idiode (milliamperes)
0.600
1.68
0.625
0.650
0.675
2.88
5.00
8.68
14.75
27.25
48.20
The student knows that the behaviour of a PN junction follows Shockley's diode equation, and that
the equation may be simplified to the following form:
Lasode = Is (1)
where,
K = a constant incorporating both the thermal voltage and the nonideality coefficient.
The goal of the experiment is to calculate K and Is, so that the diode's current may be predicted for
any arbitrary value of voltage drop. However, the equation must be simplified a bit before the student
can proceed. At substantial levels of current, the exponential term is very much larger than unity
(elvdiode >> 1), so the equation may be simplified as such:
diode Is
exis (elvdiode/K)
From this equation, determine how the student would calculate K and Is from the data shown in the
table. Also, explain how this student may verify the accuracy of these calculated values.
Transcribed Image Text:100 2 D₁ 12 V 0.700 0.725 0.750 Xu 10 km2 Measuring diode voltage and diode current in this circuit, the student generates the following table of data: Vdiode (volts) Idiode (milliamperes) 0.600 1.68 0.625 0.650 0.675 2.88 5.00 8.68 14.75 27.25 48.20 The student knows that the behaviour of a PN junction follows Shockley's diode equation, and that the equation may be simplified to the following form: Lasode = Is (1) where, K = a constant incorporating both the thermal voltage and the nonideality coefficient. The goal of the experiment is to calculate K and Is, so that the diode's current may be predicted for any arbitrary value of voltage drop. However, the equation must be simplified a bit before the student can proceed. At substantial levels of current, the exponential term is very much larger than unity (elvdiode >> 1), so the equation may be simplified as such: diode Is exis (elvdiode/K) From this equation, determine how the student would calculate K and Is from the data shown in the table. Also, explain how this student may verify the accuracy of these calculated values.
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