please help Repeat the above example but assume an exponential gradient (Fig. 2.14):Injection0L XFigure 2.14 Current resulting from an exponential diffusion profile.where La is a constant.7n(x) = N exp-XLa9The factor La is necessary to convert the exponent to a dimensionless quantity. We haveJn=qDn=dndx-qDnNLaexp-XLd(2.48)At what value of x does the current density drop to 1% of its maximum value?(2.49)Interestingly, the current is not constant along the x-axis. That is, some electrons vanishwhile traveling from x = 0 to the right. What happens to these electrons? Does thisexample violate the law of conservation of charge? These are important questions andwill be answered in the next section.

When the current density drops to 1% of its maximum value, it indicates that the number of charge…

Answered: We have dn Jn =qDn dx = -qD₂N La exp -X…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Transcribed Image Text:Repeat the above example but assume an exponential gradient (Fig. 2.14): Injection 0 L X Figure 2.14 Current resulting from an exponential diffusion profile. where La is a constant.7 n(x) = N exp -X La 9 The factor La is necessary to convert the exponent to a dimensionless quantity.

We have
Jn=qDn
=
dn
dx
-qDnN
La
exp
-X
Ld
(2.48)
At what value of x does the current density drop to 1% of its maximum value?
(2.49)
Interestingly, the current is not constant along the x-axis. That is, some electrons vanish
while traveling from x = 0 to the right. What happens to these electrons? Does this
example violate the law of conservation of charge? These are important questions and
will be answered in the next section.

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