3.6 Linear Extension by End Forces
Consider the static extension of the rod shown in Fig. 3.7 [4]. It is within |x 3 | cross-sectional area is A. The rod is under the action of a pair of equal and opposite
axial forces f which produces an axial stress T. We are interested in the effects of T on
the carrier distribution along the rod.
From Eqs. (3.5) 1 and (1.10), we have
∂T 3
∂x 3
¼ 0,
∂D 3
∂x 3
¼ q Δp À Δn
ð
Þ ,
∂J
p
3
∂x 3
¼ 0,
∂J
n
3
∂x 3
¼ 0,
ð3:66Þ
where, following Eqs. (1.7) and (1.8),
Fig. 3.6 Fields produced by periodic doping. (a) ρ
e /q. (b) E 3 (x 3 ). (c) S 3 (x 3 )
3.6 Linear Extension by End Forces
45