7-11. Two cylindrical copper electrodes of radius a are oriented normal to a silicon disk of thickness 8, and are separated axially by the distance 6. The electrodes are embedded in the disk to the depth 8; in other words, they go completely through the disk. The lateral dimensions of the disk are large com- pared with b, and may bc considercd infinite. Taking the conductivity of silicon to be g, fînd the current between tihe eiectrodes when iheir poieutiai difference is AU.
7-11. Two cylindrical copper electrodes of radius a are oriented normal to a silicon disk of thickness 8, and are separated axially by the distance 6. The electrodes are embedded in the disk to the depth 8; in other words, they go completely through the disk. The lateral dimensions of the disk are large com- pared with b, and may bc considercd infinite. Taking the conductivity of silicon to be g, fînd the current between tihe eiectrodes when iheir poieutiai difference is AU.
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Respected sir, all parts please
Transcribed Image Text:FOUNDATIONS OF ELECTROMAGNETIC THEORY (REITZ)
TOPIC: ELECTRIC CURRENT
Solve step by step using the theory of the book
7-11. Two cylindrical copper electrodes of radius a are oriented normal to
a silicon disk of thickness 8, and are separated axially by the distance 6. The
electrodes are embedded in the disk to the depth s; in other words, they go
completely through the disk. The lateral dimensions of the disk are large com-
pared with b, and may bc considercd infinite. Taking the conductivity of silicon
to be g, fînd the current between the eiectrodes when iheir poviential differencve
is AU.
7.11 I = ngs A/cosh- (b/2a)
ans.
Transcribed Image Text:Consider a wave in one dimension incident from the left, where V = 0, with
positive energy, momentum along the z axis of p =
along the z axis. This is reflected and transmitted at z =
becomes Vo > E + m for z > 0. The momentum of the transmitted wave is
q = V(E – Vo)² – m².
Write the general form of the reflected and transmitted waves.
VE - m? and spin up
O where the potential
0, show that the transmitted and
From the continuity of the wave at z =
reflected waves have no component with spin down, and show that the ratio
of the transmitted wave amplitude to incident wave amplitude is 2/(1 + r),
and the ratio of the transmitted current J, to the incident current J; is
4r
E + m
where
рЕ— Vo + m
Show that this is negative, and hence that the reflected current must be greater
(1 +r)2
|
than the incident current.
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