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.
Related questions
Question
Respected sir, all parts please
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf98745c-1fff-48cc-a7b8-763c887afa6b%2F9674e722-b149-462a-b359-b8a06bb971a7%2Fnz4u9bu_processed.png&w=3840&q=75)
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.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf98745c-1fff-48cc-a7b8-763c887afa6b%2F9674e722-b149-462a-b359-b8a06bb971a7%2F4aqco4o_processed.png&w=3840&q=75)
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.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 7 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)