What does the vertical line in this equation mean?

Click For Summary
SUMMARY

The vertical line in the equation \( r_{ce} = \left.\dfrac{\Delta U_{ce}}{\Delta I_c}\right|_{I_b} \) indicates that the ratio is evaluated at a constant collector current \( I_b \). This notation signifies that the derivatives are calculated for linear approximation purposes. The equation represents the dynamic emitter-collector resistance of a bipolar transistor, specifically the ratio of the change in emitter-collector voltage to the change in collector current.

PREREQUISITES
  • Understanding of bipolar transistor operation
  • Familiarity with derivatives and linear approximations
  • Knowledge of electrical engineering concepts
  • Basic grasp of circuit analysis
NEXT STEPS
  • Study the concept of dynamic resistance in bipolar transistors
  • Learn about the application of derivatives in electrical engineering
  • Research the significance of linear approximations in circuit analysis
  • Explore the relationship between voltage and current in semiconductor devices
USEFUL FOR

Electrical engineers, students studying semiconductor physics, and professionals working with bipolar transistors will benefit from this discussion.

APUGYael
Messages
41
Reaction score
1
Hey,

What does the vertical line with the "I_b" on the bottom right mean?
Link here: https://imgur.com/a/nII9g

Thanks,

-Yael
 
Mathematics news on Phys.org
I believe it means the ratio is evaluated at a constant Ib
 
It usually means "evaluated at". It indicates the point where derivatives are calculated to actually turn into a linear approximation. As there is no derivative, I assume that either ##c## is approaching ##b## or at least ##b \in I_c## and ##I_c## is closing down on ##\{b\}##.

For the record, the image reads ##r_{ce} = \left.\dfrac{\Delta U_{ce}}{\Delta I_c}\right|_{I_b}## but maybe it means something else, as it looks like a physical equation.
 
@fresh_42 I believe the equation is the dynamic emitter collector resistance for a bipolar transistor. in this case the ratio of the change in emitter collector voltage over the change in the collector current.
 
gleem said:
@fresh_42 I believe the equation is the dynamic emitter collector resistance for a bipolar transistor. in this case the ratio of the change in emitter collector voltage over the change in the collector current.
I suspected something like this. Actually I had a déjà vu as I wrote the answer, which was why I added the physical possibility. Strange thing.
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 22 ·
Replies
22
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 10 ·
Replies
10
Views
1K