Solve Equation (1) to Get Equation (2): The Depletion Voltage & Electric Field

In summary, the conversation discusses the integration of equations (1) and (2), which involve the electric field, potential, and depletion voltage. The speaker suggests manipulating equation (1) to solve for equation (2), which should have a positive sign for the last term. The symbols Vd and Vo are defined as the depletion voltage and difference in potential across the junction, respectively.
  • #1
Hayool
14
0
The electric field
upload_2016-3-22_18-43-23.png
...(1)

by saying that
upload_2016-3-22_18-47-49.png
...(2)I tried to integrate equation (1) from r2 to r1 but could not get equation(2).

Any suggesting.

Thanks
 
Physics news on Phys.org
  • #2
Looks like you should be able to get (2) from (1) with just algebraic manipulation. Did you try letting ##E = 0## in (1) when ##r = r_1##and then solving for ## V##?

However, I get that (2) should have a positive sign for the last term.

Can you define the symbols ##V_d## and ##V_o## that occur in (1) and (2)?
 
  • #3
TSny said:
Looks like you should be able to get (2) from (1) with just algebraic manipulation. Did you try letting ##E = 0## in (1) when ##r = r_1##and then solving for ## V##?

However, I get that (2) should have a positive sign for the last term.

Can you define the symbols ##V_d## and ##V_o## that occur in (1) and (2)?
Thanks for your prompt respond.

Vo is the difference in potential across the junction
Vd is the depletion voltage
Also for equation (1) the second term has a positive sign.
After doing some algebra i end up with equation (2).

Thanks for the help.
 
Last edited:

1. What is the depletion voltage?

The depletion voltage is the voltage at which the electric field in a semiconductor material is strong enough to deplete all the free carriers and create a depletion region, also known as the space charge region.

2. How is the depletion voltage calculated?

The depletion voltage can be calculated using the equation Vd = qNdL^2 / 2ε, where Vd is the depletion voltage, q is the elementary charge, Nd is the donor concentration, L is the width of the semiconductor material, and ε is the permittivity of the material.

3. What is the electric field in the depletion region?

The electric field in the depletion region is a constant value that is equal to the depletion voltage divided by the width of the depletion region. This value is typically in the range of 10^5 to 10^6 V/m.

4. How does the depletion voltage affect the behavior of a semiconductor device?

The depletion voltage plays a crucial role in the operation of a semiconductor device. It controls the width of the depletion region, which in turn affects the device's capacitance, resistance, and conductivity. It also determines the threshold voltage for the device to turn on.

5. What factors can affect the depletion voltage?

The depletion voltage can be affected by various factors, such as the doping concentration, temperature, and applied external voltage. Changes in these factors can alter the width of the depletion region and thus impact the depletion voltage. Additionally, the type of semiconductor material and its properties can also influence the depletion voltage.

Similar threads

  • Advanced Physics Homework Help
Replies
1
Views
773
  • Advanced Physics Homework Help
Replies
23
Views
613
  • Advanced Physics Homework Help
Replies
17
Views
2K
  • Advanced Physics Homework Help
Replies
0
Views
558
Replies
18
Views
1K
  • Advanced Physics Homework Help
Replies
2
Views
1K
Replies
3
Views
753
  • Advanced Physics Homework Help
Replies
7
Views
1K
  • Advanced Physics Homework Help
Replies
2
Views
1K
  • Advanced Physics Homework Help
Replies
7
Views
2K
Back
Top