Enter the number of carrier charges and the total volume into the Calculator. The calculator will evaluate the Carrier Density. 

Carrier Density Formula

n = N/V


  • n is the Carrier Density ()
  • N is the number of carrier charges
  • V is the total volume

To calculate Carrier Density, divide the number of carrier charges by the total volume.

How to Calculate Carrier Density?

The following steps outline how to calculate the Carrier Density.

  1. First, determine the number of carrier charges. 
  2. Next, determine the total volume. 
  3. Next, gather the formula from above = n = N/V.
  4. Finally, calculate the Carrier Density.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

number of carrier charges = 5.6

total volume = 80


What is Carrier Density in physics?

Carrier density refers to the concentration of charge carriers (such as electrons or holes) in a given volume of material. It’s a crucial parameter in understanding the electrical properties of semiconductors and other conductive materials.

Why is calculating Carrier Density important?

Calculating carrier density is important for designing and understanding electronic devices, such as transistors and solar cells. It helps in predicting how well a material can conduct electricity and is crucial for optimizing the performance of electronic components.

Can Carrier Density change with temperature?

Yes, carrier density can significantly change with temperature. As temperature increases, more electrons can gain enough energy to escape from their atoms, increasing the number of free charge carriers and thus the carrier density.

How does Carrier Density affect electrical conductivity?

The electrical conductivity of a material is directly proportional to its carrier density. A higher carrier density means there are more charge carriers available to move and carry electric current, resulting in higher conductivity.