Calculate the capacitance per unit length of the cable

Click For Summary
SUMMARY

The capacitance per unit length of a coaxial cable with an inner conductor diameter of 1 mm and an outer shield diameter of 5 mm can be calculated using the formula for capacitance in coaxial cables. Assuming a dielectric constant (κ) between 3 and 5, the capacitance (C/L) is determined to fall within a specific range in nanofarads per meter (nF/m). The calculation involves determining the potential difference across the shield when a unit charge (Q) is applied to the inner conductor.

PREREQUISITES
  • Understanding of coaxial cable geometry
  • Knowledge of dielectric constants and their implications
  • Familiarity with capacitance formulas
  • Basic principles of electrostatics
NEXT STEPS
  • Study the formula for capacitance in coaxial cables: C = (2πε)/(ln(b/a))
  • Learn about the impact of dielectric materials on capacitance
  • Explore the concept of electric fields in coaxial configurations
  • Investigate practical applications of coaxial cables in telecommunications
USEFUL FOR

Electrical engineering students, professionals working with coaxial cables, and anyone involved in telecommunications or circuit design will benefit from this discussion.

ndoc
Messages
11
Reaction score
0

Homework Statement


The coaxial cable from a television or other device has an inner conductor with diameter of 1 mm and the shield of diameter 5 mm. Assume a plausible value for the dielectric constant (3 ≤ κ ≤ 5) of the dielectric separating the two conductors and calculate the capacitance per unit length of the cable.


Homework Equations


?


The Attempt at a Solution


I am really unsure of how to even start this problem. The answer they are looking for is a range ____ nF/m <= C/L <= _____ nF/m. Thanks in advance!
 
Physics news on Phys.org
Start by assuming that one unit length of the cable has a charge Q. What would be the potential difference across the shield?
 

Similar threads

Capacitance per length unit of coaxial cable
  • · Replies 1 ·
Replies
1
Views
2K
Finding capacitance per unit length
  • · Replies 1 ·
Replies
1
Views
5K
Capacitance per unit length - two cylindrical conductors
  • · Replies 1 ·
Replies
1
Views
2K
No mass for mass per unit length
  • · Replies 1 ·
Replies
1
Views
3K
Coaxial cable conductors with dielectric: polarization of charge
  • · Replies 10 ·
Replies
10
Views
2K
Capacitance per unit length help
  • · Replies 2 ·
Replies
2
Views
6K
Inductance per unit length of coaxial transmission line
  • · Replies 3 ·
Replies
3
Views
15K
Capacitance of Coaxial Cable Configuration with Multiple Conductors
  • · Replies 1 ·
Replies
1
Views
4K
Length of coaxial cable, based on signal reflection
  • · Replies 4 ·
Replies
4
Views
3K
Sound & Music - Mass per unit length
  • · Replies 11 ·
Replies
11
Views
2K