Capacitance per unit length help

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SUMMARY

The discussion centers on calculating the capacitance per unit length for a coaxial cable with an inner radius of 1.1 mm and an outer radius of 3.1 mm, using the formula (2πkε₀) / ln(b/a). The variable k represents the dielectric constant of polyethylene, which is essential for accurate calculations. A participant initially attempted the calculation without considering k, resulting in an incorrect value of 54.52. The correct approach involves incorporating the dielectric constant of polyethylene to achieve the correct capacitance value.

PREREQUISITES
  • Understanding of coaxial cable geometry
  • Familiarity with the formula for capacitance per unit length
  • Knowledge of dielectric materials, specifically polyethylene
  • Basic grasp of logarithmic functions
NEXT STEPS
  • Research the dielectric constant of polyethylene for accurate calculations
  • Learn how to derive capacitance formulas for different cable geometries
  • Explore the effects of dielectric materials on capacitance
  • Study logarithmic functions and their applications in electrical engineering
USEFUL FOR

Electrical engineering students, hobbyists setting up home video studios, and professionals involved in cable design and installation will benefit from this discussion.

budget76
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1. Homework Statement [/b]
You are planning to install a home video studio. A very important piece of information is missing from the specifications. You must find the capacitance per unit length for a coaxial cable. The cable has an inner radius of 1.1 {\rm mm} and an outer conductor 3.1 {\rm mm} in radius separated by polyethylene insulation that acts as a dielectric.


Homework Equations


(2pi*k*epsilon_0) / (ln(b/a))


The Attempt at a Solution



I attempted to use the above formula but do not know what k is, and found on a different website the formula without k so I attempted to use it and got 54.52, which was wrong.

thanks for any help
 
Physics news on Phys.org
Did you look up the dielectric constant of polyethylene? That's what k is.
 
I did not, I'll give it a try. Thank you
 

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