What is the relationship between skin depth and AC resistance?

Click For Summary
SUMMARY

The relationship between skin depth and AC resistance is clarified with specific calculations. The correct area for resistance calculations is A=20/10^6 m², and the accurate skin depth at 500 kHz is δ500kHz=0.0894 mm, derived from the formula 2*√(1/500). The previous assumption of using 0.2*√(1/500) was incorrect. This discussion emphasizes the importance of precise measurements in electrical engineering calculations.

PREREQUISITES
  • Understanding of AC resistance in electrical circuits
  • Familiarity with skin effect and skin depth concepts
  • Basic knowledge of frequency and its impact on electrical properties
  • Proficiency in using mathematical formulas for electrical calculations
NEXT STEPS
  • Research the impact of frequency on skin depth in conductors
  • Learn about the skin effect in various materials
  • Explore advanced AC resistance calculations in electrical engineering
  • Study the implications of skin depth on power transmission efficiency
USEFUL FOR

Electrical engineers, physics students, and professionals involved in designing AC circuits or studying electromagnetic properties of materials will benefit from this discussion.

Callum Plunkett
Messages
27
Reaction score
8
Homework Statement
At 1 kHz, the skin depth in copper is 2 mm. Determine the a.c. resistance
at 500 kHz and at 10 MHz of 20 cm lengths of copper conductors having
the following cross sections:
(a) round section 20 mm2
(b) square section 20 mm2
(c) rectangular section 1 mm × 20 mm
Take the conductivity of copper as 5.8 × 107 Sm–1
Relevant Equations
Rac=0.25(1+D/s)Rdc
Untitled.png
 
Physics news on Phys.org
Rdc is not correct. Take A=20/10^6 m^2 [in sqr.m not in sqr.mm]
and δ500kHz=0.0894 mm [2*√(1/500)] not 0.2*√(1/500)
 
Last edited:
Thank you for the help! much appreciated.
 

Similar threads

Skin depth of multilayered (2-layer) wire
  • · Replies 9 ·
Replies
9
Views
2K
Submarine communications and RF skin depth
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Is London depth in superconductors analogous to skin depth?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad What causes skin effect in AC currents?
  • · Replies 2 ·
Replies
2
Views
2K
Is the skin depth of tarnished silver any different than untarnished?
  • · Replies 6 ·
Replies
6
Views
2K
Skin effect-skin depth-good conductors
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Understanding Skin Depth in DC and AC Fields: Confusion and Clarification
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad What is meant by "low frequencies"? (EM skin depth question)
  • · Replies 3 ·
Replies
3
Views
2K
Optimal Laser Wavelength and Power for Insect Elimination on Skin Without Harm
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Does the Skin Effect cause charge to accumulate on the surface of a conductor?
  • · Replies 36 ·
2
Replies
36
Views
3K