Engineering What is the relationship between skin depth and AC resistance?

Click For Summary
The discussion clarifies the calculation of AC resistance, specifically addressing the skin depth formula. It corrects the area used in the calculations, stating that A should be 20/10^6 m^2. The skin depth at 500 kHz is confirmed to be 0.0894 mm, not the previously mentioned value. Accurate calculations are crucial for understanding the relationship between skin depth and AC resistance. This highlights the importance of precise measurements in electrical engineering contexts.
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.
 

Thread 'Bending Stress and Shear Stress'

I have a question that I couldn’t fully understand its logic. The professor asked us to calculate the shear resistance and moment about the X and Y axis, using the given cross-section and the values of compressive and tensile stresses. I understand how to get the moment, but I’m confused about how to find the shear resistance from these stresses. Could you explain or clarify the method?
View full post »

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
2K
I Is London depth in superconductors analogous to skin depth?
  • · Replies 2 ·
Replies
2
Views
1K
I What causes skin effect in AC currents?
  • · Replies 2 ·
Replies
2
Views
1K
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
Understanding Skin Depth in DC and AC Fields: Confusion and Clarification
  • · Replies 2 ·
Replies
2
Views
2K
I 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
I Does the Skin Effect cause charge to accumulate on the surface of a conductor?
  • · Replies 36 ·
2
Replies
36
Views
3K