Question

Find the ratio of skin depth in copper at 1 khz to 100 mhz

Answer 1

Ans =

Skin depth= 6.5196

Answer 2

Answer:

Ratio of skin depth in copper at 1 khz to 100 mhz is 316

Explanation:

• The skin effect is a phenomenon in which alternating electric current does not flow uniformly across a conductive device, such as a wire. The current density is greatest at the conductor's surface and falls exponentially with increasing distance from the surface.
• The term "skin depth" refers to the point at which the current density reaches about 37% of its value at the conductor's surface. The frequency of the AC signal, as well as the resistivity and relative permeability of the conductive material, are required to calculate skin depth. Simply enter the signal frequency and the material type to utilise this calculator. The resistivity and relative permeability of the selected material will be calculated automatically.

Skin depth δ is given by formula

$\delta= \sqrt{\frac {\rho}{\pi f \mu}}--- (1)$

where ρ is the resistivity of material, f is the frequency, μ is the permeability

Using (1) we got:

$\frac {\delta_1}{\delta_2}=\sqrt{\frac {f_2}{f_1}} ---(2)$

The following table shows how the skin depth varies with some example conductor materials (pure copper and pure aluminum) for typical pulsed power and power conditioning frequencies in the range of 1 kHz to 1 GHz.

In this case, we have

$\frac {\delta_1}{\delta_2}=316$

the ratio of skin depth in copper at 1 khz to 100 mhz is 316

Reference Link

• https://brainly.in/question/20828449
• https://brainly.in/question/12140357