Find the skin depth, $ d $, at a frequency of 1.6 MHz in aluminum, where $\sigma = 38.2 \, \text{S/m}$ and $\mu = 1$.

Also, find the wave velocity, $ U $.

Question

07-04-2024
Physics

College

Thank you for visiting Find the skin depth d at a frequency of 1 6 MHz in aluminum where sigma 38 2 text S m and mu 1 Also. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

Find the skin depth, $ d $, at a frequency of 1.6 MHz in aluminum, where $\sigma = 38.2 \, \text{S/m}$ and $\mu = 1$.

Also, find the wave velocity, $ U $.

Answer :

Other Questions

In the state of Florida, a first conviction for DUI can result

Heat is measured in: A. g/cm$^3$ B. degrees Celsius C. degrees Celsius

A store is offering a 20% discount on all sales over $50.

What are the earliest roots of modern musical notation?

Software Instruction: A hybrid course contains both online and classroom instruction. In

A food handler put labeled, ready-to-eat food under raw hamburger patties in

Use to fine-tune forecasts and achieve a higher level of accuracy. A.

In the United States, which of the following categories requires the greatest

The probability that Sergeant Mendez hits his target each time he shoots

A yard is equal in length to three feet. The function [tex]f(x)[/tex]

How long can ready-to-eat TCS food be stored at 41 degrees or

What is the process for breaking down a text or passage, line

What is the biggest disadvantage of copying a worksheet into another workbook?

What is a cross-connection? A. A pressure gauge on a high-temperature warewashing

Determine the highest common factor of 330 and 396 using prime factorization.

sreeragmenon sreeragmenon · Answer 1 · 2025-04-20T19:33:14-04:00

Final answer:

The skin depth, d, at a frequency of 1.6 MHz in aluminum is approximately 6.58 μm and the phase velocity, U, is about 6.2 m/s.

Explanation:

The concept applied here is that of Electromagnetic theory in Physics. To find the skin depth, the formula d = sqrt(2/(ωμσ)) is employed

where ω = 2π*f (frequency), μ is the permeabilty and σ is the conductivity. With your values, the frequency, f, is 1.6 MHz, so ω = 2*π*1.6*10^6, and μ = 1, and σ = 38.2 mho/m.

For wave velocity, U (also termed as the phase velocity), the formula used is U = ω/k where k (wave number) is equal to ω/√(μσ). After calculating ω and k, the value of U can be found by simply dividing ω by k.

Example Calculation

Let's plug in and calculate:

First, ω = 2π*frequency = 2π*1.6*10^6 = 10.05*10^6 rad/sec
Second, by placing the values in the formula of d, we get d = sqrt( 2 / (10.05*10^6 * 1 * 38.2) ) = 6.58*10^-6 m = 6.58 μm.
For wave velocity, first compute k = ω/√(μσ) = (10.05*10^6) / √(1 * 38.2) = 1.62*10^6 m^-1
Finally, U = ω/k = (10.05*10^6) / (1.62*10^6) = 6.2 m/s

In conclusion, the skin depth, d, at a frequency of 1.6 MHz in aluminum is approximately 6.58 μm and the phase velocity, U, is about 6.2 m/s.

Learn more about Electromagnetic Theory here:

https://brainly.com/question/32844774

#SPJ11

Find the skin depth, \( d \), at a frequency of 1.6 MHz in aluminum, where \(\sigma = 38.2 \, \text{S/m}\) and \(\mu = 1\).Also, find the wave velocity, \( U \).