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• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 物理代写|电动力学代写electromagnetism代考|CoAXIAL Cable

Figure $3.15$ shows a cross section through a length of coaxial cable. Now, current in the inner conductor generates a magnetic field in the inner conductor, and in the dielectric between the inner and outer conductors. The outer conductor is usually earthed and effectively shields the signal on the inner conductor from any external interference. Thus, the field at the outer conductor is zero.

As we have seen in the previous section, there will be two parts to the inductance; the inductance of the inner conductor and the inductance due to the magnetic field in the dielectric. As regards the inductance of the inner conductor, the last section gave the value of
$$L_{\text {int }}=\frac{\mu_0}{8 \pi} \mathrm{H} \mathrm{m}^{-1}$$
To find the external inductance, we will follow a similar procedure to that used in the last section. Thus, the flux density at a radius $r$ in the dielectric is
$$B=\mu_0 \frac{l}{2 \pi r}$$

With this flux density, the flux through a small incremental ring of radius $r$ and thickness $\mathrm{d} r$ is
\begin{aligned} \mathrm{d} \phi &=B^{\prime} \times \mathrm{d} r \times \text { length } \ &=\frac{\mu_0 I r}{2 \pi a^2} \mathrm{~d} r \times \text { length } \end{aligned}

## 物理代写|电动力学代写electromagnetism代考|TwIN FEEDER

Figure $3.16$ shows a section through a length of twin feeder. The left-hand conductor carries a current of $I \mathrm{~A}$, while the return conductor (the right-hand one) carries a current of $-I \mathrm{~A}$. Both conductors will produce magnetic fields in the space between the wires, and so there will be two components to the flux density at any particular point.

As before, there will be two components to the inductance: the internal inductance of each conductor and the external inductance of each conductor. We have already calculated the internal inductance of a conductor. However, to find the external inductance, we need to generate an equation linking the total flux with the current in one of the conductors.

To analyze the situation, we will use the principle of superposition to find the total flux density at some point between the two wires. So, the flux density at a radius $r$ due to the current in the left-hand conductor is

The right-hand conductor generates a flux density at the same point of
$$B=\frac{\mu_0 l}{2 \pi(d-r)}$$
acting in the same direction. So, the total field at a radius of $r$ from the left-hand conductor is
$$B=\frac{\mu_0 l}{2 \pi r}+\frac{\mu_0 l}{2 \pi(d-r)}$$
Thus, the fractional flux through an incremental ring of radius $r$ and thickness $\mathrm{d} r$ is
$$\mathrm{d} \phi=\left(\frac{\mu_0 l}{2 \pi r}+\frac{\mu_0 l}{2 \pi(d-r)}\right) \mathrm{d} r \times \text { length }$$
and so the fractional inductance per unit length is
$$\mathrm{d} L^{\prime}=\left(+\frac{\mu_0 l}{2 \pi(d-r)}\right) \mathrm{d} r$$

# 电动力学代考

## 物理代写|电动力学代写electromagnetism代考|CoAXIAL Cable

$$L_{\text {int }}=\frac{\mu_0}{8 \pi} \mathrm{Hm}^{-1}$$

$$B=\mu_0 \frac{l}{2 \pi r}$$

$$\mathrm{d} \phi=B^{\prime} \times \mathrm{d} r \times \text { length } \quad=\frac{\mu_0 I r}{2 \pi a^2} \mathrm{~d} r \times \text { length }$$

## 物理代写|电动力学代写electromagnetism代考|TwIN FEEDER

$$B=\frac{\mu_0 l}{2 \pi(d-r)}$$

$$B=\frac{\mu_0 l}{2 \pi r}+\frac{\mu_0 l}{2 \pi(d-r)}$$

$$\mathrm{d} \phi=\left(\frac{\mu_0 l}{2 \pi r}+\frac{\mu_0 l}{2 \pi(d-r)}\right) \mathrm{d} r \times \text { length }$$

$$\mathrm{d} L^{\prime}=\left(+\frac{\mu_0 l}{2 \pi(d-r)}\right) \mathrm{d} r$$

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## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

assignmentutor™您的专属作业导师
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