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# 物理代写|连续时间信号和系统代写Continuous Time Signals and Systems代考|TSTE93 Electrical circuit

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## 物理代写|连续时间信号和系统代写Continuous Time Signals and Systems代考|Electrical circuit

Figure $2.3$ shows a simple electrical circuit comprising of three components: a resistor $R$, an inductor $L$, and a capacitor $C$. A voltage signal $v(t)$, applied at the input of the circuit, produces an output signal $y(t)$ representing the voltage across capacitor $C$. In order to derive a relationship between the input and output signals in the RLC circuit, we make use of the Kirchhoff’s current law, which states “The sum of the currents flowing into a node equals the sum of the currents flowing out of the node.”

We apply Kirchhoff’s current law to node 1, shown in the top branch of the RLC circuit in Fig. 2.3. The equations for the currents flowing out of node 1 along resistor $R$, inductor $L$, and capacitor $C$, are given by
$$\begin{array}{lc} \text { resistor } R & i_R=\frac{y(t)-v(t)}{R} \ \text { inductor } L & i_L=\frac{1}{L} \int_{-\infty}^t y(\tau) \mathrm{d} \tau \ \text { capacitor } C & i_C=C \frac{\mathrm{d} y}{\mathrm{~d} t} . \end{array}$$

## 物理代写|连续时间信号和系统代写Continuous Time Signals and Systems代考|Semiconductor diode

When a piece of an intrinsic semiconductor (silicon or germanium) is doped such that half of the piece is of $n$ type while the other half is of $p$ type, a $p n$ junction is formed. Figure 2.4(a) shows a pn junction with a voltage $v$ applied across its terminals. The $p n$ junction forms a basic diode, which is fundamental to the operation of all solid state devices. The symbol for a semiconductor diode is shown in Fig. 2.4(b). A diode operates under one of the two bias conditions. It is said to be forward biased when the positive polarity of the voltage source $v$ is connected to the $p$ region of the diode and the negative polarity of the voltage source $v$ is connected to the $n$ region. Under the forward bias condition, the diode allows a relatively strong current $i$ to flow across the $p n$ junction according to the following relationship:
$$i=I_{\mathrm{s}}\left[\exp \left(v / V_T\right)-1\right]$$
where $I_{\mathrm{s}}$ denotes the reverse saturation current, which for a silicon doped diode is a constant given by $I_{\mathrm{s}}=4.2 \times 10^{-15} \mathrm{~A}$, and $V_T$ is the voltage equivalent of the diode’s temperature. The voltage equivalent $V_T$ is given by
$$V_T=\frac{k T}{e}$$

## 物理代写|连续时间信号和系统代写 CONTINUOUS TIME SIGNALS AND SYSTEMS代考|ELECTRICAL CIRCUIT

n.

resistor $R \quad i_R=\frac{y(t)-v(t)}{R}$ inductor $L \quad i_L=\frac{1}{L} \int_{-\infty}^t y(\tau) \mathrm{d} \tau$ capacitor $C \quad i_C=C \frac{\mathrm{d} y}{\mathrm{~d} t}$.

## 物理代写|连续时间信号和系统代写CONTINUOUS TIME SIGNALS AND SYSTEMS代考|SEMICONDUCTOR DIODE

$$i=I_{\mathrm{s}}\left[\exp \left(v / V_T\right)-1\right]$$

$$V_T=\frac{k T}{e}$$

## 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。