equivalent resistance

简明释义

等效电阻

英英释义

例句

1.The equivalent resistance 等效电阻 of this circuit is crucial for determining how much power it can handle.

这个电路的等效电阻对于确定它能承受多少功率至关重要。

2.To find the total current in the circuit, we first need to calculate the equivalent resistance 等效电阻 of the resistors in series.

要找到电路中的总电流，我们首先需要计算串联电阻的等效电阻。

3.By simplifying the circuit step by step, we can find the equivalent resistance 等效电阻 more easily.

通过逐步简化电路，我们可以更容易地找到等效电阻。

4.In a parallel circuit, the formula for finding the equivalent resistance 等效电阻 is different from that in a series circuit.

在并联电路中，找到等效电阻的公式与串联电路不同。

5.When two resistors are connected in parallel, their equivalent resistance 等效电阻 can be calculated using the reciprocal formula.

当两个电阻并联连接时，它们的等效电阻可以使用倒数公式进行计算。

作文

In the study of electrical circuits, one of the fundamental concepts is that of equivalent resistance. This term refers to the total resistance that a circuit presents to the current when multiple resistors are connected either in series or in parallel. Understanding equivalent resistance is crucial for engineers and technicians as it allows them to simplify complex circuits into a single resistor value, making calculations easier and more efficient.When resistors are connected in series, the equivalent resistance is simply the sum of the individual resistances. For example, if three resistors with values of 2 ohms, 3 ohms, and 5 ohms are connected in series, the equivalent resistance can be calculated as follows:R_eq = R1 + R2 + R3 = 2Ω + 3Ω + 5Ω = 10Ω.This straightforward approach highlights the additive nature of resistance in series configurations. Each resistor contributes to the total resistance, which affects the overall current flowing through the circuit according to Ohm's law.On the other hand, when resistors are connected in parallel, the calculation of equivalent resistance is slightly more complex. The formula used is:1/R_eq = 1/R1 + 1/R2 + 1/R3.This means that the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of each individual resistance. For instance, if we take two resistors of 4 ohms and 6 ohms connected in parallel, the equivalent resistance would be calculated as:1/R_eq = 1/4Ω + 1/6Ω = 3/12 + 2/12 = 5/12,which gives us R_eq = 12/5 = 2.4Ω.The significance of understanding equivalent resistance lies in its application in real-world scenarios. For instance, in designing electrical circuits for homes or electronic devices, engineers need to ensure that the total resistance does not exceed certain limits to prevent overheating and damage. By calculating the equivalent resistance, they can select appropriate resistor values and configurations that meet safety standards and performance requirements.Furthermore, the concept of equivalent resistance also plays a vital role in analyzing complex circuits using techniques such as Thevenin's and Norton's theorems. These theorems allow engineers to replace a network of resistors and sources with a single equivalent resistance and voltage or current source, simplifying the analysis significantly.In conclusion, the term equivalent resistance is essential in the field of electrical engineering. It provides a means to simplify complex circuit designs, ensuring that calculations are manageable and accurate. Whether resistors are arranged in series or parallel, understanding how to compute equivalent resistance enables professionals to create safe and efficient electrical systems. Mastery of this concept is not only beneficial for academic purposes but also crucial for practical applications in everyday technology.

在电路研究中，‘等效电阻’是一个基本概念。这个术语指的是当多个电阻器以串联或并联方式连接时，电路对电流呈现的总电阻。理解‘等效电阻’对工程师和技术人员至关重要，因为它使他们能够将复杂电路简化为单个电阻值，从而使计算变得更简单、更高效。当电阻器串联连接时，‘等效电阻’就是各个电阻之和。例如，如果三个电阻的值分别为2欧姆、3欧姆和5欧姆串联连接，则可以按如下方式计算‘等效电阻’：R_eq = R1 + R2 + R3 = 2Ω + 3Ω + 5Ω = 10Ω。这种简单的方法突出了串联配置中电阻的加法特性。每个电阻都对总电阻产生影响，这会根据欧姆定律影响电路中流动的总电流。另一方面，当电阻器并联连接时，‘等效电阻’的计算稍微复杂一些。使用的公式是：1/R_eq = 1/R1 + 1/R2 + 1/R3。这意味着‘等效电阻’的倒数等于每个单独电阻倒数的总和。例如，如果我们取两个并联连接的电阻，分别为4欧姆和6欧姆，则‘等效电阻’的计算如下：1/R_eq = 1/4Ω + 1/6Ω = 3/12 + 2/12 = 5/12，这给我们带来了R_eq = 12/5 = 2.4Ω。理解‘等效电阻’的重要性在于其在现实场景中的应用。例如，在设计家庭或电子设备的电路时，工程师需要确保总电阻不超过某些限制，以防止过热和损坏。通过计算‘等效电阻’，他们可以选择适当的电阻值和配置，以满足安全标准和性能要求。此外，‘等效电阻’的概念在使用如泰夫宁和诺顿定理等技术分析复杂电路时也发挥着重要作用。这些定理允许工程师用单个‘等效电阻’和电压或电流源替换一组电阻器和源，从而显著简化分析。总之，‘等效电阻’这一术语在电气工程领域至关重要。它提供了一种简化复杂电路设计的方法，确保计算可管理且准确。无论电阻是以串联还是并联方式排列，理解如何计算‘等效电阻’使专业人士能够创建安全高效的电气系统。掌握这一概念不仅对学术目的有益，而且对日常技术中的实际应用至关重要。