infinite plane source

简明释义

无限平面源

英英释义

例句

1.In fluid dynamics, the flow around an infinite plane source helps to understand potential flow patterns.

在流体动力学中，围绕无限平面源的流动有助于理解潜在流动模式。

2.The concept of an infinite plane source is useful in simplifying the mathematical modeling of wave propagation.

无限平面源的概念在简化波传播的数学建模中非常有用。

3.The sound waves from an infinite plane source can be considered uniform across a large area.

来自无限平面源的声波可以被认为在大面积上是均匀的。

4.In electromagnetic theory, we often model a large antenna as an infinite plane source to simplify calculations.

在电磁理论中，我们常常将大型天线建模为一个无限平面源以简化计算。

5.When analyzing the heat distribution, we can assume the heater acts as an infinite plane source of heat.

在分析热分布时，我们可以假设加热器作为一个无限平面源。

作文

In physics, the concept of an infinite plane source refers to a theoretical model used to simplify the analysis of various phenomena, particularly in the fields of electromagnetism and acoustics. An infinite plane source is imagined as an idealized surface that extends infinitely in two dimensions and emits waves uniformly in all directions. This model is particularly useful when considering wave propagation in environments where boundaries or edges complicate the analysis. By assuming that the source is infinite, we can ignore edge effects and focus on the behavior of waves in the central region. One of the most common applications of the infinite plane source model is in the study of sound waves. When a loudspeaker emits sound, it can be approximated as an infinite plane source when the distance from the speaker is large enough. In this scenario, the sound waves can be treated as planar waves, which simplifies calculations related to intensity and pressure levels. This approximation allows engineers to design audio systems more effectively by understanding how sound propagates in a given space. Similarly, in the field of electromagnetism, the infinite plane source is used to analyze electric fields generated by charged surfaces. For instance, an infinite sheet of charge can be modeled as an infinite plane source, allowing physicists to derive expressions for the electric field at various points in space. This simplification leads to the conclusion that the electric field produced by such a source is uniform and directed perpendicular to the surface, which is a crucial insight for understanding capacitor behavior and other electrical components. The mathematical treatment of an infinite plane source often involves using cylindrical or spherical coordinates, depending on the context. The resulting equations are typically simpler than those derived from finite sources, making them easier to solve. However, it is essential to remember that while the infinite plane source is a powerful tool, it is an approximation. In real-world applications, factors such as the finite size of the source, environmental obstacles, and material properties must be considered for accurate predictions. In summary, the infinite plane source serves as a valuable conceptual tool in physics and engineering. It allows us to simplify complex problems involving wave propagation and electric fields, leading to a better understanding of fundamental principles. While it is crucial to recognize its limitations, the insights gained from this model can significantly enhance our ability to design and analyze systems across various scientific disciplines. Therefore, mastering the concept of the infinite plane source is essential for students and professionals working in fields related to physics and engineering.

在物理学中，无限平面源的概念指的是一种理论模型，用于简化各种现象的分析，特别是在电磁学和声学领域。无限平面源被想象成一个在两个维度上无限延伸的理想化表面，均匀地向所有方向发射波。这种模型在考虑波传播的环境中尤其有用，因为边界或边缘会使分析变得复杂。通过假设源是无限的，我们可以忽略边缘效应，专注于波在中心区域的行为。无限平面源模型最常见的应用之一是在声波研究中。当扬声器发出声音时，当距离扬声器足够远时，可以将其近似为无限平面源。在这种情况下，声波可以视为平面波，这简化了与强度和压力水平相关的计算。这种近似使工程师能够更有效地设计音频系统，通过理解声音在特定空间中的传播方式。同样，在电磁学领域，无限平面源用于分析由带电表面产生的电场。例如，无限电荷片可以建模为无限平面源，使物理学家能够推导出在空间不同点的电场表达式。这种简化得出的结论是，由这样的源产生的电场是均匀的，并且垂直于表面，这对于理解电容器行为和其他电气元件至关重要。对无限平面源的数学处理通常涉及使用圆柱坐标或球坐标，具体取决于上下文。结果方程通常比从有限源推导的方程简单，使其更易于解决。然而，必须记住，虽然无限平面源是一个强大的工具，但它是一个近似值。在实际应用中，必须考虑源的有限大小、环境障碍和材料特性等因素，以便进行准确的预测。总之，无限平面源作为物理学和工程学中的一个有价值的概念工具。它使我们能够简化涉及波传播和电场的复杂问题，从而更好地理解基本原理。尽管认识到其局限性至关重要，但从该模型中获得的见解可以显著增强我们在各个科学学科中设计和分析系统的能力。因此，掌握无限平面源的概念对于在与物理和工程相关的领域工作的学生和专业人员来说是必不可少的。