Network Theorems in Current Electricity

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本门课程《电流电学中的网络定理》主要介绍了电流在导体中传导的基本原理。课程从电场力驱动自由电子产生漂移速度,从而形成电流和电流密度入手,解释了欧姆定律、电阻率和电导率等概念,并强调它们与载流子浓度梯度的关系。 课程还深入探讨了电流传导过程中的重要规律,包括基于电荷守恒的连续性方程和电动力学边界条件。 在复杂的双边电网络分析方面,课程重点讲解了基尔霍夫电压定律和电流定律。基于这两大定律,课程进一步阐述了多种基础网络定理,如最大功率传输定理、互易定理和叠加定理,并应用于不平衡惠斯通电桥的分析。此外,课程还提到了卡尔达尔法增强不平衡电桥的灵敏度。 课程的另一核心内容是戴维南定理和诺顿定理,它们能够将复杂的网络简化为等效的电压源或电流源电路,极大地简化了电路分析。最后,课程还介绍了星形-三角形(Star-Delta)转换方法,该方法借鉴了等效T型和π型网络的特点,为网络分析提供了另一种有效的工具。

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For electrical conduction through a conducting medium, the current flow is made through out the medium under certain potential drop applied across it. Basically here in this case, when external applied field, the quasi free electrons inside that conducting medium will experience an accelerating force in a certain direction and as a result, they will become accelerated and possess a certain drift velocity when estimated theoretically over the duration of relaxation time. This drift motion of conduction electron is the basis of electrical conduction within a conductor. This gives current flow and hence current density inside that medium for the flow of charge in unit time through unit cross section inside the conducting medium. The current flow is then will be restricted by the resistance of the medium by obeying Ohm's law and in that case the electrical conductivity of the medium will be successfully defined. This electrical conductivity and hence the reciprocal of it i.e. the resistivity of the medium will be taken as the characteristics features of that medium and they will extremely depend on the carrier concentration gradient of the medium. This current flow inside the conductor at the time of electrical conduction will also become guided by equation of continuity which is based on the conservation of charge and that will be restricted by certain boundary conditions of electrodynamics. The flow of current in any complicated bilateral electrical network can primarily be analyzed by Kirchhoff's current law and voltage law, and these laws on the basis of charge and energy conservation can also be applied to several basic network theorem like Maximum Power Transfer Theorem, Reciprocity Theorem of electrodynamics, Superposition theorem etc. and they can also be applied to unbalanced Wheatstone bridge. Again the sensitivity of such unbalanced Wheatstone bridge can be enhanced by Calendar's method. In this context regarding network analysis in electrodynamics, another two significant theorems are Thevenin's theorem and Norton's theorem where in each theorem, any complicated network can simply be replaced by equivalent simple circuit with the successful use of equivalent voltage source and current source respectively across the output load of the original network. Last of all, the other way for network analysis in basic level, the star - delta conversion is needed and the idea is taken from the features of equivalent T section network and pi section network respectively.

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