# 基尔霍夫电路定律 - Kirchhoff's Circuit Laws

KCL、KVL和欧姆定律的交互式可视化，包含实时电路分析

> 标准页面: https://elysiatools.com/zh/visualizations/kirchhoff-circuit-laws

- **分类:** Physics

## 概述

Interactive visualization of Kirchhoff's circuit laws (KCL and KVL) with real-time circuit analysis and calculation. Features Kirchhoff's Current Law (KCL): ΣI_in = ΣI_out, Kirchhoff's Voltage Law (KVL): ΣV = 0, and Ohm's Law: V = IR. Real-time visualization includes: (1) Interactive circuit diagram with 2-3 nodes (A, B, C), series resistor R₁ and parallel resistors R₂, R₃, current flow arrows (I₁, I₂, I₃), voltage source, and real-time parameter displays; (2) Current distribution chart showing I₁ (total current), I₂ (branch 1), and I₃ (branch 2) with color-coded bars; (3) Power distribution chart displaying P₁ (R₁), P₂ (R₂), and P₃ (R₃) consumption; (4) Voltage drops section showing individual voltage drops across each resistor; (5) Law verification panel with KCL equation (I₁ = I₂ + I₃) and KVL equations for both loops with real-time calculation and error checking. Adjustable parameters: voltage source V (1-24 V), series resistor R₁ (1-50 Ω), parallel resistor R₂ (1-50 Ω), and parallel resistor R₃ (1-50 Ω). Quick presets: Balanced Circuit (R₂ = R₃), High R₁, High R₂, Low Voltage, and Custom Parameters. Visualization options: show/hide current flow animation, voltage drops, power values, and current animation. Animation controls: Start, Pause, and Reset for current flow animation. Real-time calculations: total current I₁ = V/(R₁ + R₂||R₃), branch currents using current divider rule, voltage drops across each resistor, and power consumption P = VI = I²R. Educational content covers KCL (current conservation at nodes), KVL (voltage conservation around loops), Ohm's law applications, parallel resistance calculation (1/R_parallel = 1/R₂ + 1/R₃), power calculation methods, and problem-solving strategies for circuit analysis. Historical context covers Gustav Kirchhoff (1824-1887) and the development of circuit analysis fundamentals. Multi-language support (zh, en, fr, de, es, pt, ru).

## 相关内容

- [零级反应 - Zero-Order Reaction](https://elysiatools.com/zh/visualizations/zero-order-reaction): 零级反应动力学和浓度随时间变化的交互式可视化
- [一级反应 - First-Order Reaction](https://elysiatools.com/zh/visualizations/first-order-reaction): 一级反应动力学和指数浓度衰减的交互式可视化
- [二级反应 - Second-Order Reaction](https://elysiatools.com/zh/visualizations/second-order-reaction): 二级反应动力学和双分子碰撞动力学的交互式可视化
- [阿伦尼乌斯方程 - Arrhenius Equation](https://elysiatools.com/zh/visualizations/arrhenius-equation): 温度对反应速率影响的交互式可视化 - 探索活化能、指数因子和速率常数的关系
- [可逆反应 - Reversible Reaction](https://elysiatools.com/zh/visualizations/reversible-reaction): A ⇌ B 可逆反应动力学的交互式可视化 - 探索正逆反应速率、平衡常数和浓度随时间的变化
- [连续反应 - Consecutive Reaction](https://elysiatools.com/zh/visualizations/consecutive-reaction): A → B → C 连续反应动力学的交互式可视化 - 探索中间物浓度峰值、决速步和所有物种的完整演化
- [链式反应 - Chain Reaction](https://elysiatools.com/zh/visualizations/chain-reaction): 自由基链式反应聚合的交互式可视化 - 探索引发、增长、终止步骤，链增长动画和分子量分布
- [勒夏特列原理 - Le Chatelier's Principle](https://elysiatools.com/zh/visualizations/le-chateliers-principle): 勒夏特列原理的交互式可视化 - 探索浓度、压强和温度变化如何影响化学平衡，配合分子动力学动画展示平衡移动过程