# 串联/并联电路

串联和并联电路的交互式可视化，包含实时分析

> 标准页面: https://elysiatools.com/zh/visualizations/series-parallel-circuits

- **分类:** Physics

## 概述

Interactive visualization of series and parallel circuits with two resistors, featuring dual-mode switching between series and parallel configurations. Real-time visualization includes: (1) Circuit diagram showing series circuit (resistors R₁ and R₂ connected end-to-end) or parallel circuit (resistors R₁ and R₂ connected across same two points), with voltage source, current flow arrows, animated current flow, and real-time parameter displays; (2) Component data panel showing individual resistor data: voltage across each resistor (V₁, V₂), current through each resistor (I₁, I₂), and power dissipated by each resistor (P₁, P₂); (3) Current distribution chart with color-coded bars comparing I₁ (R₁) and I₂ (R₂); (4) Power distribution chart displaying P₁ (R₁) and P₂ (R₂) consumption; (5) Applicable formulas panel updating based on circuit mode (series or parallel). Key formulas: Series - R_total = R₁ + R₂, I_total = V/R_total, I₁ = I₂ = I_total, V₁ = I×R₁, V₂ = I×R₂, P = I²R; Parallel - 1/R_total = 1/R₁ + 1/R₂ or R_total = (R₁×R₂)/(R₁+R₂), V₁ = V₂ = V_source, I₁ = V/R₁, I₂ = V/R₂, I_total = I₁ + I₂, P = V²/R. Adjustable parameters: voltage source V (1-24 V), resistor R₁ (1-100 Ω), and resistor R₂ (1-100 Ω). Quick presets: Equal Resistors, High R₁, High R₂, Low Voltage, and High Voltage. Visualization options: show/hide current flow animation, values on circuit, and current flow animation. Animation controls: Start, Pause, and Reset. Educational content covers series circuits (same current, voltage division), parallel circuits (same voltage, current division), key differences between configurations, real-world applications (household wiring, string lights, battery configurations, automotive systems), and problem-solving strategies. Comparison highlights: Series has same current throughout and divides voltage; parallel has same voltage across components and divides current. Series increases total resistance; parallel decreases total resistance. Parallel circuits are more reliable as one component failure doesn't affect others. Multi-language support (en, fr, de, es, pt, ru, zh).

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