# AC Characteristics - Interactive Visualization

Interactive visualization of AC (alternating current) and DC (direct current) characteristics with real-time waveform display

> Canonical page: https://elysiatools.com/en/visualizations/ac-characteristics

- **Category:** Physics

## Overview

Interactive visualization of AC (alternating current) and DC (direct current) electrical characteristics with real-time oscilloscope-style waveform display. Features dual waveforms: AC waveform showing sinusoidal voltage variation V(t) = V₀·sin(ωt + φ) with green phosphor oscilloscope glow, DC waveform showing constant voltage V(t) = V₀ as horizontal line. Physics equations: V(t) = V₀·sin(ωt + φ) (AC voltage), ω = 2πf (angular frequency), V_rms = V₀/√2 ≈ 0.707·V₀ (RMS voltage), T = 1/f (period). Real-time parameter calculations: Peak voltage V₀ (10-500V adjustable), RMS voltage V_rms (automatically calculated as V₀/√2), frequency f (0.5-100Hz), period T = 1/f, angular frequency ω = 2πf, phase shift φ (0-2π). Oscilloscope display features: Dark background with grid overlay, green phosphor glow effect for waveforms, yellow dashed line indicating RMS voltage level on AC waveform, voltage scale labels (+V₀, -V₀, V_rms, 0V), smooth 60fps animation with waveform moving left to right, adjustable animation speed (0.1x-3x). Interactive controls: Peak voltage slider (10-500V, default 325V for 230V RMS), frequency slider (0.5-100Hz, default 50Hz), phase slider (0-2π rad), animation play/pause and reset buttons, animation speed control. Quick presets: China standard (50Hz, 325V peak = 230V RMS), USA standard (60Hz, 170V peak = 120V RMS), Low frequency demo (2Hz for visualization), High frequency demo (10Hz). Real-time statistics panel displaying all calculated values with live updates. Educational content: Mathematical foundation with four key formulas, AC vs DC comparison table (direction, waveform, frequency, transmission, sources), detailed explanation of RMS voltage concept and why household voltages are specified as RMS values (230V RMS in China, 120V RMS in USA), global power standards reference (China 230V/50Hz, USA 120V/60Hz, EU 230V/50Hz, Japan 100V/50-60Hz), real-world applications (household electricity transmission, electronics DC power conversion, AC motors in industry, battery charging, high-voltage transmission lines). Comparison table showing AC characteristics (periodically reversing direction, sinusoidal waveform, 50/60Hz typical, efficient long-distance transmission, power plants/generators) vs DC characteristics (constant direction, straight line, 0Hz, short-distance transmission, batteries/solar cells). Responsive design for all screen sizes with canvas auto-resizing. Multi-language support (zh, en, fr, de, es, pt, ru).

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