🎵 Sine Wave Generator
📌 Understanding Sine Waves
A sine wave is a smooth, periodic oscillation that can be represented by the function:
y = A sin(2πft + φ)
- **A** is the amplitude, determining the peak value of the wave.
- **f** is the frequency, representing the number of cycles per second.
- **φ** is the phase shift, controlling the horizontal displacement.
📌 Examples of Sine Waves
| Amplitude (A) | Frequency (Hz) | Phase Shift (°) |
|---|---|---|
| 1 | 2 | 0 |
| 2 | 5 | 45 |
| 0.5 | 10 | 90 |
❓ FAQs
Q1: What is a sine wave?
✅ A sine wave is a continuous oscillating function that represents smooth periodic motion, commonly found in sound and AC electrical signals.
Q2: What does frequency represent in a sine wave?
✅ Frequency measures the number of complete wave cycles per second, expressed in Hertz (Hz).
Q3: How does amplitude affect a sine wave?
✅ The amplitude controls the peak height of the wave, affecting the signal strength in sound or voltage.
Q4: What happens if the phase shift is 90 degrees?
✅ A phase shift of 90° moves the wave forward or backward by one-quarter of its cycle.
Q5: Where are sine waves commonly used?
✅ Sine waves are widely used in physics, engineering, and electronics, including AC circuits, sound waves, and radio signals.
🔧 Practical Applications of Sine Waves
1. Electrical Engineering: Sine waves are fundamental in AC power supply and transformers, ensuring efficient transmission of electricity.
2. Audio Processing: Sound engineers use sine waves to analyze frequencies and generate pure tones for audio testing and music production.
3. Communication Systems: Radio and wireless transmission rely on sine waves for modulating signals in AM/FM and digital communication.