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Wave Superposition
Wave Superposition
Add waves to see interference and beats
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Wave 1
Amplitude (A)
Frequency (f) (Hz)
Phase (φ) (°)
Wave 2
Amplitude (A)
Frequency (f) (Hz)
Phase (φ) (°)
y(t) = A·sin(2πf·t + φ), y = y₁ + y₂
Pattern
Beats (different frequencies)
Phase difference Δφ
0°
Beat frequency
1 Hz
Beat period
1 s
Carrier frequency
5.5 Hz
Envelope maximum
2
Envelope minimum
0
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Time plot of two different-frequency sine waves (faint) and their sum (bold), with a dashed envelope that swells and fades at the beat frequency.
Time plot of two different-frequency sine waves (faint) and their sum (bold), with a dashed envelope that swells and fades at the beat frequency.
t (s)
y
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
-2
-1
1
2
Wave 1
Wave 2
Sum
Envelope
