Howtosignalprocessing
- What happens when 2 sine waves are added?
- How do you add two sine equations?
- How do you add two sine waves with different frequencies?
What happens when 2 sine waves are added?
Two sine waves travelling in opposite directions create a standing wave. This wave is no longer a travelling wave because the position and time dependence have been separated.
How do you add two sine equations?
cosφ = sinφ tanφ= ( E20 sin δ Eθ0 )(E10 + E20 cosδ E20 sin δ ) = E10 + E20 cosδ Eθ0 , which completes the derivation. As a check, consider the case of equal amplitudes, E10 = E20 ≡ E0. Then, using the above results, Eθ0 = √2E0(1 + cosδ) . (1 + cosδ), we end up with: Eθ0 = 2E0| cos(δ/2)| .
How do you add two sine waves with different frequencies?
You can't add two sines of different frequencies. This is a fundamental limit which much of math and physics takes advantage of. Its also the basis of the fourier transform. To put it simply, sines of different frequencies are orthogonal.
