Sympy-exact witness of the RC low-pass limiting magnitudes. Setup: |H(ω)|² = 1/(1 + (ω·R·C)²) as a three-symbol rational function. Identity 1 (DC, ω=0): |H|² = 1/(1+0) = 1 — DC is passed unattenuated (lossless passive filter). Identity…
Sympy-exact witness of the RC low-pass limiting magnitudes. Setup: |H(ω)|² = 1/(1 + (ω·R·C)²) as a three-symbol rational function. Identity 1 (DC, ω=0): |H|² = 1/(1+0) = 1 — DC is passed unattenuated (lossless passive filter). Identity…