RLC 串联: R=100Ω, L=0.1H, C=10µF @ f=50 Hz → G≈0.0011 S, B≈0.0031 S Z=100−j286.89Ω(|Z|=303.82Ω)。Y=1/Z=0.0011+j0.0031 S。B 为正说明整体呈容性。{"result":"RLC admittance (series), f=50 Hz. R=100 Ω, L=0.1 H, C=0.00001 F. X_L = 31.4159 Ω, X_C = 318.3099 Ω. Z = 100 − j286.894 Ω (|Z|=303.8226, φ_Z=-70.7834°). Y = 1/Z = 0.0011 + j0.0031 S (|Y|=0.0033 S, φ_Y=70.7834°).","metadata":{"input":{"topology":"series","R":100,"L":0.1,"C":0.00001,"frequency":50},"result":{"frequency_Hz":50,"Z_real":100,"Z_imag":-286.894,"Z_magnitude":303.8226,"Z_phase_deg":-70.7834,"admittance_real_S":0.0011,"admittance_imag_S":0.0031,"admittance_magnitude_S":0.0033,"admittance_phase_deg":70.7834,"X_L":31.4159,"X_C":318.3099,"topology":"series"}}}
RLC 并联: R=100Ω, L=0.05H, C=100µF @ f=100 Hz → Y=0.01+j0.031 S 并联导纳直接求和:Y=1/R+1/(jX_L)+1/(−jX_C)。f=100 Hz:X_L=31.42Ω,X_C=15.92Ω。{"result":"RLC admittance (parallel), f=100 Hz. R=100 Ω, L=0.05 H, C=0.0001 F. X_L = 31.4159 Ω, X_C = 15.9155 Ω. Z = 9.4246 − j29.2171 Ω (|Z|=30.6995, φ_Z=-72.1218°). Y = 1/Z = 0.01 + j0.031 S (|Y|=0.0326 S, φ_Y=72.1218°).","metadata":{"input":{"topology":"parallel","R":100,"L":0.05,"C":0.0001,"frequency":100},"result":{"frequency_Hz":100,"Z_real":9.4246,"Z_imag":-29.2171,"Z_magnitude":30.6995,"Z_phase_deg":-72.1218,"admittance_real_S":0.01,"admittance_imag_S":0.031,"admittance_magnitude_S":0.0326,"admittance_phase_deg":72.1218,"X_L":31.4159,"X_C":15.9155,"topology":"parallel"}}}