ohmescher Widerstand ZR ＝ R kapazitiver Widerstand / Leitwert 1 ZC ＝ ――― 1i ⋅ ω ⋅ C induktiver Widerstand ZL ＝ 1i ⋅ ω ⋅ L Reihenschaltung / Leitwert Z ＝ ZR + ZL 1 Y＝― Z Parallelschaltung Yges ＝ Y + YC 1 Zges ＝ ―― Yges 1 YC ＝ ―― ZC 1 Zges ＝ ――――――― 1 ――――+ C ⋅ ω ⋅ 1i R + L ⋅ ω ⋅ 1i R + L ⋅ ω ⋅ 1i Zges ＝ ―――――――― 1 − C ⋅ L ⋅ ω 2 + C ⋅ R ⋅ ω ⋅ 1i konjugiert komplex erweitern a + 1i ⋅ b 1 − c + 1i ⋅ d a − a ⋅ c − b ⋅ d + 1i ⋅ b ((1 − c + d ⋅ a)) Zges ＝ ――――⋅ ―――― ＝ ―――――――――― 1 − c − 1i ⋅ d 1 − c + 1i ⋅ d c2 − 2 ⋅ c + d2 + 1 a−a⋅c−b⋅d Re ⎛⎝Zges⎞⎠ ＝ ―――――― c2 − 2 ⋅ c + d2 + 1 1i ⋅ b ((1 − c + d ⋅ a)) Im ⎛⎝Zges⎞⎠ ＝ ―――――― c2 − 2 ⋅ c + d2 + 1
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