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\gcd(2025, 3) = 3 - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 ### Frage 6

📌 Ein Elektroingenieur analysiert ein RLC-Kreis mit der Impedanz \( Z = R + j\left(\omega L - \frac{1}{\omega C}\right) \). Für \( R = 10 \) Ω, \( L = 0.1 \) H, \( C = 100 \) μF und \( \omega = 1000 \) rad/s, wie groß ist der Betrag der Impedanz in Ohm?

📌 Berechne \( \omega L = 1000 \times 0.1 = 100 \) Ω.

📌 Berechne \( \frac{1}{\omega C} = \frac{1}{1000 \times 100 \times 10^{-6}} = \frac{1}{0.1} = 10 \) Ω.

📌 Impedanz \( Z = 10 + j(100 - 10) = 10 + j90 \).

📌 Betrag \( |Z| = \sqrt{10^2 + 90^2} = \sqrt{100 + 8100} = \sqrt{8200} \approx 90.55 \) Ω.

📌 #### 90.55

📌 ### Frage 7

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